Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 8.3, Problem 12QY
To determine
To calculate: The value of trigonometric function,
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(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}.
Calculate the integral
f(x, y, z) dv.
E
(12 points) Let
E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}.
(a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such
that
(x, y, z) (psin cos 0, psin sin 0, p cos) € E.
(b) (8 points) Calculate the integral
E
xyz dV using spherical coordinates.
(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}.
Calculate the integral
y,
f(x, y, z) dV.
Chapter 8 Solutions
Calculus: An Applied Approach (MindTap Course List)
Ch. 8.1 - For each angle, find a coterminal angle such that...Ch. 8.1 - Prob. 2CPCh. 8.1 - Prob. 3CPCh. 8.1 - Prob. 4CPCh. 8.1 - Prob. 1SWUCh. 8.1 - Prob. 2SWUCh. 8.1 - Prob. 3SWUCh. 8.1 - Prob. 4SWUCh. 8.1 - Prob. 5SWUCh. 8.1 - Prob. 6SWU
Ch. 8.1 - Prob. 7SWUCh. 8.1 - Prob. 8SWUCh. 8.1 - Prob. 9SWUCh. 8.1 - Prob. 10SWUCh. 8.1 - Prob. 1ECh. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Prob. 3ECh. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 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 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Height A person 6 feet tall standing 16 feet from...Ch. 8.1 - Length A guy wire is stretched from a broadcasting...Ch. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - How do you see it? Determine which angles in the...Ch. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.2 - Let (3,1) be a point on the terminal side of , as...Ch. 8.2 - Prob. 2CPCh. 8.2 - Prob. 3CPCh. 8.2 - Prob. 4CPCh. 8.2 - Prob. 5CPCh. 8.2 - Prob. 6CPCh. 8.2 - Prob. 7CPCh. 8.2 - Prob. 1SWUCh. 8.2 - Prob. 2SWUCh. 8.2 - Prob. 3SWUCh. 8.2 - Prob. 4SWUCh. 8.2 - Prob. 5SWUCh. 8.2 - Prob. 6SWUCh. 8.2 - Prob. 7SWUCh. 8.2 - Prob. 8SWUCh. 8.2 - Prob. 9SWUCh. 8.2 - Prob. 10SWUCh. 8.2 - Prob. 11SWUCh. 8.2 - Prob. 12SWUCh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Prob. 5ECh. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 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 - Length A 20-foot ladder leaning against the side...Ch. 8.2 - Width of a River A biologist wants to know the...Ch. 8.2 - Distance An airplane flying at an altitude of 6...Ch. 8.2 - Skateboard Ramp A skateboard ramp with a height of...Ch. 8.2 - Height A 25-meter line is used to tether a...Ch. 8.2 - Empire State Building You are standing 45 meters...Ch. 8.2 - Prob. 77ECh. 8.2 - Prob. 78ECh. 8.2 - Height of a Mountain In traveling across flat...Ch. 8.2 - Prob. 80ECh. 8.2 - Medicine The temperature T (in degrees Fahrenheit)...Ch. 8.2 - Prob. 82ECh. 8.2 - Prob. 83ECh. 8.2 - Prob. 84ECh. 8.2 - Prob. 85ECh. 8.2 - Prob. 86ECh. 8.2 - Prob. 87ECh. 8.2 - Prob. 88ECh. 8.3 - Prob. 1CPCh. 8.3 - Prob. 2CPCh. 8.3 - Prob. 3CPCh. 8.3 - Prob. 4CPCh. 8.3 - Prob. 5CPCh. 8.3 - Prob. 6CPCh. 8.3 - Prob. 1SWUCh. 8.3 - Prob. 2SWUCh. 8.3 - Prob. 3SWUCh. 8.3 - Prob. 4SWUCh. 8.3 - Prob. 5SWUCh. 8.3 - Prob. 6SWUCh. 8.3 - Prob. 7SWUCh. 8.3 - Prob. 8SWUCh. 8.3 - Prob. 9SWUCh. 8.3 - Prob. 10SWUCh. 8.3 - Prob. 11SWUCh. 8.3 - Prob. 12SWUCh. 8.3 - Prob. 13SWUCh. 8.3 - Prob. 14SWUCh. 8.3 - Prob. 15SWUCh. 8.3 - Prob. 16SWUCh. 8.3 - Prob. 17SWUCh. 8.3 - Prob. 18SWUCh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Finding the Period In Exercises 15-20, find the...Ch. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Matching In Exercises 21-26, match the...Ch. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 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 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 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 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Prob. 64ECh. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Prob. 67ECh. 8.3 - Prob. 68ECh. