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Let function g (x,y) = 3 x + y ln y − sin (1 − x) Assume z as function differentiable at x and y defined implicitly by E: Z y + y ² = g(x,y) - 2 a. Find g 's instantaneous rate of change moving from point (1, e) to point ( e, 1 ). b. Find equation of tangent line to the graph of E at (1, e, 1)

Let function g (x,y) = 3 x + y ln y − sin (1 − x) Assume z as function differentiable at x and y defined implicitly by E: Z y + y ² = g(x,y) - 2 a. Find g 's instantaneous rate of change moving from point (1, e) to point ( e, 1 ). b. Find equation of tangent line to the graph of E at (1, e, 1)

Advanced Engineering Mathematics
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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Let function g (x,y) = 3x + y ln y sin (1 − x) Assume z as function differentiable at x and y defined implicitly by E z y + y² = g(x,y) - 2 : a. Find g 's instantaneous rate of change moving from point (1, e) to point (e, 1). b. Find equation of tangent line to the graph of E at ( 1, e, 1)
Transcribed Image Text:Let function g (x,y) = 3x + y ln y sin (1 − x) Assume z as function differentiable at x and y defined implicitly by E z y + y² = g(x,y) - 2 : a. Find g 's instantaneous rate of change moving from point (1, e) to point (e, 1). b. Find equation of tangent line to the graph of E at ( 1, e, 1)
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