Let the distance in feet that a car travels in t seconds be given by d(t) = 8t for 0 sts6. a. Find d(t + h). b. Find the difference quotient of d and simplify. c. Evaluate the difference quotient when t= 2 and h 0.05. Interpret your result. a. d(t+h) = (Simplify your answer.) b. The difference quotient of d(t) = 8t is (Simplify your answer.) c. Evaluate the difference quotient whent32 and h = 0.05. Interpret your result. Choose the correct answer from A. 32.4, the average speed of the car from 2 to 2.5 sec is 32.4 ft/sec B. 36, the average speed of the car from 2 to 2.5 sec is 36 ft/sec C. 36, the average speed of the car from 2 to 2.05 sec is 36 ft/sec D. 32.4, the average speed of the car from 2 to 2.05 sec is 32.4 ft/sec

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Let the distance in feet that a car travels in t seconds be given by d(t) = 8t for 0 sts6.
a. Find d(t+ h).
b. Find the difference quotient of d and simplify.
c. Evaluate the difference quotient when t= 2 and h = 0.05. Interpret your result.
a. d(t+h) =(Simplify your answer.)
b. The difference quotient of d(t) = 8t is
(Simplify your answer.)
c. Evaluate the difference quotient whent32 and h = 0.05. Interpret your result. Choose the correct answer from below.
A. 32.4, the average speed of the car from 2 to 2.5 sec is 32.4 ft/sec
B. 36, the average speed of the car from 2 to 2.5 sec is 36 ft/sec
C. 36, the average speed of the car from 2 to 2.05 sec is 36 ft/sec
D. 32.4, the average speed of the car from 2 to 2.05 sec is 32.4 ft/sec
.OOO
Transcribed Image Text:Let the distance in feet that a car travels in t seconds be given by d(t) = 8t for 0 sts6. a. Find d(t+ h). b. Find the difference quotient of d and simplify. c. Evaluate the difference quotient when t= 2 and h = 0.05. Interpret your result. a. d(t+h) =(Simplify your answer.) b. The difference quotient of d(t) = 8t is (Simplify your answer.) c. Evaluate the difference quotient whent32 and h = 0.05. Interpret your result. Choose the correct answer from below. A. 32.4, the average speed of the car from 2 to 2.5 sec is 32.4 ft/sec B. 36, the average speed of the car from 2 to 2.5 sec is 36 ft/sec C. 36, the average speed of the car from 2 to 2.05 sec is 36 ft/sec D. 32.4, the average speed of the car from 2 to 2.05 sec is 32.4 ft/sec .OOO
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