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Prob. 73ECh. 8.3 - Biology: Predator-Prey Cycle The population P of a...Ch. 8.3 - Music When tuning a piano, a technician strikes a...Ch. 8.3 - Health The function P=10020cos5t3 approximates the...Ch. 8.3 - Prob. 77ECh. 8.3 - Prob. 78ECh. 8.3 - Prob. 79ECh. 8.3 - Prob. 80ECh. 8.3 - Prob. 81ECh. 8.3 - Prob. 82ECh. 8.3 - Prob. 83ECh. 8.3 - HOW DO YOU SEE IT? The normal monthly high...Ch. 8.3 - True or False? In Exercises 8588, determine...Ch. 8.3 - Prob. 86ECh. 8.3 - Prob. 87ECh. 8.3 - Prob. 88ECh. 8.3 - Prob. 1QYCh. 8.3 - Prob. 2QYCh. 8.3 - Prob. 3QYCh. 8.3 - Prob. 4QYCh. 8.3 - Prob. 5QYCh. 8.3 - Prob. 6QYCh. 8.3 - Prob. 7QYCh. 8.3 - Prob. 8QYCh. 8.3 - Prob. 9QYCh. 8.3 - Prob. 10QYCh. 8.3 - Prob. 11QYCh. 8.3 - Prob. 12QYCh. 8.3 - Prob. 13QYCh. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - Prob. 15QYCh. 8.3 - Prob. 16QYCh. 8.3 - In Exercises 15-17, solve the equation for ....Ch. 8.3 - Prob. 18QYCh. 8.3 - Prob. 19QYCh. 8.3 - Prob. 20QYCh. 8.3 - A map maker needs to determine the distance d...Ch. 8.3 - Prob. 22QYCh. 8.3 - Prob. 23QYCh. 8.3 - Prob. 24QYCh. 8.3 - Prob. 25QYCh. 8.4 - Differentiate each function. a. y=cos4x b....Ch. 8.4 - Prob. 2CPCh. 8.4 - Prob. 3CPCh. 8.4 - Prob. 4CPCh. 8.4 - Prob. 5CPCh. 8.4 - Prob. 6CPCh. 8.4 - Prob. 7CPCh. 8.4 - Prob. 8CPCh. 8.4 - Prob. 9CPCh. 8.4 - Prob. 1SWUCh. 8.4 - Prob. 2SWUCh. 8.4 - Prob. 3SWUCh. 8.4 - Prob. 4SWUCh. 8.4 - Prob. 5SWUCh. 8.4 - Prob. 6SWUCh. 8.4 - Prob. 7SWUCh. 8.4 - Prob. 8SWUCh. 8.4 - In Exercises 7-10, solve the equation for x....Ch. 8.4 - Prob. 10SWUCh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 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 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Differentiating Trigonometric Functions In...Ch. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Slope of a Tangent Line In Exercises 41 and 42,...Ch. 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 - Finding an Equation of a Tangent Line In Exercises...Ch. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 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 - Finding Relative Extrema In Exercises 53-62, find...Ch. 8.4 - Prob. 60ECh. 8.4 - Prob. 61ECh. 8.4 - Finding Relative Extrema In Exercises 53-62, find...Ch. 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 - Transportation Workers The number W (in thousands)...Ch. 8.4 - Employment The number W (in thousands) of golf...Ch. 8.4 - Biology Plants do not grow at constant rates...Ch. 8.4 - Tides Throughout the day, the depth of water D (in...Ch. 8.4 - Prob. 73ECh. 8.4 - HOW DO YOU SEE IT? The graph shows the height h...Ch. 8.4 - Analyzing a Function In Exercises 75-80, use a...Ch. 8.4 - Prob. 76ECh. 8.4 - Prob. 77ECh. 8.4 - Prob. 78ECh. 8.4 - Prob. 79ECh. 8.4 - Prob. 80ECh. 8.4 - Prob. 81ECh. 8.4 - Prob. 82ECh. 8.4 - Prob. 83ECh. 8.4 - Prob. 84ECh. 8.5 - Find 5sinxdx.Ch. 8.5 - Prob. 2CPCh. 8.5 - Prob. 3CPCh. 8.5 - Prob. 4CPCh. 8.5 - Prob. 5CPCh. 8.5 - Prob. 6CPCh. 8.5 - Prob. 7CPCh. 8.5 - Prob. 8CPCh. 8.5 - Prob. 9CPCh. 8.5 - Prob. 1SWUCh. 8.5 - Prob. 2SWUCh. 8.5 - Prob. 3SWUCh. 8.5 - Prob. 4SWUCh. 8.5 - Prob. 5SWUCh. 8.5 - Prob. 6SWUCh. 8.5 - Prob. 7SWUCh. 8.5 - Prob. 8SWUCh. 8.5 - Prob. 9SWUCh. 8.5 - Prob. 10SWUCh. 8.5 - Prob. 11SWUCh. 8.5 - Prob. 12SWUCh. 8.5 - Prob. 13SWUCh. 8.5 - Prob. 14SWUCh. 8.5 - In Exercises 9-16, simplify the expression using...Ch. 8.5 - Prob. 16SWUCh. 8.5 - Prob. 17SWUCh. 8.5 - Prob. 18SWUCh. 8.5 - Prob. 19SWUCh. 8.5 - Prob. 20SWUCh. 8.5 - Prob. 1ECh. 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 - Integrating a Trigonometric Function In Exercises...Ch. 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 - Integrating a Trigonometric Function In Exercises...Ch. 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 - Integration by Parts In Exercises 33-38, use...Ch. 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 - Prob. 45ECh. 