University Calculus: Early Transcendentals, Books a la Carte Edition (3rd Edition)
3rd Edition
ISBN: 9780321999610
Author: Joel R. Hass, Maurice D. Weir, George B. Thomas Jr.
Publisher: PEARSON
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Chapter 5.1, Problem 2E
(a)
To determine
Determine the area under the graph of the function
(b)
To determine
Determine the area under the graph of the function
(c)
To determine
Determine the area under the graph of the function
(d)
To determine
Determine the area under the graph of the function
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Chapter 5 Solutions
University Calculus: Early Transcendentals, Books a la Carte Edition (3rd Edition)
Ch. 5.1 - In Exercises 1–4, use finite approximations to...Ch. 5.1 - In Exercises 1–4, use finite approximations to...Ch. 5.1 - In Exercises 1–4, use finite approximations to...Ch. 5.1 - In Exercises 1–4, use finite approximations to...Ch. 5.1 - Prob. 5ECh. 5.1 - Using rectangles each of whose height is given by...Ch. 5.1 - Prob. 7ECh. 5.1 - Using rectangles each of whose height is given by...Ch. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
Ch. 5.1 - Length of a road You and a companion are about to...Ch. 5.1 - Prob. 12ECh. 5.1 - Free fall with air resistance An object is dropped...Ch. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - Water pollution Oil is leaking out of a tanker...Ch. 5.1 - Air pollution A power plant generates electricity...Ch. 5.1 - Inscribe a regular n-sided polygon inside a circle...Ch. 5.1 - Prob. 22ECh. 5.2 - Write the sums in Exercises 1–6 without sigma...Ch. 5.2 - Prob. 2ECh. 5.2 - Write the sums in Exercises 1–6 without sigma...Ch. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Which formula is not equivalent to the other...Ch. 5.2 - Prob. 10ECh. 5.2 - Express the sums in Exercises 11–16 in sigma...Ch. 5.2 - Express the sums in Exercises 11–16 in sigma...Ch. 5.2 - Express the sums in Exercises 11–16 in sigma...Ch. 5.2 - Express the sums in Exercises 11–16 in sigma...Ch. 5.2 - Express the sums in Exercises 11–16 in sigma...Ch. 5.2 - Prob. 16ECh. 5.2 - Suppose that and . Find the values of
Ch. 5.2 - Suppose that and . Find the values of
Ch. 5.2 - Evaluate the sums in Exercises 19–36.
Ch. 5.2 - Evaluate the sums in Exercises 19–36.
Ch. 5.2 - Evaluate the sums in Exercises 19–36.
Ch. 5.2 - Evaluate the sums in Exercises 19–36.
Ch. 5.2 - Evaluate the sums in Exercises 19–36.
Ch. 5.2 - Evaluate the sums in Exercises 19–36.
Ch. 5.2 - Evaluate the sums in Exercises 19–36.
Ch. 5.2 - Evaluate the sums in Exercises 19–36.
Ch. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Evaluate the sums in Exercises 19–36.
29.
