CALCULUS (CLOTH)
4th Edition
ISBN: 9781319050733
Author: Rogawski
Publisher: MAC HIGHER
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Chapter C, Problem 7E
To determine
To prove:
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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
+
Find the equation of the tangent line at the given value of x on the curve.
2y3+xy-y= 250x4; x=1
y=
Find the equation of the tangent line at the given point on the curve.
3y² -√x=44, (16,4)
y=]
...
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