MATH 131 Final: MATH 131 UMass Amherst Umass_FinalExam_2015

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turquoisegnu128

31 Jan 2019

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The exam consists of 5 multiple choice questions and 4 long answers. Each problem is worth the indicated number of points. On this exam you may use a page of your own handwritten notes, but no books and no calculators. The last page is left blank for you to use as scrap paper. There are multiple versions of the exam, so please do not try to look on a neighbor"s paper. Turn o and do not attempt to use your cellphone at anytime during the exam. You do not need to justify your answers to the multiple choice questions, but you must show your work in the exam booklet to receive credit for the four long answer problems. Partial credit will be awarded based on your work. Be prepared to show your umass id when you turn in the exam. Circle the correct answer. (5 points each): a function f (x) is continuous everywhere.

Related Questions

Use Stoke's Theorem to evaluate curl F dr where F(x,y,z) = xy i + 2z j + 3y k and C is the curve of intersection of the plane x+z=5 and the cylinder x^2 + y^2 = 9

Solve all please.

INSTRUCTIONS: There are 15 problems on this exam, and each problem is worth 13 points, plus 5 points for writing down an approximate volume of the planet Earth in cubic miles at the bottomleft corner of page 3, for a total possible 200 points. For this exam, you are allowed to use one 8.5"X11" sheet of notes (both sides, in your own handwriting), pencil, eraser, ruler, scratch paper and calculator. Even though the questions are multiple-choice, you need to show enough work to justify your answer in order to receive full credit. After you have determined the correct solution to each problem, write the letter corresponding to your answer in the appropriate space on the right side of the page AND circle your answer. If your answer does not agree with any of the choices, after double-checking your work, choose option E) and prominently mark your answer (box, circle, underline, etc.). Time limit: Two hours. Attach (i.e. staple) any notecard and scratch paper to the rear of this exam paper. Good luck! MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. The northern third of Indiana is a rectangle measuring 96 miles by 132 miles. Thus, let D = [0, 96] times [0,132]. Assuming that the total annual snowfall (in inches), S(x,y), at (x,y) euro D is given by the function S(x,y) = 60e-0.001 (2x + y) with (x,y) euro D, find the average snowfall on D. 51.14 inches 52.06 inches 51.78 inches 52.44 inches Evaluate the work done between point 1 and point 2 for the conservative field F. Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. Evaluate the surface integral of G over the surface S. S is the portion of the cone Find the flux of the vector field F across the surface S in the indicated direction. Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. Integrate the function f over the given region. f(x,y) = 1/ln x over the region bounded by the x-axis, line x = 9, and curvey y = ln x Reverse the order of integration and then evaluate the integral Use a double integral in polar coordinates to find the area of the region specified in polar coordinates. the region inside both r = 7 sin Theta and r = 7 cos Theta Use spherical coordinates to find the volume of the indicated region. the region bounded above by the sphere x2 + y2 + z2 = 25 and below by the cone z = Find the center of mass of the rectangular solid of density (x,y,z) = xyz defined by 0 LE x LE 8, Use the given transformation to evaluate the integral. where R is the parallelogram bounded by the lines y = 8x + 8, y = 8x +9, y = -6x + 2, y = -6x +7 Evaluate the line integral along the curve C. Find the work done by F over the curve in the direction of increasing t.

Due Week 3 and worth 55 points

Necessary Background

The following project uses the game of Guess Your Card. This is agame in which
each player draws (without looking) three (3) cards. Each card hasa number between 1 and 9 on it. The players then place their cardson their heads so that everyone but the players can see thecards.

The object of the game is to guess what cards you have. The firstperson to do this correctly wins.

During the play, each player, in turn, draws a question at randomfrom a stack of questions. The player then answers the questionbased on the cards that he /she sees (not the player%u2019s cards,which the player cannot see).

Write a one to three (1-3) page paper in which you:

Summarize the salient facts of the problem.
Explain your strategy for solving the problem.
Present a step-by-step solution of the problem.
Clearly state your answer.

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MATH 131 Final: MATH 131 UMass Amherst Umass_FinalExam_2015

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