Ch. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - In Exercises 37–42, graph each function f(x) over...Ch. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - In Exercises 37–42, graph each function f(x) over...Ch. 5.2 - Find the norm of the partition P = {0, 1.2, 1.5,...Ch. 5.2 - Find the norm of the partition P = {−2, −1.6,...Ch. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.3 - Express the limits in Exercises 18 as definite...Ch. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - Prob. 7ECh. 5.3 - Express the limits in Exercises 1–8 as definite...Ch. 5.3 - Suppose that fand gare integrable and that...Ch. 5.3 - Suppose that f and h are integrable and that
, ,...Ch. 5.3 - Suppose that . Find
Ch. 5.3 - Prob. 12ECh. 5.3 - Suppose that f is integrable and that and ....Ch. 5.3 - Suppose that h is integrable and that and ....Ch. 5.3 - In Exercises 15–22, graph the integrands and use...Ch. 5.3 - Prob. 16ECh. 5.3 - In Exercises 15–22, graph the integrands and use...Ch. 5.3 - Prob. 18ECh. 5.3 - In Exercises 15–22, graph the integrands and use...Ch. 5.3 - In Exercises 15–22, graph the integrands and use...Ch. 5.3 - Prob. 21ECh. 5.3 - In Exercises 15–22, graph the integrands and use...Ch. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Use known area formulas to evaluate the integrals...Ch. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Use the rules in Table 5.6 and Equations(2)–(4) to...Ch. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - In Exercises 51–54, use a definite integral to...Ch. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.3 - Prob. 57ECh. 5.3 - In Exercises 55–62, graph the function and find...Ch. 5.3 - Prob. 59ECh. 5.3 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - In Exercises 55–62, graph the function and find...Ch. 5.3 - Prob. 63ECh. 5.3 - Prob. 64ECh. 5.3 - Use the method of Example 4a or Equation (1) to...Ch. 5.3 - Prob. 66ECh. 5.3 - Use the method of Example 4a or Equation (1) to...Ch. 5.3 - Prob. 68ECh. 5.3 - Prob. 69ECh. 5.3 - Prob. 70ECh. 5.3 - Prob. 71ECh. 5.3 - Prob. 72ECh. 5.3 - Prob. 73ECh. 5.3 - Prob. 74ECh. 5.3 - Prob. 75ECh. 5.3 - Prob. 76ECh. 5.3 - Prob. 77ECh. 5.3 - Prob. 78ECh. 5.3 - Prob. 79ECh. 5.3 - Prob. 80ECh. 5.3 - Prob. 81ECh. 5.3 - It would be nice if average values of integrable...Ch. 5.3 - Prob. 83ECh. 5.3 - Prob. 84ECh. 5.3 - Prob. 85ECh. 5.3 - Prob. 86ECh. 5.3 - Prob. 87ECh. 5.3 - Prob. 88ECh. 5.4 - Evaluate the integrals in Exercises 1–34.
1.
Ch. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Evaluate the integrals in Exercises 1–34.
5.
Ch. 5.4 - Prob. 6ECh. 5.4 - Evaluate the integrals in Exercises 134. 7....Ch. 5.4 - Prob. 8ECh. 5.4 - Evaluate the integrals in Exercises 134. 9....Ch. 5.4 - Evaluate the integrals in Exercises 1–34.
10.
Ch. 5.4 - Evaluate the integrals in Exercises 1–34.
11.
Ch. 5.4 - Prob. 12ECh. 5.4 - Evaluate the integrals in Exercises 134. 13....Ch. 5.4 - Evaluate the integrals in Exercises 1–34.
14.
Ch. 5.4 - Evaluate the integrals in Exercises 1–34.
15.
Ch. 5.4 - Evaluate the integrals in Exercises 1–34.
16.
Ch. 5.4 - Evaluate the integrals in Exercises 1–34.
17.
Ch. 5.4 - Prob. 18ECh. 5.4 - Evaluate the integrals in Exercises 134. 19....Ch. 5.4 - Evaluate the integrals in Exercises 1–34.
20.
Ch. 5.4 - Evaluate the integrals in Exercises 134. 21....Ch. 5.4 - Prob. 22ECh. 5.4 - Evaluate the integrals in Exercises 1–34.
23.
Ch. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Evaluate the integrals in Exercises 1–34.
28.
Ch. 5.4 - Evaluate the integrals in Exercises 134. 29....Ch. 5.4 - Prob. 30ECh. 5.4 - Evaluate the integrals in Exercises 1–34.
31.
Ch. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - In Exercises 35–38, guess an antiderivative for...Ch. 5.4 - Find the derivatives in Exercises 39–44.
by...Ch. 5.4 - Find the derivatives in Exercises 3944. by...Ch. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Find the derivatives in Exercises 39–44.
by...Ch. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - Find dy/dx in Exercises 45–56.
46. , x > 0
Ch. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - Prob. 49ECh. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Find dy/dx in Exercises 45–56.
52.
