Let g(x, y) = 3x + ylny-sin(1-x). Suppose z is a differentiable function of x and y implicitly defined by the equation E:2 + y² = g(x, y) - 2. a. Find the instantaneous rate of change of g as one moves from the point (1, e) toward the point (e, 1). b. Find the equation of the tangent plane to the graph of E at (1, e, 1). c. If in addition, x and y are functions of r and t given by x = -rt multivariate chain rule to evaluate when r = -1 and t = 1. əz ət and y = er+2t, use

Let g(x, y) = 3x + ylny-sin(1-x). Suppose z is a differentiable function of x and y implicitly defined by the equation E:2 + y² = g(x, y) - 2. a. Find the instantaneous rate of change of g as one moves from the point (1, e) toward the point (e, 1). b. Find the equation of the tangent plane to the graph of E at (1, e, 1). c. If in addition, x and y are functions of r and t given by x = -rt multivariate chain rule to evaluate when r = -1 and t = 1. əz ət and y = er+2t, use

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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