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Calculus problems
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CHAP. 12]
INTEGRAL CALCULUS
333
INTEGRATION BY SUBSTITUTION
12.47.
Use integration by substitution to determine the indefinite integral for each of the following functions:
(a) / 252x² (7x3 - 12)2 dx
(b) / 90x® (3x4 + 1994 dx
(c) S 672x (8x2 – 9) dx
120x3
dx
(5x4 - 18)
-576x2
(e) /
dx
30x+
(8x + 13)
- dx
6x5-21
18.23
dx
9x4-5
(h) / 99x2 22x3 + 19dx
(i) | 96x?q4xdx
(j) / 120re-ar dx
INTEGRATION BY PARTS
12.48.
Use integration by parts to determine each of the following indefinite integrals:
(a) / 20x(x + 9)4 dx
(h) 42x(x – 3) dx
36.x
(c) S dx
-182
(x + 8)S
(d) S
(x-7)3
dx
6x
(e)s d.
VX+13
(f) / 45xVx+21dx
(g) 7xet-3 dx
(h) | 32.x2e4x dx
12.49.
A firm's marginal cost function is MC = x2 - 11x + 385. Its fixed costs are $450. Find the total cost TC
function.
12.50.
Find a firm's total cost of producing 3 extra units as a firm moves from a production level of 4 units to 7
units, given MC = 3x2 - 4x + 525.
12.51.
Find a fimm's total revenue TR function, given the marginal revenue function MR = -0.24x2 - 1.5x + 660.
12.52
Estimate the additional total revenue received from increasing sales from 10 to 12 units, given
MR = 104 - 6x.
12.53.
A car worth $6000 depreciates over the years at the rate V'(0) = 250(1-6) for 0
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Colorado State University Global Campus Process Costing Worksheet
Option #1: Process CostingYou Got Yogurt, Inc. manufactures yogurt that goes through three processing stages prior to comp ...
Colorado State University Global Campus Process Costing Worksheet
Option #1: Process CostingYou Got Yogurt, Inc. manufactures yogurt that goes through three processing stages prior to completion. Information on work in the first department, flavor identification and blending, is given below for November:Data on Production:Pounds in process at November 1; materials 100% complete; conversion 70% complete3,525Pounds started into production during November75,000Pounds completed and transferred out?Pounds in process, November 30; materials 85% complete; conversion 40% complete6,100Data on Costs:Work in process inventory, November 1: Materials cost$1,800Conversion cost$3,700Cost added during November: Materials cost$121,000Conversion cost$147,700The company uses the weighted-average method.Submit your assignment as an Excel spreadsheet document, clearly organized, with each tab or section labeled by item number that demonstrates the following:Compute the equivalent units of production.Compute the costs per equivalent unit for the month.Determine the cost of ending work in process inventory and of the units transferred out to the next department.Prepare a cost reconciliation schedule for the month. Below the schedule, comment on what the cost reconciliation schedule tells us about the company’s costs.Responses should be in complete sentences utilizing proper grammar. Your paper must be formatted according to CSU-Global Guide to Writing and APA Requirement
University of Maryland Global Campus Discussion Post
Attached are 4 discussion post. Basic honestly more of myths, and perspective. IT IS NOT ACTUAL MATH PROBLEMS.
I wil ...
University of Maryland Global Campus Discussion Post
Attached are 4 discussion post. Basic honestly more of myths, and perspective. IT IS NOT ACTUAL MATH PROBLEMS.
I will also place 2 classmate post for a response. Unable to post until I post my initial post. Please be aware I will also need responses to post
POST 1
If my learning path in ALEKS is any indication, transcription errors seem to be my biggest problem, followed by the occasional interpretation error. Several of my failures to clear a topic without providing an incorrect answer are the result of either typing/clicking the wrong number or symbol (a malfunctioning mouse isn’t helping) or seeing a word problem like one I’ve just completed and failing to catch one of the variables in the word problem was changed. You’d think by now I’d realize I won’t see the exact same problem twice! As a result, I’ve learned I need to double-check my entries before I hit submit, and make sure I pulled the right numbers out of a word problem.
