Answers to Test 2 Review Questions 1.
Answers to Test 2 Review Questions
1. (a) (b)
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(c) ![]()
(d) ![]()
(e) ![]()
(f) (g)
(h)
(i)
(j) (k) y = (cos x)2x
(l)
(m) y’ = (n) y’ = 3e2x(5sec2 5x + 2tan 5x) (I factored to simplify)
2. (a) ![]()
(b) ![]()
(g)
(h) ![]()
(l)
(m) ![]()
3. (a) 16 (b) 120 (c) 20 (d) 8 (e) -20/243
(f) 26/9 (g) 12 (h) undefined
4. (a) (b)
5
Derivative is:
The derivative does exist at
x =1 because whether you go toward 1 from the left or the right, both “pieces” of the derivative function get close to 3.
.
6. and
7.
8. At units per second
9. 7/50 rad/min
10. 533.33 ft/min or 1600/3 ft/min