University Calculus: Early Transcendentals (3rd Edition)
3rd Edition
ISBN: 9780321999580
Author: Joel R. Hass, Maurice D. Weir, George B. Thomas Jr.
Publisher: PEARSON
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Chapter 5.4, Problem 38E
To determine
Evaluate the value of definite
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Chapter 5 Solutions
University Calculus: Early Transcendentals (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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- Q1/Details of square footing are as follows: DL = 800 KN, LL = 500 kN, Fy=414 MPa, Fc = 20 MPa Footing, qa = 120 kPa, Column (400x400) mm. Determine the dimensions of footing and thickness? Q2/ For the footing system shown in Figure below, find the suitable size (BxL) for: 1. Non uniform pressure, 2. Uniform pressure, 3.Uniform pressure with moment in clockwise direction. (Use qmax=qall =200kPa). Property, line M=200KN.m 1m P-1000KNarrow_forwardQ2/ Determine the size of square footing to carry net allowable load of 400 kN. FS-3. Use Terzaghi equation assuming general shear failure. 400KN 1 m += 35" C=0.0 Ya = 18.15 kN/m³ +=25" C=50 kN/m² Ya 20 kN/m³arrow_forward4 x+3 and g(x)=x2-9 4X-10 2X --13) The domain of rational expression A) 1R. {-2,-8} AB -14) Let f(x) = B) 1R. {2,-4,-8} 4X-12 x² +6x-16 X3+7X²+12X ? C) 1R \ {-4,-3,0} then f(x) + g(x) is equal ro D) IR 2 A) B) c) D) x²-9 x2-9 x²-9 x+4 DB 5x-4 A B If + then the value of B is equal to X+1 A) 4 B) 2 C) 5 D) 3 4X 4x+4 С.В.... x2+5X+6 x2 (x-2)(x+1) X-2 AC 16 The solution set of the equation A){4} B) {-3} C){ 1} 17 The solution set of the equation A) (-3,-2) B) [-3,0) C)[-3,-2] D). [-2,0) BA -18) Which one of the following is proper fraction? 2x+4 ≤0 入×1 x+2x+4 (x+1)(x+2) 2x+4x+2 = 4 X+1 is equal to D). {-5} ≤0 A) x6 +4 2x+12 2X x +4 B) c) x2-9 AL 2x+12 D) x+4 14) let g(x) = [x-3],then g(-2) is equal to A) -5 B)-6 C)-3 D) 3 Part III work out (show every step cleary) (2pt) 20. E9) Find the solution set of the equation 2x+4 x+1 ≤0 P(x) (a) P(x) =≤0 2x+4 50 x+1 x+1≤ 2x+4 (x-1)(x-2) x= 1 or x=2 solution is {1.2} x-1=0 of x-2=0 x = 1 or = 2arrow_forward
- 8d6 عدد انباء Q/ Design a rectangular foo A ing of B-2.75m to support a column of dimensions (0.46 x 0.46) m, dead load =1300kN, live load = 1300kN, qa-210kPa, fc' 21 MPa, fy- 400 MPa. =arrow_forwardQ1/ Two plate load tests were conducted in a C-0 soil as given belo Determine the required size of a footing to carry a load of 1250 kN for the same settlement of 30 mm. Size of plates (m) Load (KN) Settlement (mm) 0.3 x 0.3 40 30 0.6 x 0.6 100 30 Qx 0.6zarrow_forwardThe OU process studied in the previous problem is a common model for interest rates. Another common model is the CIR model, which solves the SDE: dX₁ = (a = X₁) dt + σ √X+dWt, - under the condition Xoxo. We cannot solve this SDE explicitly. = (a) Use the Brownian trajectory simulated in part (a) of Problem 1, and the Euler scheme to simulate a trajectory of the CIR process. On a graph, represent both the trajectory of the OU process and the trajectory of the CIR process for the same Brownian path. (b) Repeat the simulation of the CIR process above M times (M large), for a large value of T, and use the result to estimate the long-term expectation and variance of the CIR process. How do they compare to the ones of the OU process? Numerical application: T = 10, N = 500, a = 0.04, x0 = 0.05, σ = 0.01, M = 1000. 1 (c) If you use larger values than above for the parameters, such as the ones in Problem 1, you may encounter errors when implementing the Euler scheme for CIR. Explain why.arrow_forward
- #8 (a) Find the equation of the tangent line to y = √x+3 at x=6 (b) Find the differential dy at y = √x +3 and evaluate it for x=6 and dx = 0.3arrow_forwardQ.2 Q.4 Determine ffx dA where R is upper half of the circle shown below. x²+y2=1 (1,0)arrow_forwardthe second is the Problem 1 solution.arrow_forward
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