   Chapter 13.1, Problem 8E

Chapter
Section
Textbook Problem

# Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases.8. r(t) = ⟨t2 −1, t⟩

To determine

To sketch: the curve of vector equation r(t)=t21,t and indicate the direction of increment of t.

Explanation

Definition:

Consider a vector function as r(t)=f(t),g(t) , then parametric equations to plot space curve C are,

x=f(t)y=g(t)

Here,

f(t) and g(t) are component functions of r, and

x, and y are parametric equations of C.

From definition, write the parametric equations for vector function r(t)=t21,t .

x=t21y=t

Consider a certain interval of t as (2,2) to plot the vector equation

### 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

#### Show that sin-1(tanh x) = tan1(sinh x).

Single Variable Calculus: Early Transcendentals, Volume I

#### In Exercises 71 and 72, curl (curlF)=x(xF) F(x,y,z)=(xyz)i+yj+zk

Calculus: Early Transcendental Functions (MindTap Course List)

#### True or False: converges.

Study Guide for Stewart's Multivariable Calculus, 8th 