Math 152–Spring 2016
1 of 2
Quiz 9
Section 10.7
Directions: You may not use your class notes, calculator, cell phone or any other electronic devices. You
must show all your work to receive credit. Your grade will be determined not only by your final answer, but
also the correctness of your work.
Name:
Section Number:
1. Find the Maclaurin Series for f (x) = 5x3 sin (−3x2 ). (Hint: You may use a known Maclaurin Series.)
2. Find f
(15)
th
(−5), the 15
∞
X
(−1)n (x + 5)n
.
derivative of f (x) at x = −5, if f (x) =
2n+1 (3n)!
n=0
1
Math 152–Spring 2016
3. Find the Taylor Series for f (x) =
formula if possible).
2 of 2
−7
x2
at a = 5. (Give your answer using
2
P
notation and simplify the