2. Pinocchio's nose length y (in inches) is dependent on his lie count s. Geppetto has modeled this phenomenon with the equation y = a, where a is a "magic" constant. (a) Use implicit differentiation to find the derivative of Pinocchio's nose length with respect to his lie count. Simplify your answer. (Hint: Use the fact that y = e Iny.) (b) Pinocchio experiences "magical balance" when his nose length equals the "magic" con- stant. If he is experiencing "magical balance" right now, what is the rate of change of his nose length with respect to his lie count when it is 6 inches long?

2. Pinocchio's nose length y (in inches) is dependent on his lie count s. Geppetto has modeled this phenomenon with the equation y = a, where a is a "magic" constant. (a) Use implicit differentiation to find the derivative of Pinocchio's nose length with respect to his lie count. Simplify your answer. (Hint: Use the fact that y = e Iny.) (b) Pinocchio experiences "magical balance" when his nose length equals the "magic" con- stant. If he is experiencing "magical balance" right now, what is the rate of change of his nose length with respect to his lie count when it is 6 inches long?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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