Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Chapter 3.2, Problem 41S
To determine
The local extrema of the given function and then verifying the algebraic answer with the graphs.
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Calculus lll
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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).
LV
Q
+
Chapter 3 Solutions
Calculus
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