Student Solutions Manual for Stewart's Single Variable Calculus: Early Transcendentals, 8th (James Stewart Calculus)
8th Edition
ISBN: 9781305272422
Author: James Stewart, Jeffrey A. Cole, Daniel Drucker, Daniel Anderson
Publisher: Cengage Learning
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Textbook Question
Chapter E, Problem 40E
Prove formula (e) of Theorem 3 using the following method published by Abu Bekr Mohammed ibn Alhusain Alkar-chi in about ad 1010. The figure shows a square ABCD in which sides AB and AD have been divided into segments of lengths 1, 2, 3, …, n. Thus the side of the square has length n(n + 1)/2 so the area is [n(n + 1)/2]2. But the area is also the sum of the areas of the n “gnomons” G1, G2, ..., Gn shown in the figure. Show that the area of Gi is i3 and conclude that formula (e) is true.
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4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
The correct answer is C,i know that we need to use stokes theorem and parametrize the equations then write the equation F with respect to the curve but i cant seem to find a way to do it, the integral should be from 0 to 2pi but i might be wrongcould you show me the steps to get to 18pi
Chapter E Solutions
Student Solutions Manual for Stewart's Single Variable Calculus: Early Transcendentals, 8th (James Stewart Calculus)
Ch. E - Prob. 1ECh. E - Write the sum in expanded form. 2. i=161i+1Ch. E - Prob. 3ECh. E - Write the sum in expanded form. 4. i=46i3Ch. E - Prob. 5ECh. E - Prob. 6ECh. E - Prob. 7ECh. E - Prob. 8ECh. E - Write the sum in expanded form. 9. j=0n1(1)jCh. E - Write the sum in expanded form. 10. i=1nf(xi)xi
Ch. E - Prob. 11ECh. E - Write the sum in sigma notation. 12. 3+4+5+6+7Ch. E - Prob. 13ECh. E - Write the sum in sigma notation. 14....Ch. E - Prob. 15ECh. E - Prob. 16ECh. E - Prob. 17ECh. E - Prob. 18ECh. E - Prob. 19ECh. E - Prob. 20ECh. E - Prob. 21ECh. E - Prob. 22ECh. E - Prob. 23ECh. E - Prob. 24ECh. E - Prob. 25ECh. E - Find the value of the sum. 26. i=11004Ch. E - Prob. 27ECh. E - Prob. 28ECh. E - Prob. 29ECh. E - Prob. 30ECh. E - Find the value of the sum. 31. i=1n(i2+3i+4)Ch. E - Prob. 32ECh. E - Prob. 33ECh. E - Prob. 34ECh. E - Prob. 35ECh. E - Prob. 36ECh. E - Prob. 37ECh. E - Prob. 38ECh. E - Prob. 39ECh. E - Prove formula (e) of Theorem 3 using the following...Ch. E - Evaluate each telescoping sum. (a) i=1n[i4(i1)4]...Ch. E - Prob. 42ECh. E - Prob. 43ECh. E - Prob. 44ECh. E - Prob. 45ECh. E - Prob. 46ECh. E - Prob. 47ECh. E - Prob. 48ECh. E - Prob. 49ECh. E - Prob. 50E
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