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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How do I do number 5
![3. f(x)= Ji-1
1. Find a function f and a number a such that
f(t)
-dt = 2/ for all x > 0
t2
6+
Evaluate the following derivatives.
2. S(z) = ["
f(r)= J.
t³ Vt + 1dt
r1+z 13 +t - 1
dt
t2 + 1
Evaluate the following integrals. (You may use FTC now!)
4.
(4 – x)/rdx
5.
x(2x? + 5)70dx
6.
5x cos(x²)dx
/4
7.
-n/4
T (2³ + a® tan(x))dx
[Hint: Look at the interval which we are integrating over]
8. Find the area between the curves y = cos(x) and y = 1 – cos(x) on the interval [-T, 7].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40a9514d-d7ca-4467-8320-3b6e9b54f257%2Fcdd8047f-0be5-4bc4-861a-67910aa2169e%2F7x084lf_processed.png&w=3840&q=75)
Transcribed Image Text:3. f(x)= Ji-1
1. Find a function f and a number a such that
f(t)
-dt = 2/ for all x > 0
t2
6+
Evaluate the following derivatives.
2. S(z) = ["
f(r)= J.
t³ Vt + 1dt
r1+z 13 +t - 1
dt
t2 + 1
Evaluate the following integrals. (You may use FTC now!)
4.
(4 – x)/rdx
5.
x(2x? + 5)70dx
6.
5x cos(x²)dx
/4
7.
-n/4
T (2³ + a® tan(x))dx
[Hint: Look at the interval which we are integrating over]
8. Find the area between the curves y = cos(x) and y = 1 – cos(x) on the interval [-T, 7].
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