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MATH 1B—SOLUTION SET FOR. CHAPTERS 17.1 (#2), 17.2 (#1). Problem 17.1.21. Solve the initial-value problem y + 16y = 0,y(π/4) = −3,y (π. 4) = 4. Solution.

MATH 1B—SOLUTION SET FOR CHAPTERS 11.12, 9.1, 9.2. Problem 11.12.25. Use Taylor's Inequality to determine the number of terms of the Maclaurin series ...

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19 Oct 2009 – Quiz 6. 19 October 2009. 1. Let f(x, y) = √. 3x2 − y. Find the directional derivative of f at the point (4, −1) in the direction of the vector a = 3i + 4j.

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HW 8 Solution, MATH 365. Fall 2008. Kaplan p. 186 #2.22 Each part (a) to (e) really has two questions to address. See also p. 93 in the solution manual.

Math 181, Final Exam, Fall 2008. Problem 6 Solution. 6. Consider the region bounded by the curves y = x2, y = 2 − x, and x = 0 for x ≥ 0. (a) Sketch the region.

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Math 181, Exam 2, Fall 2009. Problem 3b Solution. 3b. Find the centroid, (¯x, ¯y), of the region above the x-axis (y ≥ 0), below the graph of y = 4 − x2, and to the ...

Math 180, Exam 1, Spring 2010. Problem 5 Solution. 5. Find and classify the points of discontinuity of the function x2 + 7x + 12 x3. − 9x . Solution: We start by ...

Math 180, Exam 2, Practice Fall 2009. Problem 1 Solution. 1. Differentiate the functions: (do not simplify) f(x) = xln(x2 + 1), f(x) = xe. √x f(x) = arcsin(2x + 1) ...

Math 181, Exam 2, Study Guide. Problem 6 Solution. 6. A fish tank is filled to a height of 1 foot with water which weighs 62.5 pounds per cubic foot. One side is a ...

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Math 181, Exam 2, Study Guide 2. Problem 6 Solution. 6. (a) Estimate ln 3. 2 using the degree two Taylor polynomial for y = ln x around x = 1. (b) Estimate ln 3 ...