math test - Math 172: Second Semester Calculus Spring...

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Unformatted text preview: Math 172: Second Semester Calculus Spring Semester, 2004 Final Exam Name: Section: ID Number: Instructions: Work must be shown to receive credit. No calculators. Question 1. (10 points) Solve the differential equation subject to the initial condition y(2) = 1. # 1 2 3 4 5 6 7 8 9 10 SubTotal worth 10 30 10 8 10 10 20 10 10 8 126 score # 11 12 13 14 15 16 SubTotal Grand Total worth 24 10 10 10 10 10 74 200 score dy dx = x y 2 Question 2. (10 points each) Evaluate the following integrals. (A) & x e x dx (B) & sin 3 x cos 12 x dx (C) & 1 dx (1 – x 2 ) 3/2 1 Question 3. (10 points) Determine whether the following integral converges or diverges. If it converges, determine its value. & Question 4. (8 points) A curve is described by the parametric equations x(t) = t + cos t; y(t) = 1 + sin t; where t ranges over the real numbers. Find the slope of the tangent line to this curve when t = ¡ ....
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This note was uploaded on 05/04/2008 for the course MATH 125 taught by Professor Chen during the Spring '08 term at University of Washington.

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math test - Math 172: Second Semester Calculus Spring...

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