Answered: a)lim…

a)lim (e^-x)(x^2+sinh(x+2)) x->∞ b) Find the point where the tangent to the curve defined by the parametric equations x=t^4-2t^2, y=3t^4-4t^3, 0

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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Question

a)lim

(e^-x)(x^2+sinh(x+2))

x->∞

b) Find the point where the tangent to the curve defined by the parametric equations

x=t^4-2t^2, y=3t^4-4t^3, 0<t≤4

has a slope of 2.

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Step 1: Introduction

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Step 2: Evaluating the Limit

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Step 3: Evaluating the other limits

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Step 4: Solving part b

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Step 5: finding the derivative of given parametric equations

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Step 6: Finding the required point (x,y)

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