Im having trouble finding a certain generalization of the mean val

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I\'m having trouble finding a certain generalization of the

mean value theorem for integrals. I think my conjecture is

true, but I haven\'t been able to prove it - so maybe it

isn\'t.

Is the following true?

If F:U?Rn+1?W?Rnis a continuous function

and x:I?R?V?Rnis a continuous function

then ?t??[t1,t2]such that

?t2t1F(x(t),t)dt=F(x(t?),t?)(t2?t1)

I can see that it holds for each of the component functions

of F, but I\'m not sure about the whole thing.

Solution

g(t)=F(x(t),t)is a function from [t1,t2]?Rto Rn, so by

definition one integrates it component by component with

respect to the standard basis.

For each component gk, there exists t?k?[t1,t2]such that

(t2?t1)gk(t?k)=?t2t1gk(t)dtby the mean value theorem

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I\'m having trouble finding a certain generalization of the mean value theorem for integrals. I think my conjecture is true, but I haven\'t been able to prove it - so maybe it isn\'t. Is the following true? If F:U?Rn+1?W?Rnis a continuous function and x:I?R?V?Rnis a continuous function then ?t??[t1,t2]such that ?t2t1F(x(t),t)dt=F(x(t?),t?)(t2?t1) I can see that it holds for each of the component functions of F, but I\'m not sure about the whole thing. Solution g(t)=F(x(t),t)is a function from [t1,t2]?Rto Rn, so by definition one integrates it component by component with respect to the stand ...
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Rachael phillips his 200 applied history 11

In the space below, specify which historical lens you'd like to use for this exercise. The historical lens I chose to use ...

Rachael phillips his 200 applied history 11

In the space below, specify which historical lens you'd like to use for this exercise. The historical lens I chose to use for this exercise is Social ...

Analyzing Bay Pines Medical Center's Financial Statement

After gaining an understanding of the components of a financial statement, analyzing and applying what the component ...

Analyzing Bay Pines Medical Center's Financial Statement

After gaining an understanding of the components of a financial statement, analyzing and applying what the components represent, in terms of future planning, are the most important aspects of working in healthcare finance. Consider the following data and make your best analysis of per member per month (PMPM) rates, considering reductions in utilization or pricing. Bay Pines Medical Center estimates that a capitated population of 50,000 would have the following base case utilization and total cost characteristics: Service Category Inpatient Days per 1,000 Enrollees Average Cost per Day General 150 $1,500 Surgical 125 $1,800 Psychiatric 70 $700 Alcohol/Drug Abuse 38 $500 Maternity 42 $1,500 Total 425 $1,367 In addition to medical costs, Bay Pines allocates 10 percent of the total premium for administration/reserves. Tasks: On the basis of your data analysis, respond to the following: What is the PMPM rate that Bay Pines must set to cover medical costs plus administrative expenses? What would be the rate if a utilization management program were to reduce utilization within each patient service category by 10 percent? And by 20 percent? Consider the initial base case utilization assumption. What rate would be set if the average cost on each service were reduced by 10 percent? Assume that both utilization and cost reductions were made. What would the premium be? Submission Details: Present your analysis as a 3-page report in a Microsoft Word document formatted in APA style. On a separate page, cite all sources using APA format. Assignment 2 Grading Criteria Maximum Points Calculated the PMPM rate to cover medical and administrative costs. 40 Calculated utilization rates reduced by 10 percent. 36 Calculated utilization rates reduced by 20 percent. 36 Calculated the rate with the average service cost reduced by 10 percent. 40 Calculated the PMPM premium after utilization and cost reductions. 40 Wrote in a clear, concise, and organized manner; demonstrated ethical scholarship in accurate representation and APA style attribution of sources; displayed accurate spelling, grammar, and punctuation. 8 Total: 200

RC Identifying Analyzing and Debunking Fallacious Arguments Discussion

CompetencyThis deliverable will allow you to demonstrate your skill in identifying, analyzing and debunking fallacious arg ...