Ch. 5.4 - Prob. 53ECh. 5.4 - Prob. 54ECh. 5.4 - Prob. 55ECh. 5.4 - Prob. 56ECh. 5.4 - In Exercises 5760, find the total area between the...Ch. 5.4 - Prob. 58ECh. 5.4 - In Exercises 57–60, find the total area between...Ch. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - Prob. 63ECh. 5.4 - Prob. 64ECh. 5.4 - Prob. 65ECh. 5.4 - Prob. 66ECh. 5.4 - Prob. 67ECh. 5.4 - Prob. 68ECh. 5.4 - Prob. 69ECh. 5.4 - Prob. 70ECh. 5.4 - Prob. 71ECh. 5.4 - Prob. 72ECh. 5.4 - Prob. 73ECh. 5.4 - Prob. 74ECh. 5.4 - Prob. 75ECh. 5.4 - Prob. 76ECh. 5.4 - Prob. 77ECh. 5.4 - Prob. 78ECh. 5.4 - Prob. 79ECh. 5.4 - Prob. 80ECh. 5.4 - Prob. 81ECh. 5.4 - Prob. 82ECh. 5.4 - Prob. 83ECh. 5.4 - Prob. 84ECh. 5.5 - In Exercises 116, make the given substitutions to...Ch. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - Prob. 4ECh. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - Prob. 12ECh. 5.5 - Prob. 13ECh. 5.5 - Prob. 14ECh. 5.5 - In Exercises 1–16, make the given substitutions to...Ch. 5.5 - Prob. 16ECh. 5.5 - Evaluate the integrals in Exercises 1766. 17....Ch. 5.5 - Evaluate the integrals in Exercises 17–66.
18.
Ch. 5.5 - Evaluate the integrals in Exercises 17–66.
19.
Ch. 5.5 - Prob. 20ECh. 5.5 - Evaluate the integrals in Exercises 1766. 21....Ch. 5.5 - Prob. 22ECh. 5.5 - Evaluate the integrals in Exercises 1766. 23....Ch. 5.5 - Prob. 24ECh. 5.5 - Evaluate the integrals in Exercises 1766. 25....Ch. 5.5 - Evaluate the integrals in Exercises 17–66.
26.
Ch. 5.5 - Evaluate the integrals in Exercises 17–66.
27.
Ch. 5.5 - Prob. 28ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
29.
Ch. 5.5 - Prob. 30ECh. 5.5 - Evaluate the integrals in Exercises 1766. 31....Ch. 5.5 - Prob. 32ECh. 5.5 - Prob. 33ECh. 5.5 - Prob. 34ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
35.
Ch. 5.5 - Prob. 36ECh. 5.5 - Prob. 37ECh. 5.5 - Prob. 38ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
39.
Ch. 5.5 - Prob. 40ECh. 5.5 - Evaluate the integrals in Exercises 1766. 41....Ch. 5.5 - Prob. 42ECh. 5.5 - Evaluate the integrals in Exercises 1766....Ch. 5.5 - Prob. 44ECh. 5.5 - Prob. 45ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
46.
Ch. 5.5 - Prob. 47ECh. 5.5 - Prob. 48ECh. 5.5 - Prob. 49ECh. 5.5 - Prob. 50ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
51.
Ch. 5.5 - Evaluate the integrals in Exercises 17–66.
52.
Ch. 5.5 - Prob. 53ECh. 5.5 - Prob. 54ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
55.
Ch. 5.5 - Prob. 56ECh. 5.5 - Evaluate the integrals in Exercises 17-66.
57.
Ch. 5.5 - Prob. 58ECh. 5.5 - Prob. 59ECh. 5.5 - Prob. 60ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
61.
Ch. 5.5 - Prob. 62ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
63.
Ch. 5.5 - Prob. 64ECh. 5.5 - Evaluate the integrals in Exercises 17–66.
65.
