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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Question
![1 Determine the following integrals:
1.1.1
(
(cos2x+ sin x) dx
.1.2
√√√x+²+2x+1
dx
2
1.1.3
6₁ (~²(³x) + ² + 1)]dx
X
4.<
A cyclist pedals along a straight road with velocity v(t) = 2t² - 8t+6 km/h, for 3 hours.
The velocity, v(t), is measured in km/h and the time, t, in hours.
1.2.1 Sketch the velocity function over the 3 hours. When does the cyclist
move in a positive direction and when in a negative direction?
1.2.2 Use integration to find the total distance the cyclist traveled.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdeca8712-9d12-4380-995c-a5d5a5f3bb1c%2F0ffccf8f-e368-4c27-b0c6-73623a19b9da%2Fd85hhrg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1 Determine the following integrals:
1.1.1
(
(cos2x+ sin x) dx
.1.2
√√√x+²+2x+1
dx
2
1.1.3
6₁ (~²(³x) + ² + 1)]dx
X
4.<
A cyclist pedals along a straight road with velocity v(t) = 2t² - 8t+6 km/h, for 3 hours.
The velocity, v(t), is measured in km/h and the time, t, in hours.
1.2.1 Sketch the velocity function over the 3 hours. When does the cyclist
move in a positive direction and when in a negative direction?
1.2.2 Use integration to find the total distance the cyclist traveled.
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