RC Identifying Analyzing and Debunking Fallacious Arguments Discussion

CompetencyThis deliverable will allow you to demonstrate your skill in identifying, analyzing and debunking fallacious arguments.InstructionsA friend has linked you to the following story on Facebook. The friend is convinced that the story is accurate and would like your opinion on it. Colour code: HOW COLORSTROLOGY CAN WORK FOR YOU Read through the linked story and determine:Why the article is fallacious.Provide clear evidence why the article is fallacious.Use APA style for the abstract and include a properly-formatted reference for the article. Grammar and punctuation count.Title: Colour code: HOW COLORSTROLOGY CAN WORK FOR YOU. By: Webeck, Donna, Good Health (Australia Edition), 22049932, Apr2016Database: Consumer Health Complete - EBSCOhostColour code: HOW COLORSTROLOGY CAN WORK FOR YOU ContentsJanuary: CARAMELFebruary: SHEER LILACMarch: FAIR AQUAApril: CAYENNEMay: BUDGREENJune: ASPEN GOLDJuly: CORAL BLUSHAugust: SUN ORANGESeptember: BAJA BLUEOctober: CERULEANNovember: CLARET REDDecember: PAGODA BLUEListen American Accent Australian Accent British Accent Section: fitness | beauty | wellnessCertain hues can make you feel more energetic, more peaceful and increase your confidence. Donna Webeck finds out howEver wondered why you are drawn to a particular colour, or why wearing a specific shade seems to fire up your passion, intellect or energy.In her book Colorstrology: What Your Birthday Colour Says About You, astrologist and metaphysician Michele Bernhardt reveals that every month of the year has a colour aligned with it, which is broken down to one unique hue for each day of that month.“Colorstrology is a system that I created that’s based on each person’s birthday,” explains Bernhardt. “What it does is give people an insight into who they really are and a unique understanding of their personality.”Created in conjunction with Pantone, the global authority on colour, Bernhardt says colorstrology isn’t just about the colour associated with your birth month, nor is it always your favourite colour. More so, it’s about how you use a specific shade to enhance your life. “It can be a lipstick, it can be a thread in a scarf, and when you start to tune into the energy of the colour it’s very balancing. It makes you think about your inner world.”Bernhardt also explains there will be times when you are drawn to a colour other than your birth month shade. “The colour you are drawn to is a good sign – it tells you what you may be needing.”Therefore, if you needed more energy you would integrate the colour associated with April (cayenne) into your life, for instance wearing it while working out. Or if you need a boost in intellectual stimulation, the colour aligned with June (aspen gold) will help to activate your brain.Here, we discover which colorstrology shade corresponds to each birth month and the three main personality traits associated with it, and get an overview of how the colour works in harmony with this particular month. Find out what your birth month colour says about you, or determine which of these shades you are drawn to, in order to see what you need more of in your world.January: CARAMELPRACTICAL | DETERMINED | BUILDERThe colour caramel helps us reconnect with the responsible and more disciplined side of our personality, something which is much needed after the festive season is over. A grounding colour, caramel encourages you to stay focused, and to foster your patience and persistence.February: SHEER LILACUPLIFTING | PROGRESSIVE | DETACHEDAn excellent colour for when you are feeling emotionally entangled, sheer lilac helps to perfect the art of detachment. With a strong sense of friendship and community associated with it, this shade inspires and invites us to practise humanity and kindness.March: FAIR AQUAINTUITIVE | SUBTLE | EMPATHETICFair aqua is the colour connected to childlike wonder. Just the hue to help lift your spirits, it also acts as a conduit between the conscious and subconscious worlds. It is also the ideal shade to wear or surround yourself with if you have difficulty sleeping well.April: CAYENNEFIERY | ENERGETIC | COURAGEOUSEpitomising fearlessness and courage, cayenne is the colour of energy and pizzazz. Focused on excitement and passion, this bold tone loves new beginnings and initiating action. Promoting vitality and self-confidence, this is the colour that will give you a competitive edge.May: BUDGREENHEALING | REJUVENATING | PROSPEROUSA colour of vitality and substance, bud green is a therapeutic hue that promotes healing, and also invites prosperity into our lives. Wearing it opens the heart and helps you manifest your soul’s true purpose.June: ASPEN GOLDRADIANT | INTELLECTUALLY ENERGISING | UPLIFTINGRepresenting radiance and all that is light and bright in life, aspen gold dispels darkness and instils optimism. Known also as a colour that enhances your skills of articulation and mental agility, it assists with stimulating the brain and increasing our intelligence. Aspen gold can bring joy into your life and renew your energy.July: CORAL BLUSHSOOTHING | RECEPTIVE | NURTURINGActing as a colour which opens our hearts and lifts our spirits, coral blush is all about love. Gentle and nurturing, this is a shade which is strongly aligned with feminine energy and emotional healing. It’s also a wonderful hue to guide you through traumas and help you adjust to life’s changes. It can make us more receptive to love.August: SUN ORANGEREGAL | INSPIRING | POWERFULSymbolising all that is grand and influential, sun orange is the shade of royalty. It is also a key colour for self-expression, laughter, and both spiritual and material riches. Let the good times roll with sun orange, which epitomises celebration and the brighter side of life. Sun Orange makes us happier while bringing us financial security.September: BAJA BLUEDIVINE | DISCERNING | ARTISTICBaja blue is the embodiment of both peace and beauty. Promoting tranquillity and a pureness of mind, this colour draws our attention to the beauty of order and space. Surrounding ourselves with baja blue helps us with patience and eloquence.October: CERULEANPEACEFUL | POISED | BALANCEDAs a colour that restores equilibrium and promotes calm in your world, cerulean is all about serenity and harmony. It personifies subtle strength and taking decisive action and is the colour of beauty and balance.November: CLARET REDINTENSE | PASSIONATE | TRANSFORMINGThe builder of dreams and ambitions, claret red inspires depth and strength of character. It is also known to arouse passion and awaken libidos, as well as removing any emotional blocks.December: PAGODA BLUEWISDOM | TRUTH | VISIONThe truth will always prevail with pagoda blue. By linking information with truth and wisdom, this colour represents vision, exploration and optimism. It’s a shade to draw on when dealing with different points of view to your own.PHOTO (COLOR)PHOTO (COLOR)PHOTO (COLOR)PHOTO (COLOR)PHOTO (COLOR)This article is copyrighted. All rights reserved. Source: Good Health (Australia Edition)Full TextResult List Refine Search 1 of 1

