Pearson eText University Calculus: Early Transcendentals -- Instant Access (Pearson+)
4th Edition
ISBN: 9780136880912
Author: Joel Hass, Christopher Heil
Publisher: PEARSON+
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Chapter 8.4, Problem 27E
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Chapter 8 Solutions
Pearson eText University Calculus: Early Transcendentals -- Instant Access (Pearson+)
Ch. 8.1 - Evaluate the integrals in Exercises 124 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 124 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 124 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 124 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...
Ch. 8.1 - Evaluate the integrals in Exercises 124 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Evaluate the integrals in Exercises 1–24 using...Ch. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Evaluate the integrals in Exercises 25-30 by using...Ch. 8.1 - Prob. 28ECh. 8.1 - Evaluate the integrals in Exercises 25-30 by using...Ch. 8.1 - Evaluate the integrals in Exercises 25-30 by using...Ch. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Evaluate the integrals in Exercises 31–56. Some...Ch. 8.1 - Evaluate the integrals in Exercises 31–56. Some...Ch. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - Evaluate the integrals in Exercises 31–56. Some...Ch. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Evaluate the integrals in Exercises 31–56. Some...Ch. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.1 - Prob. 59ECh. 8.1 - Prob. 60ECh. 8.1 - Prob. 61ECh. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.1 - Prob. 67ECh. 8.1 - Prob. 68ECh. 8.1 - Prob. 69ECh. 8.1 - Prob. 70ECh. 8.1 - Prob. 71ECh. 8.1 - Prob. 72ECh. 8.1 - Prob. 73ECh. 8.1 - Prob. 74ECh. 8.1 - Prob. 75ECh. 8.1 - Prob. 76ECh. 8.1 - Prob. 77ECh. 8.1 - Prob. 78ECh. 8.1 - Prob. 79ECh. 8.1 - Use the formula
to evaluate the integrals in...Ch. 8.1 - Prob. 81ECh. 8.1 - Prob. 82ECh. 8.1 - Prob. 83ECh. 8.1 - Prob. 84ECh. 8.2 - Evaluate the integrals in Exercise 1–22.
1.
Ch. 8.2 - Prob. 2ECh. 8.2 - Evaluate the integrals in Exercise 122. 3....Ch. 8.2 - Evaluate the integrals in Exercise 1–22.
4.
Ch. 8.2 - Evaluate the integrals in Exercise 1–22.
5.
Ch. 8.2 - Evaluate the integrals in Exercise 1–22.
6.
Ch. 8.2 - Evaluate the integrals in Exercise 122. 7. sin5xdxCh. 8.2 - Evaluate the integrals in Exercise 1–22.
8.
Ch. 8.2 - Evaluate the integrals in Exercise 1–22.
9.
Ch. 8.2 - Evaluate the integrals in Exercise 1–22.
10.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
11.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
12.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
13.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
14.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
15.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
16.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
17.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
18.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
19.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
20.
Ch. 8.2 - Evaluate the integrals in Exercises 1–22.
21.
Ch. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Evaluate the integrals in Exercises 23–32.
31.
Ch. 8.2 - Prob. 32ECh. 8.2 - Evaluate the integrals in Exercises 33–52.
33.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
34.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
35.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
36.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
37.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
38.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
39.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
40.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
41.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
42.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
43.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
44.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
45.
Ch. 8.2 - Evaluate the integrals in Exercises 33–52.
46.
Ch. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.2 - Prob. 61ECh. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - Prob. 64ECh. 8.2 - Prob. 65ECh. 8.2 - Prob. 66ECh. 8.2 - Prob. 67ECh. 8.2 - Prob. 68ECh. 8.2 - Prob. 69ECh. 8.2 - Prob. 70ECh. 8.2 -
Arc length Find the length of the curve
y = ln...Ch. 8.2 - Prob. 72ECh. 8.2 - Prob. 73ECh. 8.2 - Prob. 74ECh. 8.2 - Prob. 75ECh. 8.2 - Volume Find the volume of the solid formed by...Ch. 8.2 - Prob. 77ECh. 8.2 - Prob. 78ECh. 8.3 - Evaluate the integrals in Exercises 1–14.
1.
Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
2.
Ch. 8.3 - Evaluate the integrals in Exercises 114. 3....Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
4.