Since starting this course, my confidence level has risen slightly. I attribute this in large part to ALEKS and how it approaches introducing topics. I find myself making it through probably 80-90% of the problem sets it throws at me without making any errors. The learning path and explanation buttons seem to be all I need in most cases - I’ve really only opened the textbook when doing the problem sets to see how my assigned problem lines up with the examples listed.
Classmates for response Week3:
Ryan
1. Agree or disagree with one of the Math Myths listed above. Find a link to one article on the Internet to support your response.
I agree with all of the myths listed except for myths 1 and 5. I do believe that the most important thing in math (as far as the U.S. education system appears to be concerned with) is getting the correct answer. In addition, I believe that math is a very logical and calculating field that often requires a keen analytical mindset. I do not agree with the statement that men are better than women at math in natural sense as this could be blamed on a societal construct versus anything from nature. For example, teachers often underestimate the ability of females to perform math functions, leading many of them to abandon the idea of pursuing a professional career in the field by the 8th grade (AAUW 2). While this is obviously a hot-take that is not true in the slightest, it is easy to see this being the case from a historical point of view. However, times have changed and this is no longer the case. Women have pursued careers in this field at a much higher rate; so much so that I can say that I’ve only had 1 or 2 male math teachers in my entire life versus dozens of female teachers. In addition, I am not above admitting that I am not that great at math and I am sure there are plenty of women within this class and outside of here that are much better at math than me. This statement, while dated and continuously evolving, is simply incorrect.
2. Share your own current or former feelings of math anxiety. Explain how you plan to deal with it in this course.
This is the first time I’ve heard this phrase before and I can genuinely say that I have a pretty rough case of math anxiety. When I first registered for classes at UMGC, I contacted my advisor and told her to tell me what the simplest math class is because I am “too stupid for anything else”. Part of that is just my sense of humor but another part of that is because I have always struggled with math and I was just saying how I felt albeit lightheartedly. Preparation is my key to getting through this anxiety; ensuring I stay ahead of the work and don’t have to rush through everything at a later date to avoid the feeling of being overwhelmed will help me avoid these thoughts. After all, I’ve made it this far by doing this and I can make it through this class by keeping this up.
Works Cited:
AAUW. The Myth of the Male Math Brain. American Association of University Women. No Date. https://www.aauw.org/resources/article/the-myth-of-the-male-math-brain/
Daniel
I'll address Math Myth #1: Aptitude for math is inborn. I disagree with the statement - to a point. However, there a certain stereotypes associated with math that have elements of truth which tie in to this myth. I recall listening to a podcast a couple years ago which broke down the "Asians are good at math" stereotype and why it often appears to be true. Perhaps the thing I found most intriguing was discussion of a Chinese language (I don't recall if it was Cantonese, Mandarin, or both) and how it is constructed in such a way that numbers can be communicated much more efficiently than in English. Rather than having weird linguistic constructs like "eleven, "twelve", "fourteen" and "thirty-seven", the Chinese language(s) use mono-syllabic words to say "one ten and one", "one ten and two", "one ten and four", and "three tens and seven". Additionally, aspects of culture play into approach to learning as well. So, aptitude for math isn't inborn, but some people are exposed to things at an early age and given tools that enable them to excel at math.
The article I found supports both points of view, and basically concludes that certain abilities related to mathematics, such as pattern recognition, may be inborn; however, crunching numbers isn't can't exist without numbers and a way to write and say them. dissenting viewpoint addresses precisely what I described in the previous paragraph.
Article Link: http://www.scienceclarified.com/dispute/Vol-2/Do-humans-have-an-innate-capacity-for-mathematics.html
University of South Florida Kidney Organ Transplant Opportunity Cost Paper
DESCRIPTION Part I - (this draws on opportunity cost (Ch 1) and markets (Ch 3)) Describe the market for kidney organs, as ...