Accounting assignment due in 6 hours

Module 7: Portfolio Milestone Portfolio Milestone (100 Points) Important! Read First Choose one of the following ...

Accounting assignment due in 6 hours

Module 7: Portfolio Milestone Portfolio Milestone (100 Points) Important! Read First Choose one of the following two assignments to complete this week. Do not do both assignments. Identify your assignment choice in the title of your submission. Option #1: Corporate Tax Return Tax returns collect a great deal of information that is not directly related to the allocation of income or calculation of income tax. In this milestone, you will explore the reasons why some of this information is collected. Look at the information on Form 1120 Schedule K (the form is located in Portfolio Project Option 1, which is found in the Module 8 folder). With the exception of line 1, discuss the purpose of these questions. (You may select a sub-grouping of these questions to complete your milestone.) What are some challenges (identify three to five), both anticipated and unexpected, when completing the corporate tax return? What solutions can you provide to those challenges? Requirements: While you may include your experiences, please remember to maintain a formal tone and cite scholarly research to support your analysis. Back up your discussion with research from five scholarly sources (you may not use the course textbook to fulfill this requirement). Your analysis should be 4-5 pages in length not counting the title and reference pages, which you must include. Your milestone must be formatted according to the CSU-Global Guide to Writing and APA. Review the Milestone grading rubric, which can be accessed in the module folder, to understand how you will be assessed on this assignment. Reach out to your instructor if you have questions about the assignment Option #2: Partnership Tax Return Tax returns collect a great deal of information that is not directly related to the allocation of income or calculation of income tax. In this milestone, you will explore the reasons why some of this information is collected. Look at the information on Form 1065 Schedule B (the form is in the Portfolio Project Option 2, located in the Module 8 folder). With the exception of line 1, discuss the purpose of these questions. (You may select a sub-grouping of these questions to complete your milestones.) What are some challenges (identify three to five), both anticipated and unexpected, when completing the partnership tax return? What solutions can you provide to those challenges? Requirements: While you may include your experiences, please remember to maintain a formal tone and cite scholarly research to support your analysis. Back up your discussion with research from five scholarly sources (you may not use the course textbook to fulfill this requirement). Your analysis should be 4-5 pages in length not counting the title and reference pages, which you must include. Your milestone must be formatted according to the CSU-Global Guide to Writing and APA. Review the Milestone grading rubric in the module folder. Reach out to your instructor if you have questions about the assignment.