Ch. 8.3 - Evaluate the integrals in Exercises 114. 5....Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
6.
Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
7.
Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
8.
Ch. 8.3 - Evaluate the integrals in Exercises 114. 9....Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
10.
Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
11. , y...Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
12. , y...Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
13. , x...Ch. 8.3 - Evaluate the integrals in Exercises 1–14.
14. , x...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Prob. 22ECh. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Prob. 28ECh. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Prob. 32ECh. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Prob. 34ECh. 8.3 - Use any method to evaluate the integrals in...Ch. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - For Exercises 49–52, complete the square before...Ch. 8.3 - Prob. 50ECh. 8.3 - For Exercises 49–52, complete the square before...Ch. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - Prob. 54ECh. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.4 - Expand the quotients in Exercises 1-8 by partial...Ch. 8.4 - Expand the quotients in Exercises 1−8 by partial...Ch. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - In Exercises 916, express the integrand as a sum...Ch. 8.4 - In Exercises 9–16, express the integrand as a sum...Ch. 8.4 - In Exercises 9–16, express the integrand as a sum...Ch. 8.4 - In Exercises 9–16, express the integrand as a sum...Ch. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - In Exercises 9–16, express the integrand as a sum...Ch. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - In Exercises 17–20, express the integrand as a sum...Ch. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - In Exercises 21-32, express the integrand as a sum...Ch. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - In Exercises 21-32, express the integrand as a sum...Ch. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - In Exercises 21-32, express the integrand as a sum...Ch. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - In Exercises 21-32, express the integrand as a sum...Ch. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - In Exercises 33−38, perform long division on the...Ch. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Evaluate the integrals in Exercises 39–54.
52.
Ch. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 58ECh. 8.4 - Prob. 59ECh. 8.4 - Prob. 60ECh. 8.4 - Prob. 61ECh. 8.4 - Prob. 62ECh. 8.4 - Prob. 63ECh. 8.4 - Prob. 64ECh. 8.4 - Prob. 65ECh. 8.4 - Prob. 66ECh. 8.4 - Prob. 67ECh. 8.4 - Prob. 68ECh. 8.4 - Prob. 69ECh. 8.4 - Prob. 70ECh. 8.4 - Prob. 71ECh. 8.4 - Prob. 72ECh. 8.4 - Prob. 73ECh. 8.4 - Prob. 74ECh. 8.4 - Prob. 75ECh. 8.4 - Prob. 76ECh. 8.4 - Prob. 77ECh. 8.4 - Prob. 78ECh. 8.5 - Use the table of integrals at the back of the text...Ch. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Prob. 30ECh. 8.5 - Prob. 31ECh. