Use implicit differentation to find an equation of the tangent line to the curve 2 ( x power to the 2 + y power to the 2 ) power to the 2 = 25 ( x power to the 2 − y power to the 2 ) at the point (3, 1). This line intersects the point (16, b) for some b. Enter the value of b.
Use implicit differentation to find an equation of the tangent line to the curve 2 ( x power to the 2 + y power to the 2 ) power to the 2 = 25 ( x power to the 2 − y power to the 2 ) at the point (3, 1). This line intersects the point (16, b) for some b. Enter the value of b.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Use implicit differentation to find an equation of the tangent line to the curve 2 ( x power to the 2 + y power to the 2 ) power to the 2 = 25 ( x power to the 2 − y power to the 2 ) at the point (3, 1).
This line intersects the point (16, b) for some b. Enter the value of b.
Expert Solution
Step 1
Given :
The function .
To find :
(1) The tangent line of at the point ( 3 , 1 ) using implicit differentiation.
(2) The value of " b " if (16 , b ) is a point on the tangent line.
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