5 pages

Drug Use And Addiction

Describe the medical and spiritual uses of hallucinogens both currently and in the past. Hallucinogens have been synthetic ...

Drug Use And Addiction

Describe the medical and spiritual uses of hallucinogens both currently and in the past. Hallucinogens have been synthetic substances for a period of ...

Twelfth Grade English 1: Early British unit 5

Answer the different questions in the document below.Thanks

Twelfth Grade English 1: Early British unit 5

Answer the different questions in the document below.Thanks

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Rachael phillips his 200 applied history 11

In the space below, specify which historical lens you'd like to use for this exercise. The historical lens I chose to use ...

Rachael phillips his 200 applied history 11

In the space below, specify which historical lens you'd like to use for this exercise. The historical lens I chose to use for this exercise is Social ...

Analyzing Bay Pines Medical Center's Financial Statement

After gaining an understanding of the components of a financial statement, analyzing and applying what the component ...

Analyzing Bay Pines Medical Center's Financial Statement

After gaining an understanding of the components of a financial statement, analyzing and applying what the components represent, in terms of future planning, are the most important aspects of working in healthcare finance. Consider the following data and make your best analysis of per member per month (PMPM) rates, considering reductions in utilization or pricing. Bay Pines Medical Center estimates that a capitated population of 50,000 would have the following base case utilization and total cost characteristics: Service Category Inpatient Days per 1,000 Enrollees Average Cost per Day General 150 $1,500 Surgical 125 $1,800 Psychiatric 70 $700 Alcohol/Drug Abuse 38 $500 Maternity 42 $1,500 Total 425 $1,367 In addition to medical costs, Bay Pines allocates 10 percent of the total premium for administration/reserves. Tasks: On the basis of your data analysis, respond to the following: What is the PMPM rate that Bay Pines must set to cover medical costs plus administrative expenses? What would be the rate if a utilization management program were to reduce utilization within each patient service category by 10 percent? And by 20 percent? Consider the initial base case utilization assumption. What rate would be set if the average cost on each service were reduced by 10 percent? Assume that both utilization and cost reductions were made. What would the premium be? Submission Details: Present your analysis as a 3-page report in a Microsoft Word document formatted in APA style. On a separate page, cite all sources using APA format. Assignment 2 Grading Criteria Maximum Points Calculated the PMPM rate to cover medical and administrative costs. 40 Calculated utilization rates reduced by 10 percent. 36 Calculated utilization rates reduced by 20 percent. 36 Calculated the rate with the average service cost reduced by 10 percent. 40 Calculated the PMPM premium after utilization and cost reductions. 40 Wrote in a clear, concise, and organized manner; demonstrated ethical scholarship in accurate representation and APA style attribution of sources; displayed accurate spelling, grammar, and punctuation. 8 Total: 200

RC Identifying Analyzing and Debunking Fallacious Arguments Discussion

CompetencyThis deliverable will allow you to demonstrate your skill in identifying, analyzing and debunking fallacious arg ...

