Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Chapter 11.7, Problem 1PT
To determine
Whether the given statement, “
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The graph of
2(x² + y²)² = 25 (x²-y²), shown
in the figure, is a lemniscate of
Bernoulli. Find the equation of the
tangent line at the point (3,1).
-10
Write the expression for the slope in terms of x and y.
slope =
4x³ + 4xy2-25x
2
3
4x²y + 4y³ + 25y
Write the equation for the line tangent to the point (3,1).
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Chapter 11 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 11.1 - limnn2+3n2n2+n+1= a) 0 b) 12 c) 1 d)Ch. 11.1 - Prob. 2PTCh. 11.1 - Prob. 3PTCh. 11.1 - Sometimes, Always, or Never: If {an} is increasing...Ch. 11.1 - Prob. 5PTCh. 11.1 - Prob. 6PTCh. 11.1 - Prob. 7PTCh. 11.1 - Prob. 8PTCh. 11.2 - Prob. 1PTCh. 11.2 - Prob. 2PT
Ch. 11.2 - Prob. 3PTCh. 11.2 - Prob. 4PTCh. 11.2 - Prob. 5PTCh. 11.2 - Prob. 6PTCh. 11.2 - Prob. 7PTCh. 11.2 - Prob. 8PTCh. 11.3 - For what values of p does the series n=11(n2)p...Ch. 11.3 - True or False: If f(x) is continuous and...Ch. 11.3 - Prob. 3PTCh. 11.3 - Prob. 4PTCh. 11.3 - Prob. 5PTCh. 11.3 - Prob. 6PTCh. 11.4 - Prob. 1PTCh. 11.4 - Prob. 2PTCh. 11.4 - True or False: n=1n+n3n2/3+n3/2+1 is a convergent...Ch. 11.4 - Prob. 4PTCh. 11.4 - Prob. 5PTCh. 11.5 - Prob. 1PTCh. 11.5 - Prob. 2PTCh. 11.5 - Prob. 3PTCh. 11.5 - Prob. 4PTCh. 11.6 - Prob. 1PTCh. 11.6 - Prob. 2PTCh. 11.6 - Prob. 3PTCh. 11.6 - Prob. 4PTCh. 11.6 - Prob. 5PTCh. 11.6 - Prob. 6PTCh. 11.7 - Prob. 1PTCh. 11.7 - Prob. 2PTCh. 11.7 - Prob. 3PTCh. 11.7 - Prob. 4PTCh. 11.7 - Prob. 5PTCh. 11.7 - Prob. 6PTCh. 11.8 - Sometimes, Always, or Never: The interval of...Ch. 11.8 - Prob. 2PTCh. 11.8 - Prob. 3PTCh. 11.8 - Prob. 4PTCh. 11.8 - Prob. 5PTCh. 11.9 - Prob. 1PTCh. 11.9 - For f(x)=n=0x2nn!, f(x) = a) n=1x2n1n! b)...Ch. 11.9 - Using 11x=n=0xn for |x| 1, x1x2dx= a) n=0x2n2n b)...Ch. 11.9 - Using 11x=n=0xn for |x| 1 and differentiation,...Ch. 11.9 - From 11x=n=0xn for |x| 1 and substituting 4x2 for...Ch. 11.10 - Given the Taylor Series ex=n=0xnn!, a Taylor...Ch. 11.10 - Prob. 2PTCh. 11.10 - Prob. 3PTCh. 11.10 - Prob. 4PTCh. 11.10 - Prob. 5PTCh. 11.10 - Prob. 6PTCh. 11.10 - Prob. 7PTCh. 11.10 - Prob. 8PTCh. 11.10 - Prob. 9PTCh. 11.10 - Prob. 10PTCh. 11.10 - Using a binomial series, the Maclaurin series for...Ch. 11.10 - Prob. 12PTCh. 11.11 - Prob. 1PTCh. 11.11 - Prob. 2PTCh. 11.11 - Prob. 3PT
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