University of South Florida Kidney Organ Transplant Opportunity Cost Paper
DESCRIPTION Part I - (this draws on opportunity cost (Ch 1) and markets (Ch 3)) Describe the market for kidney organs, as it would be in a free market without government intervention, using what you have learned about scarcity, marginal analysis in decision-making, and markets. You must include a discussion of resources, supply and demand, as well as marginal benefits and marginal costs. Think of this as an explanation of the pros and cons of the market using economic terminology.Describe the benefits and costs but leave the discussion of organ rationing and other solutions to the problems in this market for the next part. Describe this market using supply and demand; reference your graph in your description. Include “graph 1” of this market at the end of the paper (not included in page count). This should be a discussion without mentioning Price Controls; only discuss how the kidney organ market would be without government intervention. Feel free to use any stats or data that you find through your own research - make sure you use economics terminology.Part II - (this draws on government (Ch 4) to improve the discussion made in Part I) Consider the reasons why the market for kidney organs is not a free market in the US, and specifically discuss equity concerns. Expand on your discussion of the market from Part I, using what you have learned about government interventions/price controls.Discuss the current government intervention in the Kidney Market in the U.S. Describe this market - comparing the free market and to the government intervention in one graph - using supply and demand; reference and discuss your graph in your paper. Explain the current government intervention and exactly how it corrects the problems of the free market. Include any other beneficial aspects of the intervention that you find through your own research - make sure you use econ terminology throughout.Also discuss other Donation Systems Around the World; no need to add a graph here. Explore the policies that are currently implemented across the globe (i.e. some discussed in the articles include - routine removal, presumed consent, organ donor points, "no give, no take", etc.). Evaluate the limitations of these policies. Also consider how these policies fare in terms of the efficiency vs. equity debate. (You do not need to critique them all, just select from 2 or 3 different countries that you find interesting/appealing.)i am attaching my bibliography for the sites to use please use them.
4 pages
Visualization Of Data
For this study, the objective is the visualization of variables. Specifically, there will be visualization of both a categ ...
Visualization Of Data
For this study, the objective is the visualization of variables. Specifically, there will be visualization of both a categorical and continuous ...
Northern Star Online Trigonometric Functions Questions
FST Chapter 5 The questions are from the Chapter Review on pages 364-367 of our textbook (Please find in the attached W ...
Northern Star Online Trigonometric Functions Questions
FST Chapter 5 The questions are from the Chapter Review on pages 364-367 of our textbook (Please find in the attached Word.doc). . **Helpful tip: There are answers to the odd numbered questions in the back of the textbook (Please find in the attached Word.doc). Use these to help you make sure you are on the right track for the questions on the assignment. Print these pages out, show your work and circle your answers for each question below. You must show your work to earn full credit on each answer. If your answer is not correct I will look at your work to see if I can award partial credit. You may attach your work to this as long as you clearly mark which problem is being worked. If you type anything in, please use a dark color that is easy to distinguish from the black font of the question. When you are finished you should scan or take photos of the pages and send back to me. I suggest using the Camscanner app (free version) or a similar program so that you can attach your entire assignment as 1 file. When using this app, select the batch function so that you can take multiple pictures. Please take any photos of the test in bright light so that your answers and work show up clearly. Handwritten work is fine as long as it clearly shows what question the work is for and the answers are circled. 2. 4. 6. 8. 10. 12. 14. 16. 18. Give all 3 angles. 20. 22. 24. 26. 28.a.b.c. 30. 32. 34. 36. 44. Answer a b c or d 46. State the domain and the range 50. 70. True or False?
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Colorado State University Global Campus Process Costing Worksheet
Option #1: Process CostingYou Got Yogurt, Inc. manufactures yogurt that goes through three processing stages prior to comp ...
Colorado State University Global Campus Process Costing Worksheet
Option #1: Process CostingYou Got Yogurt, Inc. manufactures yogurt that goes through three processing stages prior to completion. Information on work in the first department, flavor identification and blending, is given below for November:Data on Production:Pounds in process at November 1; materials 100% complete; conversion 70% complete3,525Pounds started into production during November75,000Pounds completed and transferred out?Pounds in process, November 30; materials 85% complete; conversion 40% complete6,100Data on Costs:Work in process inventory, November 1: Materials cost$1,800Conversion cost$3,700Cost added during November: Materials cost$121,000Conversion cost$147,700The company uses the weighted-average method.Submit your assignment as an Excel spreadsheet document, clearly organized, with each tab or section labeled by item number that demonstrates the following:Compute the equivalent units of production.Compute the costs per equivalent unit for the month.Determine the cost of ending work in process inventory and of the units transferred out to the next department.Prepare a cost reconciliation schedule for the month. Below the schedule, comment on what the cost reconciliation schedule tells us about the company’s costs.Responses should be in complete sentences utilizing proper grammar. Your paper must be formatted according to CSU-Global Guide to Writing and APA Requirement
University of Maryland Global Campus Discussion Post
Attached are 4 discussion post. Basic honestly more of myths, and perspective. IT IS NOT ACTUAL MATH PROBLEMS.
