(a) Explanation Calculation: The parametric equation is x = ( t + 1 ) 2 , y = t + 2 ; − 10 ≤ t ≤ 10 . Use y = t + 2 and calculate the value of t in terms of y as follows, y = t + 2 t = y − 2 if t = − 10 then y = − 8 if t = 10 then y = 12 Hence, t = y − 2 ; − 8 ≤ y ≤ 12 (b) To determine To describe: The curve whose parametric equation is defined as, x = ( t + 1 ) 2 , y = t + 2 ; − 10 ≤ t ≤ 10 .

Calculus, Single Variable: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134766850

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

See similar textbooks

Concept explainers

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magn…

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.

Question

Chapter 12.1, Problem 18E

(a)

To determine

To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation x=(t+1)2,y=t+2;−10≤t≤10.

(b)

To determine

To describe: The curve whose parametric equation is defined as, x=(t+1)2,y=t+2;−10≤t≤10.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.1, Problem 17E

Chapter 12.1, Problem 19E

Students have asked these similar questions

Find the general solution to the differential equation

charity savings Budget for May travel food Peter earned $700 during May. The graph shows how the money was used. What fraction was clothes? O Search Submit clothes leisure

Exercise 11.3 A slope field is given for the equation y' = 4y+4. (a) Sketch the particular solution that corresponds to y(0) = −2 (b) Find the constant solution (c) For what initial conditions y(0) is the solution increasing? (d) For what initial conditions y(0) is the solution decreasing? (e) Verify these results using only the differential equation y' = 4y+4.

Chapter 12 Solutions

Calculus, Single Variable: Early Transcendentals (3rd Edition)

Ch. 12.1 - Identify the graph generated by the parametric...Ch. 12.1 - Prob. 2QC Ch. 12.1 - Prob. 3QC Ch. 12.1 - Prob. 4QC Ch. 12.1 - Prob. 5QC Ch. 12.1 - Prob. 6QC Ch. 12.1 - Explain how a pair of parametric equations...Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation x = ( t + 1 ) 2 , y = t + 2 ; − 10 ≤ t ≤ 10 .

Solution Summary: The author explains how to obtain the equation in terms of x and y by eliminating the parameter t in the parametric equation.

Concept explainers

To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation x=(t+1)2,y=t+2;−10≤t≤10.

To describe: The curve whose parametric equation is defined as, x=(t+1)2,y=t+2;−10≤t≤10.

Want to see the full answer?

Chapter 12 Solutions