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 - Finding the Area of a Region In Exercises 53-56,...Ch. 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 - Cost The temperature T (in degrees Fahrenheit) in...Ch. 8.5 - Water Supply The flow rate R (in thousands of...Ch. 8.5 - Prob. 63ECh. 8.5 - Prob. 64ECh. 8.5 - Prob. 67ECh. 8.5 - Prob. 68ECh. 8 - Finding Coterminal Angles In Exercises 1 4,...Ch. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Height A 16-foot ladder leans against the side of...Ch. 8 - Height A person 6 feet tall walks away from a...Ch. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Solving a Right Triangle In Exercises 4144, solve...Ch. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Solving a Trigonometric Equation In Exercises...Ch. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Height The length of the shadow of a tree is 125...Ch. 8 - Length A guy wire runs from the ground to a cell...Ch. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Differentiating trigonometric Functions In...Ch. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Prob. 75RECh. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Prob. 82RECh. 8 - Prob. 83RECh. 8 - Prob. 84RECh. 8 - Prob. 85RECh. 8 - Prob. 86RECh. 8 - Prob. 87RECh. 8 - Prob. 88RECh. 8 - Prob. 89RECh. 8 - Prob. 90RECh. 8 - Finding Relative Extrema In Exercises 91-96, find...Ch. 8 - Finding Relative Extrema In Exercises 91-96, find...Ch. 8 - Prob. 93RECh. 8 - Prob. 94RECh. 8 - Prob. 95RECh. 8 - Prob. 96RECh. 8 - Prob. 97RECh. 8 - Prob. 98RECh. 8 - Prob. 99RECh. 8 - Prob. 100RECh. 8 - Integrating a Trigonometric Function In Exercises...Ch. 8 - Prob. 102RECh. 8 - Prob. 103RECh. 8 - Prob. 104RECh. 8 - Prob. 105RECh. 8 - Prob. 106RECh. 8 - Prob. 107RECh. 8 - Integrating a Trigonometric Function In Exercises...Ch. 8 - Prob. 109RECh. 8 - Prob. 110RECh. 8 - Prob. 111RECh. 8 - Prob. 112RECh. 8 - Prob. 113RECh. 8 - Prob. 114RECh. 8 - Evaluating a Definite Integral In Exercises...Ch. 8 - Prob. 116RECh. 8 - Prob. 117RECh. 8 - Prob. 118RECh. 8 - Prob. 119RECh. 8 - Prob. 120RECh. 8 - Prob. 121RECh. 8 - Prob. 122RECh. 8 - Prob. 123RECh. 8 - Health For a person at rest, the velocity v (in...Ch. 8 - Prob. 125RECh. 8 - Prob. 126RECh. 8 - Prob. 1TYSCh. 8 - Prob. 2TYSCh. 8 - Prob. 3TYSCh. 8 - Prob. 4TYSCh. 8 - Prob. 5TYSCh. 8 - Prob. 6TYSCh. 8 - At a distance of 19 feet from the base, the angle...Ch. 8 - Prob. 8TYSCh. 8 - Prob. 9TYSCh. 8 - Prob. 10TYSCh. 8 - Prob. 11TYSCh. 8 - Prob. 12TYSCh. 8 - Prob. 13TYSCh. 8 - Prob. 14TYSCh. 8 - Prob. 15TYSCh. 8 - Prob. 16TYSCh. 8 - Prob. 17TYSCh. 8 - Prob. 18TYSCh. 8 - Prob. 19TYSCh. 8 - Prob. 20TYSCh. 8 - Prob. 21TYSCh. 8 - Prob. 22TYSCh. 8 - Prob. 23TYSCh. 8 - Prob. 24TYS
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- review help please and thank you!arrow_forward(10 points) Let S be the surface that is part of the sphere x² + y²+z² = 4 lying below the plane 2√3 and above the plane z-v -√3. Calculate the surface area of S.arrow_forward(8 points) Let D = {(x, y) | 0 ≤ x² + y² ≤4}. Calculate == (x² + y²)³/2dA by making a change of variables to polar coordinates, i.e. x=rcos 0, y = r sin 0.arrow_forward
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- On from the equation: 2 u = C₁ + C₂ Y + Czy + Cu y³ Find C₁, C₂, C3 and Cy Using these following Cases : (a) 4=0 at y=0 (b) U = U∞ at y = 8 du (c) at Y = S ду --y. ди = 0 at y = 0 бугarrow_forwardTips S ps L 50. lim x2 - 4 x-2x+2 51. lim 22 - X 52. 53. x 0 Answer lim x 0 lim 2-5 X 2x2 2 x² Answer -> 54. lim T - 3x - - 25 +5 b+1 b3b+3 55. lim X x-1 x 1 Answer 56. lim x+2 x 2 x 2 57. lim x²-x-6 x-2 x²+x-2 Answer-> 23-8 58. lim 2-22-2arrow_forwardS 36. lim 5x+2 x-2 37. lim √√2x4 + x² x-3 Answer-> 2x3 +4 38. lim x12 √ x² + 1 √√x² + 8 39. lim x-1 2x+4 Answer 40. lim x3 2x x√x² + 7 √√2x+3arrow_forward
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