EP CALCULUS FOR BUSINESS..-MYLAB ACCESS
14th Edition
ISBN: 9780135961438
Author: Barnett
Publisher: PEARSON CO
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Chapter B.4, Problem 20E
(A)
To determine
To approximate: The value of
(B)
To determine
To approximate: The value of
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(1) (16 points) Let f(x, y) = 2x + 3y + In(xy)
(a) (6 points) Calculate the gradient field Vf(x, y) and determine all points (x, y)
where
▼f(x, y) = (0, 0).
(b) (4 points) Calculate the second derivative matrix D²f(x,y).
Let f(x, y) = 2x + 3y+ In(xy)
(3) (16 points) Let D = [0, π/2] × [0, 7/6]. Define T: DCR2 R3 by
→
T(0, 4) = (2 sin cos 0, 2 sin sin 0, 2 cos x).
Let S be the surface parametrized by T.
(a) (8 points) Determine the normal, call it n(p), for the tangent plane TS at an
arbitrary point p = T(0, 4).
(b) (4 points) Show that n(p) parallel to the position vector T(0, 4) determined by
p? Do the two vectors have the same direction or opposite direction? Explain.
(c) (4 points) At which points p, if any, is TS parallel to the xy-plane?
Chapter B.4 Solutions
EP CALCULUS FOR BUSINESS..-MYLAB ACCESS
Ch. B.4 - Consider the points in Table 1. (A)Let...Ch. B.4 - Given the following polynomial and table,...Ch. B.4 - Prob. 1MPCh. B.4 - Prob. 2MPCh. B.4 - Prob. 3MPCh. B.4 - Prob. 4MPCh. B.4 - Prob. 1ECh. B.4 - Prob. 2ECh. B.4 - Prob. 3ECh. B.4 - Prob. 4E
Ch. B.4 - Prob. 5ECh. B.4 - Prob. 6ECh. B.4 - Prob. 7ECh. B.4 - Prob. 8ECh. B.4 - Prob. 9ECh. B.4 - Prob. 10ECh. B.4 - Prob. 11ECh. B.4 - Prob. 12ECh. B.4 - Prob. 13ECh. B.4 - In Problems 1320, use the interpolating polynomial...Ch. B.4 - Prob. 15ECh. B.4 - Prob. 16ECh. B.4 - Prob. 17ECh. B.4 - Prob. 18ECh. B.4 - Prob. 19ECh. B.4 - Prob. 20ECh. B.4 - Prob. 21ECh. B.4 - Prob. 22ECh. B.4 - In Problems 2130, find the interpolating...Ch. B.4 - Prob. 24ECh. B.4 - Prob. 25ECh. B.4 - Prob. 26ECh. B.4 - Prob. 27ECh. B.4 - Prob. 28ECh. B.4 - Prob. 29ECh. B.4 - Prob. 30ECh. B.4 - Prob. 31ECh. B.4 - Prob. 32ECh. B.4 - Prob. 33ECh. B.4 - Prob. 34ECh. B.4 - The following table was obtained from the function...Ch. B.4 - Prob. 36ECh. B.4 - Prob. 37ECh. B.4 - The following table was obtained from the function...Ch. B.4 - Prob. 39ECh. B.4 - Prob. 40ECh. B.4 - Prob. 41ECh. B.4 - Prob. 42ECh. B.4 - Prob. 43ECh. B.4 - Prob. 44ECh. B.4 - Maximum revenue. The revenue R (in thousands of...Ch. B.4 - Minimum overage cost. The cost C (in thousands of...Ch. B.4 - Prob. 47ECh. B.4 - Prob. 48ECh. B.4 - Prob. 49ECh. B.4 - Prob. 50ECh. B.4 - Voter registration. The number N of registered...Ch. B.4 - Voter registration. The number N of registered...
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