Question 1 < > B0/10 pts 5 3 399 0 Details Desmos Scientific Calculator WolframAlpha is convenient to plug several successive inputs in one complicated function. For example, type "X^2-y^2-2xy for x=1 where y=4" in Wolfram Alpha ", then change the values of x and y as many times as you want. Find the critical point of the function f(x, y) = 1 – 4x – 6x2 – 5y – 2y2 This critical point is a v Select an answer Maximum Question Help: Vi Minimum Saddle Submit Question Question < > B0/10 pts 53 99 0 Details Suppose that f(x, y) = x4 + y4 – xy Then the minimum value is Gda Question 3 < > B0/10 pts 5 3 99 0 Details Find and classify the critical points of z = (z– 6x) (y2 – 3y) Local maximums at: Local minimums at: Saddle points at: For each of the fields above, enter an ordered pair (x, y) (or a comma- separated list of ordered pairs) where the max/min/saddle occurs. If there are none enter DNE. Question 4 < B0/10 pts 5 3 399 0 Details A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the first model made, and let y represent the number (in millions) of the second model made. The company's revenue can be modeled by the equation R(x, y) 60x + 1307 – 3x2 – 2y2 – xy Find the marginal revenue equations R (x, y) = C R, (2, y) = We can achieve maximum revenue when both partial derivatives are equal to zero. Set Rx O and Ry O and solve as a system of equations to the find the production levels that will maximize revenue. = Revenue will be maximized when: X = y = Nuortion Voln Video Question 5 く > B0/10 pts 53 99 0 Details An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is made from a material costing 8 cents/in?. The front of the box must be decorated, and will cost 11 cents/in2. The remainder of the sides will cost 3 cents/in?. Find the dimensions that will minimize the cost of constructing this box. Front width: in. Depth: in. Height: in. 7:35 AA A studypool.com Studpool = VIP Search for study resources Q Your payment has been released to apradeep92. Did you enjoy working with this tutor? Invite them to answer another question! ASK NEW QUESTION B I U = G GIF Secure Info U Upload File(s) ) r > View History Edit File Chrome x OD THPIM Quiz: Test 4 Part 1 (Online #marin.instructure.com/courses/17246/assignments/148827 B0/5 pts O2 O Det Zoom WARNING: Click "Start Assessment" ONLY if Proctorio and Camera are active. Score: 0/104 0/18 answered 6 vo Vo Modules < Discussions Question 1 Grades COM Online Tutoring/Labs Desmos Scientific Calculator T JO 00) NetTutor Desmos Graphing Calculator Symbolab 9 NameCoach Geometric Distribution Calculator Poisson Distribution Calculator 2 Normal Probability App ? Find the power series for f(x) = ln(1 – x4) centered at x = 0 from the known power series expansion In(1+2) = Į (- 1)+1.x +lxn n n=1 f(x) = À n=1 Submit Question || Proctorio is sharing your screen. Stop sharing Hide 2,889 MAY 1 1 31 4 PAGES 모 O A o > O Quiz: Test marin.instructure.com/cour WARNING: Click "Start A Score: 0/104 0/18 answered 6 Vo 。 om odules cussions Question 2 es Desmos Scientific Calculator Online ng/Labs Desmos Graphing Calculator or 가 Symbolab pach Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f. 6n 1 1-26 Σ If f(x) = n=0 f'(x) = = 8 n=1 Submit Question Hide Stop sharing Il Proctorio is sharing your screen. 5 PAGES A 31 S. 1 1 MAY 2,889 3D 4 Help Details Window Tab People x B 0/5 pts 2 Bookmarks .JPG History T4PIM View it 4 Part 1 (Online 77. instructure.com/courses/17246/assignments/148827 WARNING: Click "Start Assessment" ONLY if Proctorio and Camera are ac Score: 0/104 0/18 answered 8 Vũ < Question 3 Desmos Scientific Calculator Desmos Graphing Calculator Symbolab Geometric Distribution Calculator Poisson Distribution Calculator 24 + Normal Probability App x2 + 2! 4! cos(x) - 1 22 2 +0 We know that the MacLaurin series of cos(x) is 1 Replace cos(x) with these first three terms to find lim 5 Hide Submit Question A Stop sharing I PAGES Il Proctorio is sharing your screen. 31 1 1 3D MAY 2.889 4 Help Details Window Tab People x B 0/5 pts 2 Bookmarks .JPG History T4PIM View it 4 Part 1 (Online 77. instructure.com/courses/17246/assignments/148827 WARNING: Click "Start Assessment" ONLY if Proctorio and Camera are ac Score: 0/104 0/18 answered 8 Vũ < Question 3 Desmos Scientific Calculator Desmos Graphing Calculator Symbolab Geometric Distribution Calculator Poisson Distribution Calculator 24 + Normal Probability App x2 + 2! 4! cos(x) - 1 22 2 +0 We know that the MacLaurin series of cos(x) is 1 Replace cos(x) with these first three terms to find lim 5 Hide Submit Question A Stop sharing I PAGES Il Proctorio is sharing your screen. 