Single Variable Calculus: Early Transcendentals, Volume I
8th Edition
ISBN: 9781305270343
Author: James Stewart
Publisher: Cengage Learning
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Chapter D, Problem 56E
To determine
To prove: The identity
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z = x²+xy³, x = uv²+w³, y=u+vew
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then find:
when u = −3, v = 2, w = 0
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Let z(x, y) = -3x² + 8y² where x = 4s + 2t & y = −5s - 8t.
Calculate
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by first finding
and using the chain rule.
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Find the differential of the function f(x,y) = 3xe² at the point (3, 4) using Ax = 0.3 and Ay = −0.2
dz =
Now find Az and compare it to your answer above
Az =
Hint: If entering a decimal, round to at least 5 places
Chapter D Solutions
Single Variable Calculus: Early Transcendentals, Volume I
Ch. D - Prob. 1ECh. D - Prob. 2ECh. D - Prob. 3ECh. D - Prob. 4ECh. D - Prob. 5ECh. D - Prob. 6ECh. D - Prob. 7ECh. D - Prob. 8ECh. D - Prob. 9ECh. D - Prob. 10E
Ch. D - Prob. 11ECh. D - Prob. 12ECh. D - Prob. 13ECh. D - Prob. 14ECh. D - Prob. 15ECh. D - Prob. 16ECh. D - Prob. 17ECh. D - Prob. 18ECh. D - Prob. 19ECh. D - Prob. 20ECh. D - Prob. 21ECh. D - Prob. 22ECh. D - Prob. 23ECh. D - Prob. 24ECh. D - Prob. 25ECh. D - Prob. 26ECh. D - Prob. 27ECh. D - Prob. 28ECh. D - Prob. 29ECh. D - Prob. 30ECh. D - Prob. 31ECh. D - Prob. 32ECh. D - Prob. 33ECh. D - Prob. 34ECh. D - Prob. 35ECh. D - Prob. 36ECh. D - Prob. 37ECh. D - Prob. 38ECh. D - Prob. 39ECh. D - Prob. 40ECh. D - Prob. 41ECh. D - Prob. 42ECh. D - Prob. 43ECh. D - Prob. 44ECh. D - Prob. 45ECh. D - Prob. 46ECh. D - Prob. 47ECh. D - Prob. 48ECh. D - Prob. 49ECh. D - Prob. 50ECh. D - Prob. 51ECh. D - Prob. 52ECh. D - Prob. 53ECh. D - Prob. 54ECh. D - Prob. 55ECh. D - Prob. 56ECh. D - Prob. 57ECh. D - Prob. 58ECh. D - Prob. 59ECh. D - Prob. 60ECh. D - Prob. 61ECh. D - Prob. 62ECh. D - Prob. 63ECh. D - Prob. 64ECh. D - Prob. 65ECh. D - Prob. 66ECh. D - Prob. 67ECh. D - Prob. 68ECh. D - Find all values of x in the interval [0, 2] that...Ch. D - Prob. 70ECh. D - Prob. 71ECh. D - Prob. 72ECh. D - Prob. 73ECh. D - Prob. 74ECh. D - Prob. 75ECh. D - Prob. 76ECh. D - Prob. 77ECh. D - Prob. 78ECh. D - Prob. 79ECh. D - Prob. 80ECh. D - Prob. 81ECh. D - Prob. 82ECh. D - Prob. 83ECh. D - Prob. 84ECh. D - Prob. 85ECh. D - Prob. 86ECh. D - Prob. 87ECh. D - Prob. 88ECh. D - Prob. 89E
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