Calculus: Early Transcendentals, Books A La Carte Edition (3rd Edition)
3rd Edition
ISBN: 9780134770512
Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher: PEARSON
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Textbook Question
Chapter B, Problem 48E
Intervals to sets Express the following intervals in set notation. Use absolute value notation when possible.
48. (2, 3] or [4, 5)
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(7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz).
Ꮖ
(a) (4 points) Show that V x F = 0.
(b) (4 points) Find a potential f for the vector field F.
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Jos
F.ds;
as denotes the boundary of S. Explain your answer.
(3) (16 points) Consider
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steps otherwise no credit.
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T(x, y) = (x, y, ƒ (g(x, y))
(x, y) = R².
Give a parametric description of the tangent plane to S at the point p = T(x, y).
(d) (4 points) Calculate the second Taylor polynomial Q(x, y) (i.e. the quadratic
approximation) of F = (fog) at a point (a, b). Verify that
Q(x,y) F(a+x,b+y).
=
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(z +4ry)drdy .
So S√ ²
0
Chapter B Solutions
Calculus: Early Transcendentals, Books A La Carte Edition (3rd Edition)
Ch. B - State the meaning of {x: 4 x 10}. Express the...Ch. B - Write the interval (, 2) in set notation and draw...Ch. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Write an equation of the set of all points that...Ch. B - Explain how to find the distance between two...Ch. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Solving inequalities Solve the following...Ch. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Working with linear equations Find an equation of...Ch. B - Prob. 39ECh. B - Prob. 40ECh. B - Prob. 41ECh. B - Prob. 42ECh. B - Prob. 43ECh. B - Prob. 44ECh. B - Prob. 45ECh. B - Prob. 46ECh. B - Intervals to sets Express the following intervals...Ch. B - Intervals to sets Express the following intervals...Ch. B - Prob. 49ECh. B - Sets in the plane Graph each set in the xy-plane....
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