Ch. 5.5 - Prob. 66ECh. 5.5 - If you do not know what substitution to make, try...Ch. 5.5 - Prob. 68ECh. 5.5 - Prob. 69ECh. 5.5 - Prob. 70ECh. 5.5 - Prob. 71ECh. 5.5 - Prob. 72ECh. 5.5 - Solve the initial value problems in Exercises...Ch. 5.5 - Prob. 74ECh. 5.5 - Solve the initial value problems in Exercises...Ch. 5.5 - Prob. 76ECh. 5.5 - Prob. 77ECh. 5.5 - Prob. 78ECh. 5.5 - Prob. 79ECh. 5.5 - Prob. 80ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 3ECh. 5.6 - Prob. 4ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 6ECh. 5.6 - Prob. 7ECh. 5.6 - Prob. 8ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 10ECh. 5.6 - Prob. 11ECh. 5.6 - Prob. 12ECh. 5.6 - Prob. 13ECh. 5.6 - Prob. 14ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 16ECh. 5.6 - Prob. 17ECh. 5.6 - Prob. 18ECh. 5.6 - Prob. 19ECh. 5.6 - Prob. 20ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 22ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 24ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 26ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 28ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 30ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 34ECh. 5.6 - Prob. 35ECh. 5.6 - Prob. 36ECh. 5.6 - Prob. 37ECh. 5.6 - Prob. 38ECh. 5.6 - Use the Substitution Formula in Theorem 7 to...Ch. 5.6 - Prob. 40ECh. 5.6 - Prob. 41ECh. 5.6 - Prob. 42ECh. 5.6 - Prob. 43ECh. 5.6 - Prob. 44ECh. 5.6 - Prob. 45ECh. 5.6 - Prob. 46ECh. 5.6 - Prob. 47ECh. 5.6 - Prob. 48ECh. 5.6 - Prob. 49ECh. 5.6 - Prob. 50ECh. 5.6 - Find the total areas of the shaded regions in...Ch. 5.6 - Prob. 52ECh. 5.6 - Find the total areas of the shaded regions in...Ch. 5.6 - Prob. 54ECh. 5.6 - Find the total areas of the shaded regions in...Ch. 5.6 - Prob. 56ECh. 5.6 - Prob. 57ECh. 5.6 - Find the total areas of the shaded regions in...Ch. 5.6 - Find the total areas of the shaded regions in...Ch. 5.6 - Prob. 60ECh. 5.6 - Prob. 61ECh. 5.6 - Prob. 62ECh. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Prob. 71ECh. 5.6 - Prob. 72ECh. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Prob. 74ECh. 5.6 - Prob. 75ECh. 5.6 - Prob. 76ECh. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Prob. 78ECh. 5.6 - Prob. 79ECh. 5.6 - Prob. 80ECh. