Explanation y = 3 x 2 , y = 27 : ( y = 27 , x = 3 y = 27 , x = − 3 ) Solve y = 27 : y = 27 Plug the solutions y = 27 into y = 3 x 2 For y = 3 x 2 , subsitute y with 27 : x = 3 , x = − 3 For y = 3 x 2 , subsitute y with 27 27 = 3 x 2 Solve 27 = 3 x 2 : x = 3 , x = − 3 27 = 3 x 2 Switch sides 3 x 2 = 27 Divide both sides by 3 3 x 2 3 = 27 3 3 x 2 3 = 27 3 Simplify x 2 = 9 For x 2 = f ( a ) the solutions are x = f ( a ) , − f ( a ) x = 9 , x = − 9 9 = 3 9 Factor the number : 9 = 3 2 = 3 2 Apply radical rule : a n n = a 3 2 = 3 = 3 − 9 = − 3 − 9

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

See similar textbooks

Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Videos

Question

Chapter 13.6, Problem 20E

To determine

$y = 3 x^{2}, y = 27$

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.6, Problem 19E

Chapter 13.6, Problem 21E

Students have asked these similar questions

48. f(x) = { 4 x if x < 2 2x 2 if x 2

Г 49. -x+1 if x 1 Answer ->

A Content X MindTap - Cengage Learning x Function Evaluations x + /ui/evo/index.html?elSBN=9780357038406&id=339416021&snapshotld=877369& GE MINDTAP , Limits, and the Derivative ⭑ វា a ANSWEI 16. Refer to the graph of the function f in the following figure. कर्ट AA C 54 -3-2 7 7 Ay 6. S 5. y=f(x) 4 3. 2. 1 -3- 34567 8 00 9 10 a. Find the value of ƒ (7). b. Find the values of x corresponding to the point(s) on the graph of ƒ located at a height of 5 units from the x-axis. c. Find the point on the x-axis at which the graph of ƒ crosses it. What is the value of f (x) at this point? d. Find the domain and range of f. MacBook Pro G Search or type URL + > % Λ & 5 6 7 29 ( 8 9 0

Chapter 13 Solutions

Calculus - Standalone book

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - 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.

y = 3 x 2 , y = 27

Solution Summary: The author explains how to solve y = 3 x 2. They then plug the solutions into the original equations.

Concept explainers

Videos

y=3x2, y=27

Want to see the full answer?

Chapter 13 Solutions

$y = 3 x^{2}, y = 27$