RC Identifying Analyzing and Debunking Fallacious Arguments Discussion

CompetencyThis deliverable will allow you to demonstrate your skill in identifying, analyzing and debunking fallacious arguments.InstructionsA friend has linked you to the following story on Facebook. The friend is convinced that the story is accurate and would like your opinion on it. Colour code: HOW COLORSTROLOGY CAN WORK FOR YOU Read through the linked story and determine:Why the article is fallacious.Provide clear evidence why the article is fallacious.Use APA style for the abstract and include a properly-formatted reference for the article. Grammar and punctuation count.Title: Colour code: HOW COLORSTROLOGY CAN WORK FOR YOU. By: Webeck, Donna, Good Health (Australia Edition), 22049932, Apr2016Database: Consumer Health Complete - EBSCOhostColour code: HOW COLORSTROLOGY CAN WORK FOR YOU ContentsJanuary: CARAMELFebruary: SHEER LILACMarch: FAIR AQUAApril: CAYENNEMay: BUDGREENJune: ASPEN GOLDJuly: CORAL BLUSHAugust: SUN ORANGESeptember: BAJA BLUEOctober: CERULEANNovember: CLARET REDDecember: PAGODA BLUEListen American Accent Australian Accent British Accent Section: fitness | beauty | wellnessCertain hues can make you feel more energetic, more peaceful and increase your confidence. Donna Webeck finds out howEver wondered why you are drawn to a particular colour, or why wearing a specific shade seems to fire up your passion, intellect or energy.In her book Colorstrology: What Your Birthday Colour Says About You, astrologist and metaphysician Michele Bernhardt reveals that every month of the year has a colour aligned with it, which is broken down to one unique hue for each day of that month.“Colorstrology is a system that I created that’s based on each person’s birthday,” explains Bernhardt. “What it does is give people an insight into who they really are and a unique understanding of their personality.”Created in conjunction with Pantone, the global authority on colour, Bernhardt says colorstrology isn’t just about the colour associated with your birth month, nor is it always your favourite colour. 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Find out what your birth month colour says about you, or determine which of these shades you are drawn to, in order to see what you need more of in your world.January: CARAMELPRACTICAL | DETERMINED | BUILDERThe colour caramel helps us reconnect with the responsible and more disciplined side of our personality, something which is much needed after the festive season is over. A grounding colour, caramel encourages you to stay focused, and to foster your patience and persistence.February: SHEER LILACUPLIFTING | PROGRESSIVE | DETACHEDAn excellent colour for when you are feeling emotionally entangled, sheer lilac helps to perfect the art of detachment. With a strong sense of friendship and community associated with it, this shade inspires and invites us to practise humanity and kindness.March: FAIR AQUAINTUITIVE | SUBTLE | EMPATHETICFair aqua is the colour connected to childlike wonder. 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Accounting assignment due in 6 hours

Module 7: Portfolio Milestone Portfolio Milestone (100 Points) Important! Read First Choose one of the following ...

Accounting assignment due in 6 hours

Module 7: Portfolio Milestone Portfolio Milestone (100 Points) Important! Read First Choose one of the following two assignments to complete this week. Do not do both assignments. Identify your assignment choice in the title of your submission. Option #1: Corporate Tax Return Tax returns collect a great deal of information that is not directly related to the allocation of income or calculation of income tax. In this milestone, you will explore the reasons why some of this information is collected. Look at the information on Form 1120 Schedule K (the form is located in Portfolio Project Option 1, which is found in the Module 8 folder). With the exception of line 1, discuss the purpose of these questions. (You may select a sub-grouping of these questions to complete your milestone.) What are some challenges (identify three to five), both anticipated and unexpected, when completing the corporate tax return? What solutions can you provide to those challenges? Requirements: While you may include your experiences, please remember to maintain a formal tone and cite scholarly research to support your analysis. Back up your discussion with research from five scholarly sources (you may not use the course textbook to fulfill this requirement). Your analysis should be 4-5 pages in length not counting the title and reference pages, which you must include. Your milestone must be formatted according to the CSU-Global Guide to Writing and APA. Review the Milestone grading rubric, which can be accessed in the module folder, to understand how you will be assessed on this assignment. Reach out to your instructor if you have questions about the assignment Option #2: Partnership Tax Return Tax returns collect a great deal of information that is not directly related to the allocation of income or calculation of income tax. In this milestone, you will explore the reasons why some of this information is collected. Look at the information on Form 1065 Schedule B (the form is in the Portfolio Project Option 2, located in the Module 8 folder). With the exception of line 1, discuss the purpose of these questions. (You may select a sub-grouping of these questions to complete your milestones.) What are some challenges (identify three to five), both anticipated and unexpected, when completing the partnership tax return? What solutions can you provide to those challenges? Requirements: While you may include your experiences, please remember to maintain a formal tone and cite scholarly research to support your analysis. Back up your discussion with research from five scholarly sources (you may not use the course textbook to fulfill this requirement). Your analysis should be 4-5 pages in length not counting the title and reference pages, which you must include. Your milestone must be formatted according to the CSU-Global Guide to Writing and APA. Review the Milestone grading rubric in the module folder. Reach out to your instructor if you have questions about the assignment.

5 pages

Drug Use And Addiction

Describe the medical and spiritual uses of hallucinogens both currently and in the past. Hallucinogens have been synthetic ...

Drug Use And Addiction

Describe the medical and spiritual uses of hallucinogens both currently and in the past. Hallucinogens have been synthetic substances for a period of ...

Twelfth Grade English 1: Early British unit 5

Answer the different questions in the document below.Thanks

Twelfth Grade English 1: Early British unit 5

Answer the different questions in the document below.Thanks