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Prob. 83ECh. 5.6 - Prob. 84ECh. 5.6 - Prob. 85ECh. 5.6 - Find the areas of the regions enclosed by the...Ch. 5.6 - Prob. 87ECh. 5.6 - Prob. 88ECh. 5.6 - Prob. 89ECh. 5.6 - Prob. 90ECh. 5.6 - Prob. 91ECh. 5.6 - Prob. 92ECh. 5.6 - Prob. 93ECh. 5.6 - Prob. 94ECh. 5.6 - Prob. 95ECh. 5.6 - Prob. 96ECh. 5.6 - Prob. 97ECh. 5.6 - Prob. 98ECh. 5.6 - Prob. 99ECh. 5.6 - Prob. 100ECh. 5.6 - Prob. 101ECh. 5.6 - Prob. 102ECh. 5.6 - Prob. 103ECh. 5.6 - Prob. 104ECh. 5.6 - Prob. 105ECh. 5.6 - Prob. 106ECh. 5.6 - Prob. 107ECh. 5.6 - Prob. 108ECh. 5.6 - Prob. 109ECh. 5.6 - Prob. 110ECh. 5.6 - Prob. 111ECh. 5.6 - Prob. 112ECh. 5.6 - Prob. 113ECh. 5.6 - Prob. 114ECh. 5.6 - Prob. 115ECh. 5.6 - Prob. 116ECh. 5.6 - Prob. 117ECh. 5.6 - Prob. 118ECh. 5 - How can you sometimes estimate quantities like...Ch. 5 - Prob. 2GYRCh. 5 - Prob. 3GYRCh. 5 - Prob. 4GYRCh. 5 - Prob. 5GYRCh. 5 - Prob. 6GYRCh. 5 - Prob. 7GYRCh. 5 - Prob. 8GYRCh. 5 - Prob. 9GYRCh. 5 - Prob. 10GYRCh. 5 - Prob. 11GYRCh. 5 - Prob. 12GYRCh. 5 - Prob. 13GYRCh. 5 - Prob. 14GYRCh. 5 - Prob. 15GYRCh. 5 - Prob. 16GYRCh. 5 - Prob. 1PECh. 5 - Prob. 2PECh. 5 - Prob. 3PECh. 5 - Prob. 4PECh. 5 - Prob. 5PECh. 5 - Prob. 6PECh. 5 - Prob. 7PECh. 5 - Prob. 8PECh. 5 - Prob. 9PECh. 5 - Prob. 10PECh. 5 - Prob. 11PECh. 5 - Prob. 12PECh. 5 - Prob. 13PECh. 5 - Prob. 14PECh. 5 - Prob. 15PECh. 5 - Prob. 16PECh. 5 - Prob. 17PECh. 5 - Prob. 18PECh. 5 - Prob. 19PECh. 5 - Prob. 20PECh. 5 - Prob. 21PECh. 5 - Prob. 22PECh. 5 - Prob. 23PECh. 5 - Prob. 24PECh. 5 - Prob. 25PECh. 5 - Prob. 26PECh. 5 - Prob. 27PECh. 5 - Prob. 28PECh. 5 - Prob. 29PECh. 5 - Prob. 30PECh. 5 - Prob. 31PECh. 5 - Find the total area of the region between the...Ch. 5 - Prob. 33PECh. 5 - Prob. 34PECh. 5 - Prob. 35PECh. 5 - Prob. 36PECh. 5 - Prob. 37PECh. 5 - Prob. 38PECh. 5 - Prob. 39PECh. 5 - Prob. 40PECh. 5 - Prob. 41PECh. 5 - Prob. 42PECh. 5 - Prob. 43PECh. 5 - Prob. 44PECh. 5 - Prob. 45PECh. 5 - Prob. 46PECh. 5 - Prob. 47PECh. 5 - Prob. 48PECh. 5 - Prob. 49PECh. 5 - Prob. 50PECh. 5 - Prob. 51PECh. 5 - Prob. 52PECh. 5 - Prob. 53PECh. 5 - Prob. 54PECh. 5 - Prob. 55PECh. 5 - Prob. 56PECh. 5 - Prob. 57PECh. 5 - Prob. 58PECh. 5 - Prob. 59PECh. 5 - Prob. 60PECh. 5 - Prob. 61PECh. 5 - Prob. 62PECh. 5 - Prob. 63PECh. 5 - Prob. 64PECh. 5 - Prob. 65PECh. 5 - Prob. 66PECh. 5 - Prob. 67PECh. 5 - Prob. 68PECh. 5 - Prob. 69PECh. 5 - Prob. 70PECh. 5 - Prob. 71PECh. 5 - Prob. 72PECh. 5 - Prob. 73PECh. 5 - Prob. 74PECh. 5 - Prob. 75PECh. 5 - Prob. 76PECh. 5 - Prob. 77PECh. 5 - Prob. 78PECh. 5 - Prob. 79PECh. 5 - Prob. 80PECh. 5 - Prob. 81PECh. 5 - Prob. 82PECh. 5 - Prob. 83PECh. 5 - Prob. 84PECh. 5 - Prob. 85PECh. 5 - Prob. 86PECh. 5 - Prob. 87PECh. 5 - Prob. 88PECh. 5 - Prob. 89PECh. 5 - Evaluate the integrals in Exercises 77–116.
94.
