Feedback Week 4 QuizHelp CenterYou submitted this quiz onMon 2 Mar 2015 9:41 AM PST. You got a score of2.00out of8.00. You canattempt again, if you'd like.Top of FormQuiz 4: There is one question for each of the 8 topics from week 4. The time limit is 1 hour and you only get one try so make sure you have your notes and the week 4 slides handy. Good luck!Question 1Compute the iterated integral3021x2ydydx. (provide a numeric answer out to the tenth)Answer for Question 1You entered:PreviewHelpYour AnswerScoreExplanation

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First integrate wrt y, then wrt x.Question 2For practice work the following equations:LetD={(x,y):x2+y21,y0}. What iterated integral would you use to computeDf(x,y)dA?Your AnswerScoreExplanation

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The regionDis the top half of the unit disk. Integrating wrtxfirst:101y21y2f(x,y)dxdy. Integrating wrtyfirst:111x20f(x,y)dydx.Question 3Suppose we want to use the change of variabless=xyandt=yx(forx>0,y>0) to compute the double integralDf(x,y)dxdy. What is the Jacobian of the change of variables?Answer for Question 3You entered:PreviewHelpYour AnswerScoreExplanation

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Question 4Consider the double integralDf(x,y)dxdy. What is the Jacobian of the change of variablesx=u2v2,y=2uv?Answer for Question 4You entered:PreviewHelpYour AnswerScoreExplanation

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Question 5Use the fact that the integrand is separable to compute3021x2ydxdy. (provide a numeric answer out to the tenth)Answer for Question 5You entered:PreviewHelpYour AnswerScoreExplanation

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Question 6For practice work the following equations:Rewrite the integral111x20(x2+y2)dydxin polar coordinates.Your AnswerScoreExplanation

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The correct answer is010r3drd.Question 7For practice work the following equations:Rewrite the integral101x20e(x2+y2)dxdyin polar coordinates.Your AnswerScoreExplanation

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The correct answer is:2010rer2drd.Question 8Compute2exp[(t4)218]dt. (please provide answer as a numerical response.)Answer for Question 8You entered:PreviewHelpYour AnswerScoreExplanation

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