31 1 1 3D MAY 2.889 4 Desmos Scientific Cal Desmos Graphing Calculator Symbolab Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 600 tickets. There is one $1,000 grand prize, two $200 second prizes, and sixteen $30 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. $ Submit Question LO Hide A Stop sharing s PAGES II Proctorio is sharing your screen. 31 (8 MAY 4. (4) 2,889 F12 OL F11 F10 delete F9 + 1 I F8 FZ 2 é o F6 9 { FS 1 & DO 64 8 7 Р مج % 응 O o 5 I U Y T R Р L K J H ? 2 A Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App An LG Dishwasher, which costs $850, has a 24% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warranty costs $112.10 on a dishwasher. a) Write out the probability distribution for the value of the extended warranty. The value, denoted X below, is the money paid by the warranty to the customer, minus the cost of the warranty. Make sure you enter your X values from smallest to largest. Х P(X) b) What is the expected value of the extended warranty? Round final answer to 2 decimal places and write the units in the second box. c) Which of the following is the correct interpretation of the expected value of the warranty? ✓ Select an answer For a large number extended warranties bought by customers, the average gain is 91.9 dollars per warranty Every time you buy such a warranty you will gain 91.9 dollars Every time you buy the extended warranty the dishwasher breaks Il Proctorio is sharing your screen. Stop sharing Hide MAY 1 1 31 4 PAGES 5 3D r A st 4 Part 1 (Online : in instructure.com/courses/17246/ass 6 Vod Question 6 Desmos Scientific Calculator s Desmos Graphing Calculator Symbolab Geometric Distribution Calculator Poisson Distribution Calculator C Normal Probability App Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 5. Find the probability of no dandelions in an area of 1 m2. Give at least four decimals. P(X = 0) = Find the probability of at least one dandelion in an area of 1 m2. Give at least four decimals. Plat least one) = Find the probability of at most two dandelions in an area of 1 m2. Give at least four decimals. P(X < 2) = Hide 5 g Submit Question Stop sharing MA mus I Il Proctorio is sharing your screen. PAGES 31 1 3D MAY 2,889 4 com/courses/17246/assi WARNING: Click "S Score: 14/104 3/18 answered 6 Vo y. - Question 7 Desmos Scientific Calculator Desmos Graphing Calculator Symbolab Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App 77% of a basketball player's free throw shots are successful. In a given game, find the probability that (a) her first successful freethrow shot is shot number five. (b) she makes her first successful freethrow within the first four shots. Hide A w (c) she takes more than five shots to make her first successful free throw. Stop sharing Round all answers to four decimal places. PAGES Submit Question 31 Il Proctorio is sharing your screen. 1 1 MAY 4 2,889 F8 2 3/1 : > rin. instructure.co WARN Score: 14/104 6 vo Question 8 75 Desmos Scientific Calculator ine Labs Desmos Graphing Calculator Symbolab ach Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with mean 25 miles. (a) What percentage of people are willing to commute at most 42 miles to work? (b) 55% of people are willing to commute at most how many miles to work? 5 g C Hide A Round all answers to two decimal places. Stop sharing Submit Question PAGES Il Proctorio is sharing your screen. 31 3D MAY 2,889 4 DI . O 9 & 8 7 P % structure > WA Score: 14/104 vo Question 9 Desmos Scientific Calculator Desmos Graphing Calculator Symbolab Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App Private nonprofit four-year colleges charge, on average, $26,610 per year in tuition and fees. The standard deviation is $7,338. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO (Round to the nearest dollar.) b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,402 per year. 5 f Hide A Stop sharing c. Find the 79th percentile for this distribution. $ PAGES Il Proctorio is sharing your screen. 31 Submit Question 1 MAY 2,889 4. OL 0 9 & * 00 5 # marin instructure.com courses/12246/assignments/748827 WARNING: Click "Start Assessment Score: 34/104 5/18 answered 6 V 22 ies Question 10 ssions s Desmos Scientific Calculator Online g/Labs Desmos Graphing Calculator Symbolab or oach Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App The lifetime of a printer costing $130 is exponentially distributed with mean 3.67 years. The manufacturer agrees to pay a full refund to a buyer if the printer fails during the first half year following its purchase and a one-half refund if it fails during the second half year. If the manufacturer sells 240 printers, how much should it expect to pay in refunds? S