Ch. 5 - Prob. 91PECh. 5 - Prob. 92PECh. 5 - Prob. 93PECh. 5 - Prob. 94PECh. 5 - Prob. 95PECh. 5 - Prob. 96PECh. 5 - Prob. 97PECh. 5 - Prob. 98PECh. 5 - Prob. 99PECh. 5 - Prob. 100PECh. 5 - Prob. 101PECh. 5 - Prob. 102PECh. 5 - Prob. 103PECh. 5 - Prob. 104PECh. 5 - Prob. 105PECh. 5 - Prob. 106PECh. 5 - Prob. 107PECh. 5 - Prob. 108PECh. 5 - Prob. 109PECh. 5 - Prob. 110PECh. 5 - Prob. 111PECh. 5 - Prob. 112PECh. 5 - Prob. 113PECh. 5 - Prob. 114PECh. 5 - Prob. 115PECh. 5 - Prob. 116PECh. 5 - Prob. 117PECh. 5 - Prob. 118PECh. 5 - Prob. 119PECh. 5 - Prob. 120PECh. 5 - Prob. 121PECh. 5 - Prob. 122PECh. 5 - Prob. 123PECh. 5 - Prob. 124PECh. 5 - Prob. 125PECh. 5 - Prob. 126PECh. 5 - Prob. 127PECh. 5 - Prob. 128PECh. 5 - Prob. 1AAECh. 5 - Prob. 2AAECh. 5 - Prob. 3AAECh. 5 - Prob. 4AAECh. 5 - Prob. 5AAECh. 5 - Prob. 6AAECh. 5 - Prob. 7AAECh. 5 - Prob. 8AAECh. 5 - Prob. 9AAECh. 5 - Prob. 10AAECh. 5 - Prob. 11AAECh. 5 - Prob. 12AAECh. 5 - Prob. 13AAECh. 5 - Prob. 14AAECh. 5 - Prob. 15AAECh. 5 - Prob. 16AAECh. 5 - Prob. 17AAECh. 5 - Prob. 18AAECh. 5 - Prob. 19AAECh. 5 - Prob. 20AAECh. 5 - Prob. 21AAECh. 5 - Prob. 22AAECh. 5 - Prob. 23AAECh. 5 - Prob. 24AAECh. 5 - Prob. 25AAECh. 5 - Prob. 26AAECh. 5 - Prob. 27AAECh. 5 - Prob. 28AAECh. 5 - Prob. 29AAECh. 5 - Prob. 30AAECh. 5 - Prob. 31AAECh. 5 - Prob. 32AAECh. 5 - Prob. 33AAECh. 5 - Prob. 34AAECh. 5 - Prob. 35AAECh. 5 - Prob. 36AAECh. 5 - Prob. 37AAECh. 5 - Prob. 38AAECh. 5 - Prob. 39AAECh. 5 - Prob. 40AAE
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- Inverse laplace transform Lect: Huda I H.w 1- F(S)= A- Find - F(s) of the following S (s+1)5 1 2- F(s) s² (s-a) 5+5 3- F(s)= s2+4s+3 1 4- F(s)= (s+2)2(s-2) 3s2-7s+5 5- F(s)= (s-1)(s2-5s+6)arrow_forwardInverse laplace transform Lect :Huda I H.w A- Find L-1 F(s) of the following 1- F(S)= 2- F(s)- S (+1)5 s² (s-a) 5+5 s2+4s+3 3- F(s)- 1 4- F(s)- (s+2)2(s-2) 3s2-7s+5 5- F(s)- (s-1)(s2-55+6) B-Solve the D.E of the following: 1- y'+3y+2fy dt = f(t) for y(0)-1 if f(t) is the function whose graph is shown below 2 1 2 2-y+4y-u(t) for y(0)=y'(0)=0 3- y"+4y'+13y= e−2t sin3t for y(0)-1 and y'(0)=-2 17arrow_forwardshow step by step answerarrow_forward
- Write the given third order linear equation as an equivalent system of first order equations with initial values. Use Y1 = Y, Y2 = y', and y3 = y". - - √ (3t¹ + 3 − t³)y" — y" + (3t² + 3)y' + (3t — 3t¹) y = 1 − 3t² \y(3) = 1, y′(3) = −2, y″(3) = −3 (8) - (888) - with initial values Y = If you don't get this in 3 tries, you can get a hint.arrow_forwardQuestion 2 1 pts Let A be the value of the triple integral SSS. (x³ y² z) dV where D is the region D bounded by the planes 3z + 5y = 15, 4z — 5y = 20, x = 0, x = 1, and z = 0. Then the value of sin(3A) is -0.003 0.496 -0.408 -0.420 0.384 -0.162 0.367 0.364arrow_forwardQuestion 1 Let A be the value of the triple integral SSS₂ (x + 22) = 1 pts dV where D is the region in 0, y = 2, y = 2x, z = 0, and the first octant bounded by the planes x z = 1 + 2x + y. Then the value of cos(A/4) is -0.411 0.709 0.067 -0.841 0.578 -0.913 -0.908 -0.120arrow_forward
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