   Chapter 10.3, Problem 20E

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 , y = 1 t + 3 t = 1

a)

To determine

To Graph: The curve represented by parametric equations x=t2&y=1t+3.

Explanation

Given: x=t2&y=1t+3 and t=1

Graph:

x=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 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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