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Prob. 35ECh. 8.5 - Prob. 36ECh. 8.5 - Prob. 37ECh. 8.5 - Prob. 38ECh. 8.5 - Prob. 39ECh. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Use reduction formulas to evaluate the integrals...Ch. 8.5 - Prob. 46ECh. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - Prob. 55ECh. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8.5 - Prob. 58ECh. 8.5 - Prob. 59ECh. 8.5 - Prob. 60ECh. 8.5 - Prob. 61ECh. 8.5 - Prob. 62ECh. 8.5 - Prob. 63ECh. 8.5 - Prob. 64ECh. 8.6 - The instructions for the integrals in Exercises...Ch. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - The instructions for the integrals in Exercises...Ch. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - Prob. 9ECh. 8.6 - Prob. 10ECh. 8.6 - In Exercises 11–22, estimate the minimum number of...Ch. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - In Exercises 11–22, estimate the minimum number of...Ch. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Prob. 25ECh. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - The error function The error function,
which is...Ch. 8.6 - Prob. 29ECh. 8.6 - Prob. 30ECh. 8.6 - Elliptic integrals The length of the...Ch. 8.6 - Prob. 32ECh. 8.6 - Prob. 33ECh. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.6 - Prob. 37ECh. 8.6 - Prob. 38ECh. 8.6 - Prob. 39ECh. 8.6 - Prob. 40ECh. 8.7 - The integrals in Exercises 1-34 converge. Evaluate...Ch. 8.7 - Prob. 2ECh. 8.7 - Prob. 3ECh. 8.7 - Prob. 4ECh. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.7 - Prob. 7ECh. 8.7 - Prob. 8ECh. 8.7 - Prob. 9ECh. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Prob. 12ECh. 8.7 - Prob. 13ECh. 8.7 - Prob. 14ECh. 8.7 - Prob. 15ECh. 8.7 - Prob. 16ECh. 8.7 - Prob. 17ECh. 8.7 - Prob. 18ECh. 8.7 - Prob. 19ECh. 8.7 - Prob. 20ECh. 8.7 - Prob. 21ECh. 8.7 - Prob. 22ECh. 8.7 - Prob. 23ECh. 8.7 - Prob. 24ECh. 8.7 - Prob. 25ECh. 8.7 - Prob. 26ECh. 8.7 - Prob. 27ECh. 8.7 - Prob. 28ECh. 8.7 - Prob. 29ECh. 8.7 - The integrals in Exercises 1-34 converge. Evaluate...Ch. 8.7 - Prob. 31ECh. 8.7 - Prob. 32ECh. 8.7 - Prob. 33ECh. 8.7 - Prob. 34ECh. 8.7 - In Exercises 35–68, use integration, the Direct...Ch. 8.7 - Prob. 36ECh. 8.7 - Prob. 37ECh. 8.7 - Prob. 38ECh. 8.7 - Prob. 39ECh. 8.7 - Prob. 40ECh. 8.7 - Prob. 41ECh. 8.7 - Prob. 42ECh. 8.7 - Prob. 43ECh. 8.7 - Prob. 44ECh. 8.7 - Prob. 45ECh. 8.7 - Prob. 46ECh. 8.7 - Prob. 47ECh. 8.7 - Prob. 48ECh. 8.7 - Prob. 49ECh. 8.7 - Prob. 50ECh. 8.7 - Prob. 51ECh. 8.7 - Prob. 52ECh. 8.7 - Prob. 53ECh. 8.7 - Prob. 54ECh. 8.7 - Prob. 55ECh. 8.7 - Prob. 56ECh. 8.7 - Prob. 57ECh. 8.7 - Prob. 58ECh. 8.7 - Prob. 59ECh. 8.7 - In Exercises 35–68, use integration, the Direct...Ch. 8.7 - Prob. 61ECh. 8.7 - Prob. 62ECh. 8.7 - Prob. 63ECh. 8.7 - Prob. 64ECh. 8.7 - Prob. 65ECh. 8.7 - Prob. 66ECh. 8.7 - Prob. 67ECh. 8.7 - Prob. 68ECh. 8.7 - Prob. 69ECh. 8.7 - Prob. 70ECh. 8.7 - Prob. 71ECh. 8.7 - Prob. 72ECh. 8.7 - Prob. 73ECh. 8.7 - Prob. 74ECh. 8.7 - Prob. 75ECh. 8.7 - Prob. 76ECh. 8.7 - Prob. 77ECh. 8.7 - Prob. 78ECh. 8.7 - Prob. 79ECh. 8.7 - Prob. 80ECh. 8.7 - Prob. 81ECh. 8.7 - Prob. 82ECh. 8.7 - Prob. 83ECh. 8.7 - Prob. 84ECh. 8.7 - Prob. 85ECh. 8.7 - Prob. 86ECh. 8 - Prob. 1GYRCh. 