Middle Tennessee State University respect to x worksheet Solve the problems step by step. Pleas show your work. There is no more requirements. Name Math 16

Middle Tennessee State University respect to x worksheet Solve the problems step by step. Pleas show your work. There is no more requirements. Name
Math 160
Summer 2020
Homework Set 4
Show all work!
1. Use logarithmic di erentiation to nd y if y = (x3 + 4x)3 (x2 + 4x + 4)4 .
0
2. If a snowball melts so that its surface area decreases at a rate of 2 cm2 /min, nd the rate at
which the radius decreases when the radius is 10 cm. Hint: S = 4r2
1

3. Find the linearization of f (x) = tan x at a = .
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4. Find the absolute maximum and minimum values of the function f (x) = x4
interval [1; 3].
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8×2
4 on the
5. Verify that the function f (x) = x3 6x +1 satis es the hypotheses of the Mean Value Theorem
f (b) f (a)
on the interval [ 2; 2]. Then nd all numbers c for which f (c) =
.
b a
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3

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