menu
Hit Return to see all results
Chapter 10.1, Problem 43E
BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Solutions

Chapter
Section
BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Finding the Standard Equation of a Hyperbola In Exercises 41–48, find the standard form of the equation of the hyperbola with the given characteristics. Vertices: ( 2,   ±3 ) Point   on   graph: ( 0 ,   5 )

To determine

To calculate: The equation of hyperbola with the characteristics vertex is (2,±3) and point on the graph is (0,5).

Explanation

Given:

The characteristics for a hyperbola with vertex at (2,Â±3) and point on the graph is (0,5).

Formula used:

The standard equation of the hyperbola is,

(yâˆ’k)2a2âˆ’(xâˆ’h)2b2=1

Calculation:

Since the given equation has y changing vertices in it,

Therefore, itâ€™s a hyperbola of the second type (i.e. where the transverse axis is the yâˆ’axis)

Now, the mid-point of both the vertices gives us the centre of the hyperbola is (2,0) and the distance from centre to the vertex is 3 such that a2=9

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

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Find the mean for the following set of scores: 2, 7, 9, 4, 5, 3, 0, 6

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 25-30, find the rules for the composite functions f g and g f. 30. f(x)=x+1;g(x)=1x1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In Problems 39 â€“ 44, solve each inequality and graph the solution. 43.

Mathematical Applications for the Management, Life, and Social Sciences

Change 85 cm3 to mL.

Elementary Technical Mathematics

In Exercise 724, Compute the indicated products. 4[120211301][131140012]

Finite Mathematics for the Managerial, Life, and Social Sciences