8 - Prob. 2GYRCh. 8 - Prob. 3GYRCh. 8 - Prob. 4GYRCh. 8 - Prob. 5GYRCh. 8 - Prob. 6GYRCh. 8 - Prob. 7GYRCh. 8 - Prob. 8GYRCh. 8 - Prob. 9GYRCh. 8 - Prob. 10GYRCh. 8 - Prob. 11GYRCh. 8 - Prob. 12GYRCh. 8 - Prob. 13GYRCh. 8 - Prob. 1PECh. 8 - Prob. 2PECh. 8 - Prob. 3PECh. 8 - Prob. 4PECh. 8 - Prob. 5PECh. 8 - Prob. 6PECh. 8 - Prob. 7PECh. 8 - Prob. 8PECh. 8 - Prob. 9PECh. 8 - Prob. 10PECh. 8 - Prob. 11PECh. 8 - Prob. 12PECh. 8 - Prob. 13PECh. 8 - Prob. 14PECh. 8 - Prob. 15PECh. 8 - Prob. 16PECh. 8 - Prob. 17PECh. 8 - Prob. 18PECh. 8 - Prob. 19PECh. 8 - Prob. 20PECh. 8 - Prob. 21PECh. 8 - Prob. 22PECh. 8 - Prob. 23PECh. 8 - Prob. 24PECh. 8 - Prob. 25PECh. 8 - Prob. 26PECh. 8 - Prob. 27PECh. 8 - Prob. 28PECh. 8 - Prob. 29PECh. 8 - Prob. 30PECh. 8 - Prob. 31PECh. 8 - Prob. 32PECh. 8 - Prob. 33PECh. 8 - Prob. 34PECh. 8 - Prob. 35PECh. 8 - Prob. 36PECh. 8 - Prob. 37PECh. 8 - Prob. 38PECh. 8 - Prob. 39PECh. 8 - Prob. 40PECh. 8 - Prob. 41PECh. 8 - Prob. 42PECh. 8 - Prob. 43PECh. 8 - Prob. 44PECh. 8 - Prob. 45PECh. 8 - Prob. 46PECh. 8 - Prob. 47PECh. 8 - Prob. 48PECh. 8 - Prob. 49PECh. 8 - Prob. 50PECh. 8 - Prob. 51PECh. 8 - Prob. 52PECh. 8 - Prob. 53PECh. 8 - Prob. 54PECh. 8 - Prob. 55PECh. 8 - Prob. 56PECh. 8 - Prob. 57PECh. 8 - Prob. 58PECh. 8 - Prob. 59PECh. 8 - Prob. 60PECh. 8 - Prob. 61PECh. 8 - Prob. 62PECh. 8 - Prob. 63PECh. 8 - Prob. 64PECh. 8 - Prob. 65PECh. 8 - Prob. 66PECh. 8 - Prob. 67PECh. 8 - Prob. 68PECh. 8 - Prob. 69PECh. 8 - Prob. 70PECh. 8 - Prob. 71PECh. 8 - Prob. 72PECh. 8 - Prob. 73PECh. 8 - Prob. 74PECh. 8 - Prob. 75PECh. 8 - Prob. 76PECh. 8 - Prob. 77PECh. 8 - Prob. 78PECh. 8 - Prob. 79PECh. 8 - Prob. 80PECh. 8 - Prob. 81PECh. 8 - Prob. 82PECh. 8 - Prob. 83PECh. 8 - Prob. 84PECh. 8 - Prob. 85PECh. 8 - Prob. 86PECh. 8 - Prob. 87PECh. 8 - Prob. 88PECh. 8 - Prob. 89PECh. 8 - Prob. 90PECh. 8 - Prob. 91PECh. 8 - Prob. 92PECh. 8 - Prob. 93PECh. 8 - Prob. 94PECh. 8 - Prob. 95PECh. 8 - Prob. 96PECh. 8 - Prob. 97PECh. 8 - Prob. 98PECh. 8 - Prob. 99PECh. 8 - Prob. 100PECh. 8 - Prob. 101PECh. 8 - Prob. 102PECh. 8 - Prob. 103PECh. 8 - Prob. 104PECh. 8 - Prob. 105PECh. 8 - Prob. 106PECh. 8 - Prob. 107PECh. 8 - Prob. 108PECh. 8 - Prob. 109PECh. 8 - Prob. 110PECh. 8 - Prob. 111PECh. 8 - Prob. 112PECh. 8 - Prob. 113PECh. 8 - Prob. 114PECh. 8 - Prob. 115PECh. 8 - Prob. 116PECh. 8 - Prob. 117PECh. 8 - Prob. 118PECh. 8 - Prob. 119PECh. 8 - Prob. 120PECh. 8 - Prob. 121PECh. 8 - Prob. 122PECh. 8 - Prob. 123PECh. 8 - Prob. 124PECh. 8 - Prob. 125PECh. 8 - Prob. 126PECh. 8 - Prob. 127PECh. 8 - Prob. 128PECh. 8 - Prob. 129PECh. 8 - Prob. 130PECh. 8 - Prob. 131PECh. 8 - Prob. 132PECh. 8 - Prob. 133PECh. 8 - Prob. 134PECh. 8 - Prob. 135PECh. 8 - Prob. 1AAECh. 8 - Prob. 2AAECh. 8 - Prob. 3AAECh. 8 - Prob. 4AAECh. 8 - Prob. 5AAECh. 8 - Prob. 6AAECh. 8 - Prob. 7AAECh. 8 - Prob. 8AAECh. 8 - Prob. 9AAECh. 8 - Prob. 10AAECh. 8 - Prob. 11AAECh. 8 - Prob. 12AAECh. 8 - Prob. 13AAECh. 8 - Prob. 14AAECh. 8 - Prob. 15AAECh. 8 - Prob. 16AAECh. 8 - Prob. 17AAECh. 8 - Prob. 18AAECh. 8 - Prob. 19AAECh. 8 - Prob. 20AAECh. 8 - Prob. 21AAECh. 8 - Prob. 22AAECh. 8 - Prob. 23AAECh. 8 - Prob. 24AAECh. 8 - Prob. 25AAECh. 8 - Prob. 26AAECh. 8 - Prob. 27AAECh. 8 - Prob. 28AAECh. 8 - Prob. 29AAECh. 8 - Prob. 30AAECh. 8 - Prob. 31AAECh. 8 - Prob. 32AAECh. 8 - Prob. 33AAECh. 8 - Prob. 34AAE
