Multivariable Calculus
8th Edition
ISBN: 9781305266643
Author: James Stewart
Publisher: Cengage Learning
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Textbook Question
Chapter G, Problem 49E
If u(x) = f(x) + ig(x) is a complex-valued function of a real variable x and the real and imaginary parts f(x) and g(x) are differentiable functions of x, then the derivative of u is defined to be u′(x) = f′(x) + ig′(x). Use this together with Equation 7 to prove that if F(x) = erx, then F′(x) = rerx when r = a + bi is a
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Chapter G Solutions
Multivariable Calculus
Ch. G - Evaluate the expression and write your answer in...Ch. G - Evaluate the expression and write your answer in...Ch. G - Prob. 3ECh. G - Prob. 4ECh. G - Prob. 5ECh. G - Evaluate the expression and write your answer in...Ch. G - Evaluate the expression and write your answer in...Ch. G - Prob. 8ECh. G - Prob. 9ECh. G - Prob. 10E
Ch. G - Prob. 11ECh. G - Evaluate the expression and write your answer in...Ch. G - Evaluate the expression and write your answer in...Ch. G - Prob. 14ECh. G - Prob. 15ECh. G - Prob. 16ECh. G - Prob. 17ECh. G - Prob. 18ECh. G - Prob. 19ECh. G - Prob. 20ECh. G - Prob. 21ECh. G - Prob. 22ECh. G - Prob. 23ECh. G - Prob. 24ECh. G - Prob. 25ECh. G - Prob. 26ECh. G - Prob. 27ECh. G - Prob. 28ECh. G - Prob. 29ECh. G - Find polar forms for zw, z/w, and 1/z by first...Ch. G - Find polar forms for zw, z/w, and 1/z by first...Ch. G - Prob. 32ECh. G - Prob. 33ECh. G - Prob. 34ECh. G - Prob. 35ECh. G - Prob. 36ECh. G - Prob. 37ECh. G - Prob. 38ECh. G - Prob. 39ECh. G - Prob. 40ECh. G - Write the number in the form a + bi. 41. ei/2Ch. G - Prob. 42ECh. G - Prob. 43ECh. G - Prob. 44ECh. G - Prob. 45ECh. G - Prob. 46ECh. G - Prob. 47ECh. G - Prob. 48ECh. G - If u(x) = f(x) + ig(x) is a complex-valued...Ch. G - (a) If u is a complex-valued function of a real...
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