I wil ...
University of Maryland Global Campus Discussion Post
Attached are 4 discussion post. Basic honestly more of myths, and perspective. IT IS NOT ACTUAL MATH PROBLEMS.
I will also place 2 classmate post for a response. Unable to post until I post my initial post. Please be aware I will also need responses to post
POST 1
If my learning path in ALEKS is any indication, transcription errors seem to be my biggest problem, followed by the occasional interpretation error. Several of my failures to clear a topic without providing an incorrect answer are the result of either typing/clicking the wrong number or symbol (a malfunctioning mouse isn’t helping) or seeing a word problem like one I’ve just completed and failing to catch one of the variables in the word problem was changed. You’d think by now I’d realize I won’t see the exact same problem twice! As a result, I’ve learned I need to double-check my entries before I hit submit, and make sure I pulled the right numbers out of a word problem.
Since starting this course, my confidence level has risen slightly. I attribute this in large part to ALEKS and how it approaches introducing topics. I find myself making it through probably 80-90% of the problem sets it throws at me without making any errors. The learning path and explanation buttons seem to be all I need in most cases - I’ve really only opened the textbook when doing the problem sets to see how my assigned problem lines up with the examples listed.
Classmates for response Week3:
Ryan
1. Agree or disagree with one of the Math Myths listed above. Find a link to one article on the Internet to support your response.
I agree with all of the myths listed except for myths 1 and 5. I do believe that the most important thing in math (as far as the U.S. education system appears to be concerned with) is getting the correct answer. In addition, I believe that math is a very logical and calculating field that often requires a keen analytical mindset. I do not agree with the statement that men are better than women at math in natural sense as this could be blamed on a societal construct versus anything from nature. For example, teachers often underestimate the ability of females to perform math functions, leading many of them to abandon the idea of pursuing a professional career in the field by the 8th grade (AAUW 2). While this is obviously a hot-take that is not true in the slightest, it is easy to see this being the case from a historical point of view. However, times have changed and this is no longer the case. Women have pursued careers in this field at a much higher rate; so much so that I can say that I’ve only had 1 or 2 male math teachers in my entire life versus dozens of female teachers. In addition, I am not above admitting that I am not that great at math and I am sure there are plenty of women within this class and outside of here that are much better at math than me. This statement, while dated and continuously evolving, is simply incorrect.
2. Share your own current or former feelings of math anxiety. Explain how you plan to deal with it in this course.
This is the first time I’ve heard this phrase before and I can genuinely say that I have a pretty rough case of math anxiety. When I first registered for classes at UMGC, I contacted my advisor and told her to tell me what the simplest math class is because I am “too stupid for anything else”. Part of that is just my sense of humor but another part of that is because I have always struggled with math and I was just saying how I felt albeit lightheartedly. Preparation is my key to getting through this anxiety; ensuring I stay ahead of the work and don’t have to rush through everything at a later date to avoid the feeling of being overwhelmed will help me avoid these thoughts. After all, I’ve made it this far by doing this and I can make it through this class by keeping this up.
Works Cited:
AAUW. The Myth of the Male Math Brain. American Association of University Women. No Date. https://www.aauw.org/resources/article/the-myth-of-the-male-math-brain/
Daniel
I'll address Math Myth #1: Aptitude for math is inborn. I disagree with the statement - to a point. However, there a certain stereotypes associated with math that have elements of truth which tie in to this myth. I recall listening to a podcast a couple years ago which broke down the "Asians are good at math" stereotype and why it often appears to be true. Perhaps the thing I found most intriguing was discussion of a Chinese language (I don't recall if it was Cantonese, Mandarin, or both) and how it is constructed in such a way that numbers can be communicated much more efficiently than in English. Rather than having weird linguistic constructs like "eleven, "twelve", "fourteen" and "thirty-seven", the Chinese language(s) use mono-syllabic words to say "one ten and one", "one ten and two", "one ten and four", and "three tens and seven". Additionally, aspects of culture play into approach to learning as well. So, aptitude for math isn't inborn, but some people are exposed to things at an early age and given tools that enable them to excel at math.
