   Chapter 10, Problem 50RE

Chapter
Section
Textbook Problem

# Horizontal and Vertical Tangency In Exercises 49-52, find all points (if any) of horizontal and vertical tangency to the curve. L'se a graphing utility to confirm your results. x = t + 2 ,         y = t 3 − 2 t

To determine

To calculate: All the horizontal and vertical tangents to the curve x=t+2, y=t32t. Use graphing utility to confirm the results.

Explanation

Given:

The parametric equation is x=t+2, y=t32t.

Calculation: Consider the provided parametric equation:

x=t+2

y=t32t

Differentiating x and y with respect to t.

Then,

dxdt=ddt(t+2)=ddt(t)+ddt(2)=1

dydt=ddt(t32t)=ddt(t3)ddt(2t)=3t22

Here, dxdt cannot be zero.

So, there are no vertical tangents

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 