ALEKS 360 AC PRECALC
ALEKS 360 AC PRECALC
1st Edition
ISBN: 9781264665037
Author: Miller
Publisher: MCG CUSTOM
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Chapter 3.5, Problem 70PE

For Exercises 61-70, use the model A = P e r t  or  A = P 1 + r n n t , where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. (See Example 11)

Victor puts aside $10,000 in an account with interest compounded continuously at 2.7 % . How long will it take for him to earn $2000 ? Round to the nearest month.

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1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t + 4t²)j from the point (1, 1) to the origin.
2. Consider the vector force: F(x, y, z) = 2xye²i + (x²e² + y)j + (x²ye² — z)k. (A) [80%] Show that F satisfies the conditions for a conservative vector field, and find a potential function (x, y, z) for F. Remark: To find o, you must use the method explained in the lecture. (B) [20%] Use the Fundamental Theorem for Line Integrals to compute the work done by F on an object moves along any path from (0,1,2) to (2, 1, -8).
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