Submit Question Hide 5 Stop sharing A Il Proctorio is sharing your screen. PAGES 31 1 1 MAY 3D 2,889 4 | NameCoach Geometric Distri Poisson Distribution Calculator Normal Probability App у Identify the equation of the plane shown below: Oz=0 Ox=0 Hide 01 Oy=0 Stop sharing som A Il Proctorio is sharing your screen. PAGES Submit Question 31 1 1 3D MAY 2,889 4 Joo BOS * 1 0 2 集 ( 9 & 7 % 8 z 6 5 O P 5/18 acements WARN Score: 34/104 Byo Question 12 ions Desmos Scientific Calculator nline /Labs Desmos Graphing Calculator Symbolab pach Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App Find the distance from the point (4,-5,6) to the yz-plane. Submit Question 5 С Hide Stop sharing G PAGES Il Proctorio is sharing your screen. 31 3D MAY 2,889 4. | F 2 0 go & 9 8 -1.5.1.0.5 0 05 1 1.5 3.5 Poisson Distri Normal Probability App! 3 2.5 2 Z 151050051lsea Match each contour map with its graph 1.5 1 0.5 0 a. 2+ + у -1.5 -1.0.50 0.5 1 1.5 N+ + 5 1 4 --- -1 -2 1.5 70.500 517.522 2 Z 1 2 군 0 2 2 -1 Hide b. 5 Stop sharing A Il Proctorio is sharing your screen. PAGES 31 1 3D MAY 2,889 4 goo 0 & 9 8 2 y -1.5 -1.0,5 0 0,5 1 1,5 1 4 3 2 2 7 1919999gri.se i 1 2 b. У -1.5.1.0,5 0 0,5 1 1.5 7 X -2+ 2+ 5 1.5 080081'lsa, 4 2 1 3 2 5 Hide C A + Stop sharing t -2 PAGES -1 Il Proctorio is sharing your screen. 31 1 1 3D MAY 2,889 4 0 90 & 9 b . у 1.5.1 -0.50 0.5 1 1.5 7 6 х 5 -24 4 Z 1.570500811.522 2+ 3 2 1 1 0 + C. ✓ -17 Q 5 -27 Hide A Stop sharing I 1522 15 PAGES Il Proctorio is sharing your screen. 31 1 1 3D MAY 4 2,889 FB 1 F6 l 9 0 of 8 < } -2 -1 a -2+ у 3 2 х 1.5 70500517.5+2 1.5 -1 -0.5 0 0.5 1 1.5 1 0 Z. -1 2 3 4. d. 5 Hide A Stop sharing PAGES . Il Proctorio is sharing your screen. 31 1 1 3D MAY 4 2,889 FO II F8 "FO 0 FS 9 god & * 00 DDD % 7 Р 6 iew art 1 (Online) Question 14 instructure.com/courses/17 Desmos Scientific Calculator Desmos Graphing Calculator ne Labs Symbolab or Geometric Distribution Calculator Coach Poisson Distribution Calculator Normal Probability App 450 A contour map for a function f is shown. Estimate the value of f(3, 16) 360 5 20 Ali 270 15 Hide We 10 180 Stop sharing PAGES 4 5 5 90 3 31 2 Il Proctorio is sharing your screen. 3D f(3,16) = MAY 4 2,889 키 0 9 * 00 F5 & 7 0 200 DOD ad ol People > T4P1M History Bookmarks х (Online) o Question 15 tructure.com/courses/17246/assignments/148827 Desmos Scientific Calculator Desmos Graphing Calculator e abs Symbolab Geometric Distribution Calculator Coach Poisson Distribution Calculator Normal Probability App C A contour map for a function f is shown. If you start at the point (-4,7) and move in the positive x direction, does the function value increase or decrease? A O Increases O Decreases 40 N Hide DO 8 H 커 30 6 6 Stop sharing 5 PAGES vo بالسر 4 3 50 31 10 2 2 3 40: Il Proctorio is sharing your screen. 5 -4 -3 -2 / .. 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MAY 4 2,889 1 키 0 → 9 * -jpg Help Window Tab + People Bookmarks History .JPG View T4PIM Edit File Quiz: Test 4 Part 1 (Online marin.instructure.com/courses/17246/assignments/148827 At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of acetate fibers that can be produced is given by the function: z = f(x, y) = 12000x + 4500y + 10x²y - 14x3 Where: z = the weekly # of pounds of acetate fiber x = the # of skilled workers at the plant y = the # of unskilled workers at the plant Determine the following: A) The weekly number of pounds of fiber that can be produced with 16 skilled workers and 33 unskilled workers. pounds Answer = B) Find an expression (fc) for the rate of change of output with respect to the number of skilled workers. Answer = fo = C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = fy = D) Find the rate of change of output with respect to skilled workers when 16 skilled workers and 33 unskilled workers are employed. (Your answer will be a number.) weekly pounds per skilled worker Answer = Hide 5 Stop sharing E) Find the rate of change of output with respect to unskilled workers when 16 skilled workers and 33 unskilled workers are employed. (Your answer will be a number.) A Il Proctorio is sharing your screen. So PAGES 31 Answer = 1 1 MAY 3D 2.889 4 View Part 1 Online astructure.com/courses/17246/assi Question 18 Desmos Scientific Calculator Desmos Graphing Calculator Symbolab Geometric Distribution Calculator Poisson Distribution Calculator Normal Probability App I P(L,K) = 30L0.9600.1 Consider the Cobb-Douglas Production function: Find the marginal productivity of labor and marginal productivity of capital functions. Enter your answers using CAPITAL L and K, or your answer will not be recognized. 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