Chapter 10.3, Problem 26E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Finding an Equation of a Tangent Line In Exercises 23-26, (a) use a graphing utility to graph the curve represented by the parametric equations, (b) use a graphing utility to find d x / d t , d y / d t , and d y / d x at the given value of the parameter, (c) find an equation of the tangent line to the curve at the given value of the parameter, and (d) use a graphing utility to graph the curve and the tangent line from part (c).Parametric Equations Parameter x = 3 t − t 2 , y = 2 t 3 / 2 t = 1 4

a)

To determine

To Graph: The curve represented by the parametric equations x=3tt2&y=2t32.

Explanation

Given: x=3tâˆ’t2&y=2t32 & t=14.

x=3tâˆ’t2.....

b)

To determine

To Calculate: The value of dydx,dxdt,dydt at the given parameter by the use of graphing utility.

C)

To determine

To Calculate: The equation of tangent line to the curve at the given parameter.

d)

To determine

To Graph: The curve by the use of graphing utility & tangent line from part (c)

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