The article I found supports both points of view, and basically concludes that certain abilities related to mathematics, such as pattern recognition, may be inborn; however, crunching numbers isn't can't exist without numbers and a way to write and say them. dissenting viewpoint addresses precisely what I described in the previous paragraph.
Article Link: http://www.scienceclarified.com/dispute/Vol-2/Do-humans-have-an-innate-capacity-for-mathematics.html
University of South Florida Kidney Organ Transplant Opportunity Cost Paper
DESCRIPTION Part I - (this draws on opportunity cost (Ch 1) and markets (Ch 3)) Describe the market for kidney organs, as ...
University of South Florida Kidney Organ Transplant Opportunity Cost Paper
DESCRIPTION Part I - (this draws on opportunity cost (Ch 1) and markets (Ch 3)) Describe the market for kidney organs, as it would be in a free market without government intervention, using what you have learned about scarcity, marginal analysis in decision-making, and markets. You must include a discussion of resources, supply and demand, as well as marginal benefits and marginal costs. Think of this as an explanation of the pros and cons of the market using economic terminology.Describe the benefits and costs but leave the discussion of organ rationing and other solutions to the problems in this market for the next part. Describe this market using supply and demand; reference your graph in your description. Include “graph 1” of this market at the end of the paper (not included in page count). This should be a discussion without mentioning Price Controls; only discuss how the kidney organ market would be without government intervention. Feel free to use any stats or data that you find through your own research - make sure you use economics terminology.Part II - (this draws on government (Ch 4) to improve the discussion made in Part I) Consider the reasons why the market for kidney organs is not a free market in the US, and specifically discuss equity concerns. Expand on your discussion of the market from Part I, using what you have learned about government interventions/price controls.Discuss the current government intervention in the Kidney Market in the U.S. Describe this market - comparing the free market and to the government intervention in one graph - using supply and demand; reference and discuss your graph in your paper. Explain the current government intervention and exactly how it corrects the problems of the free market. Include any other beneficial aspects of the intervention that you find through your own research - make sure you use econ terminology throughout.Also discuss other Donation Systems Around the World; no need to add a graph here. Explore the policies that are currently implemented across the globe (i.e. some discussed in the articles include - routine removal, presumed consent, organ donor points, "no give, no take", etc.). Evaluate the limitations of these policies. Also consider how these policies fare in terms of the efficiency vs. equity debate. (You do not need to critique them all, just select from 2 or 3 different countries that you find interesting/appealing.)i am attaching my bibliography for the sites to use please use them.
4 pages
Visualization Of Data
For this study, the objective is the visualization of variables. Specifically, there will be visualization of both a categ ...
Visualization Of Data
For this study, the objective is the visualization of variables. Specifically, there will be visualization of both a categorical and continuous ...
Northern Star Online Trigonometric Functions Questions
FST Chapter 5 The questions are from the Chapter Review on pages 364-367 of our textbook (Please find in the attached W ...
Northern Star Online Trigonometric Functions Questions
FST Chapter 5 The questions are from the Chapter Review on pages 364-367 of our textbook (Please find in the attached Word.doc). . **Helpful tip: There are answers to the odd numbered questions in the back of the textbook (Please find in the attached Word.doc). Use these to help you make sure you are on the right track for the questions on the assignment. Print these pages out, show your work and circle your answers for each question below. You must show your work to earn full credit on each answer. If your answer is not correct I will look at your work to see if I can award partial credit. You may attach your work to this as long as you clearly mark which problem is being worked. If you type anything in, please use a dark color that is easy to distinguish from the black font of the question. When you are finished you should scan or take photos of the pages and send back to me. I suggest using the Camscanner app (free version) or a similar program so that you can attach your entire assignment as 1 file. When using this app, select the batch function so that you can take multiple pictures. Please take any photos of the test in bright light so that your answers and work show up clearly. Handwritten work is fine as long as it clearly shows what question the work is for and the answers are circled. 2. 4. 6. 8. 10. 12. 14. 16. 18. Give all 3 angles. 20. 22. 24. 26. 28.a.b.c. 30. 32. 34. 36. 44. Answer a b c or d 46. State the domain and the range 50. 70. True or False?
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