   Chapter 10.3, Problem 21E

Chapter
Section
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 = t 2 − t + 2 , y = t 3 − 3 t t = − 1

a)

To determine

To Graph: The curve represented by the parametric equations x=t2t+2&y=t33t.

Explanation

Given: x=t2t+2&y=t33t & t=1.

x=t2t+2

b)

To determine

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

C)

To determine
The equation of the tangent line to the curve at given value of parameter.

d)

To determine

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

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