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- (4,4) M -4 2 2 -4 (-4,-4) 4 8 10 12 (8,-4) (12,-4) Graph of f The figure shows the graph of a piecewise-linear function f. For −4≤x≤12, the function g is x defined by g(x) = √ƒ (t)dt . . Find the value of g(6). Find the value of g'(6). |arrow_forwardPREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. f'(x) = X x + √3x f(x) = 3x-5 (3√√3x+11√√x+5√3 2√√x (3x-5)² Need Help? Read It SUBMIT ANSWERarrow_forwardPREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE A Find the derivative of the function and evaluate f'(x) at the given val f(x) = (√√√x + 3x) (x3/2 - x); x = 1 f'(x) = 9x 412 (12x (13) 2 - 4x-3√√√x f'(1) = 2 Need Help? Read It Watch It SUBMIT ANSWERarrow_forward
- Consider the following functions. g(x) = x + √3x h(x) = 3x-5 x + √3x f(x) = = 3x-5 Find the derivative of each function. g'(x) h'(x) = = f'(x) = 3 = +1 2√3x 3 (3√3x + 10√√x +5√√√3 2√√x (3x-5)² Need Help? Read It SUBMIT ANSWERarrow_forward"Solve the following differential equation using the Operator Method and the Determinant Method:" y'''' + 3y'"' + 3y'' + y = xarrow_forwardpractice for exam please helparrow_forward
- Fig. 4.22. Problems 4.1 (A). Determine the second moments of area about the axes XX for the sections shown in Fig. 4.23. [15.69, 7.88, 41.15, 24; all x 10-6 m. All dimensions in mm IAA inn 100 25 50 25 50 80 50 50 Fig. 4.23. X 80 60arrow_forward4.3 (A). A conveyor beam has the cross-section shown in Fig. 4.24 and it is subjected to a bending moment in the plane YY. Determine the maximum permissible bending moment which can be applied to the beam (a) for bottom flange in tension, and (b) for bottom flange in compression, if the safe stresses for the material in tension and compression are 30 MN/m² and 150 MN/m² respectively. Y [32.3, 84.8 kNm.] 150 100 50 -25 +50-50-50-50- All dimensions in mmarrow_forward"Find the values of V1, V2, and V3 by solving the following differential equation system:" 1 L1 1 X - X x 2 - 2x x2 x3 x² - 4x + 2] M Larrow_forward
- 1. Consider the function f(x) whose graph is given below. Use the graph to determine the following: 2 a) All x for which f'(x) is positive. b) All x for which f'(x) is negative. 2 -2 c) The x for which f'(x) is zero. (please depict this on the graph)arrow_forward4. Suppose that the population of a certain collection of rare Brazilian ants is given by P(t)=(t+100) In(t+2), Where t represents the time in days. Find and interpret the rates of change of the population on the third day and on the tenth day.arrow_forwardFind all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal. 5. Find the slope of the tangent line to the graph of f(x)=-√8x+1 at x=1. Write the equation of the tangent line.arrow_forward
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