7. If y = (x³ - cos x), then y' = (A) 5(x³ - cos .x)* (B) 5(3x² + sin x) (C) 5(3x² + sin x) (D) 5(3x² + sin x) (6x + cos x) (E) 5(x³ - cos x)* . (3x² + sin x)
7. If y = (x³ - cos x), then y' = (A) 5(x³ - cos .x)* (B) 5(3x² + sin x) (C) 5(3x² + sin x) (D) 5(3x² + sin x) (6x + cos x) (E) 5(x³ - cos x)* . (3x² + sin x)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:10:11 AM Mon Dec 5
7. If y - cos x)³, then y'=
(A) 5(x³ - - cos
cos x)*
A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
(B) 5(3x²+ sin.
sin x)
(C) 5(3x² + sin x)
(D) 5(3x² + sin x)
(E) 5(x³ - cos x)
(6x + cos x)
(3x² + sin
nx)
Unauthorized copying or reuse of
...
apcentral.collegeboard.org
t (hours)
R(1)
(liters/hour)
4
6.5
7
6.2
12
5.9
15
5.6
62%
8. A tank contains 50 liters of oil at time t = 4 hours. Oil is being pumped into the tank at a rate R(t), where R(t)
is measured in liters per hour, and t is measured in hours. Selected values of R(1) are given in the table above.
Using a right Riemann sum with three subintervals and data from the table, what is the approximation of the
number of liters of oil that are in the tank at time t = 15 hours?
(A) 64.9
(B) 68.2
(C) 114.9
(D) 116.6
(E) 118.2
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