calculus homework 20 problems, multiple choice just need letter answers
qppottet
math116q04cq.pdf
M15 Homework, make-up for Michael P. Potter Due: by 11:59PM, Thursday, June 18, 2015
Homework, make-up for Michael P. Potter #3 of week #4 Instructor: X. Li, MO 438
Maximum time allowed: 1 hour. Please choose the answer most appropriate to the question and select the letter corresponding to
your answer on Blackboard. The grade for each question will either be full credit or zero. No partial credit will be given. Each problem is worth 10 points.
If you ever choose “(e)” as your answer, you do need to email me your actual answer within the same time period this Homework, make-up for Michael P. Potter is being completed.
(1) Find the derivative f′(x) where f(x) = (2x − 1)(3x2 + 5). (a) 12x ; (b) 12x + 2; (c) 18x2 − 6x + 10 ; (d) All of the above ; (e) None of the above. I’ll email you my answer.
(2) Find the derivative g′(t) where g(t) = t t2+1
.
(a) −t 2−t+1
(t2+1)2 ;
(b) −t 2+1
(t2+1)2 ;
(c) 3t 2+1
(t2+1)2 ;
(d) All of the above ; (e) None of the above. I’ll email you my answer.
(3) Find the derivative h′(s) where h(s) = s 3+6√ s .
(a) 3s2
√ s
s ;
(b) 3s 2
(1/2)s−1/2 ;
(c) 5 2 s3/2 − 3s−3/2 ;
(d) All of the above ; (e) None of the above. I’ll email you my answer.
(4) Find an equation of tangent to the graph of function h(x) = x 2
x+1 at point (1, 1/2).
(a) y − 1 2 = 3
4 (x − 1) ;
(b) y + 1 2 = 3
4 (x + 1) ;
(c) y − 1 2 = 5
4 (x − 1);
(d) All of the above ; (e) None of the above. I’ll email you my answer.
(5) The total worldwide box-office receipts for a long-running movie are approximated by the function
T(x) = 110x 2
x2+4 where T(x) is measured in millions of dollars and x is the number of years since the movie’s
release. How fast are the total receipts changing three year after its release? (a) $85.92 millions/year ; (b) $15.62 millions/year ; (c) $110 millions/year; (d) All of the above ; (e) None of the above. I’ll email you my answer.
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