Explanation Given: y 2 − 9 x 2 = 9 Formula used: Center Transverse axis Foci Vertices Equation Asymptotes ( 0 , 0 ) y -axis ( 0 , ± c ) ( 0 , ± a ) y 2 a 2 - x 2 b 2 = 1 ; b 2 = c 2 - a 2 x = ± a b y Calculation: Consider the given equation y 2 − 9 x 2 = 9 . Rewriting the equation y 2 9 - x 2 1 = 1 ... To determine b. To graph: The equation y 2 9 - x 2 1 = 1 .

Precalculus Enhanced with Graphing Utilities (7th Edition)

7th Edition

ISBN: 9780134119281

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 10.4, Problem 33SB

To determine

a.

To find: Center, transverse axis, vertices, foci and asymptotes.

To determine

b.

To graph: The equation $\frac{y^{2}}{9} - \frac{x^{2}}{1} = 1$ .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10.4, Problem 32SB

Chapter 10.4, Problem 34SB

Students have asked these similar questions

3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a function ƒ : [-T,π] → R such that fn n∞. Further, show that fn →f uniformly on [-π,π] as n → ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7, 7]? Justify your answer. [10 Marks]

1. (i) Give the definition of a metric on a set X. [5 Marks] (ii) Let X = {a, b, c} and let a function d : XxX → [0, ∞) be defined as d(a, a) = d(b,b) = d(c, c) 0, d(a, c) = d(c, a) 1, d(a, b) = d(b, a) = 4, d(b, c) = d(c,b) = 2. Decide whether d is a metric on X. Justify your answer. = (iii) Consider a metric space (R, d.), where = [10 Marks] 0 if x = y, d* (x, y) 5 if xy. In the metric space (R, d*), describe: (a) open ball B2(0) of radius 2 centred at 0; (b) closed ball B5(0) of radius 5 centred at 0; (c) sphere S10 (0) of radius 10 centred at 0. [5 Marks] [5 Marks] [5 Marks]

(c) sphere S10 (0) of radius 10 centred at 0. [5 Marks] 2. Let C([a, b]) be the metric space of continuous functions on the interval [a, b] with the metric doo (f,g) = max f(x)g(x)|. xЄ[a,b] = 1x. Find: Let f(x) = 1 - x² and g(x): (i) do(f, g) in C'([0, 1]); (ii) do(f,g) in C([−1, 1]). [20 Marks] [20 Marks]

Chapter 10 Solutions

Precalculus Enhanced with Graphing Utilities (7th Edition)

Ch. 10.2 - The formula for the distance d from P 1 =( x 1 , y...Ch. 10.2 - To complete the square of x 2 4x , add_______...Ch. 10.2 - Use the Square Root Method to find the real...Ch. 10.2 - The point that is symmetric with respect to the...Ch. 10.2 - To graph y= ( x3 ) 2 +1 , shift the graph of y= x...Ch. 10.2 - A( n ) _____ is the collection of all points in a...Ch. 10.2 - The line through the focus and perpendicular to...Ch. 10.2 - For the parabola y 2 =4ax , the line segment...Ch. 10.2 - Answer Problems 9-12 using the figure. If a0 , the...Ch. 10.2 - Answer Problems 9-12 using the figure. The...

Additional Math Textbook Solutions

Find more solutions based on key concepts

A categorical variable has three categories, with the following frequencies of occurrence: a. Compute the perce...

Basic Business Statistics, Student Value Edition

If n is a counting number, bn, read______, indicates that there are n factors of b. The number b is called the_...

Algebra and Trigonometry (6th Edition)

z Scores. In Exercises 5-8, express all z scores with two decimal places. 8. Plastic Waste Data Set 31 “Garbage...

Elementary Statistics (13th Edition)

2. Source of Data In conducting a statistical study, why is it important to consider the source of the data?

Elementary Statistics

theexpression 9x+8y .

Pre-Algebra Student Edition

Snow Depth (Example 3) Eric wants to go skiing tomorrow, but only if there are 3 inches or more of new snow. Ac...

Introductory Statistics

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.

a. To find: Center, transverse axis, vertices, foci and asymptotes.

Solution Summary: The author explains how to find the center, transverse axis, vertices and asymptotes in the equation y 2 9 x 2 = 9.