/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 52 Determine whether each statement... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Problem 52

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I graphed \(2 x^{2}-3 y^{2}+6 y+4=0\) by using the procedure for writing the equation of a rotated conic in standard form.

Short Answer

Expert verified
The statement does not make sense because the equation \(2 x^{2}-3 y^{2}+6 y+4=0\) doesn't represent a rotated conic. Thus, using a procedure for rotating a conic to graph it is incorrect.

Step by step solution

01

Identify the Given Equation

The first step is to inspect the equation \(2 x^{2}-3 y^{2}+6 y+4=0\). The variables are not mixed (i.e. there's no term like x*y), therefore it doesn't appear to be a rotated conic. Instead, the equation appears to be in a general form of a conic which can represent an ellipse, parabola or hyperbola, but not a rotated one.
02

Assess the Statement

Since the given equation doesn't appear to be a rotated conic, trying to graph it using the procedure for rotating a conic wouldn't make sense. Consequently, the statement doesn't make sense because the wrong procedure was used to graph the equation.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Identify the conic that each polar equation represents. Then use a graphing utility to graph the equation. $$ r=\frac{16}{4-3 \cos \theta} $$

Describe a viewing rectangle, or window, such as [-30, 30, 3] by [-8, 4, 1], that shows a complete graph of each polar equation and minimizes unused portions of the screen. $$ r=\frac{15}{3-2 \cos \theta} $$

In Exercises \(61-66,\) find the solution set for each system by graphing both of the system's equations in the same rectangular coordinate system and finding points of intersection. Check all solutions in both equations. $$ \left\\{\begin{array}{r} {x^{2}+y^{2}=25} \\ {25 x^{2}+y^{2}=25} \end{array}\right. $$

Describe a viewing rectangle, or window, such as [-30, 30, 3] by [-8, 4, 1], that shows a complete graph of each polar equation and minimizes unused portions of the screen. $$ r=\frac{16}{3+5 \cos \theta} $$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I graphed a conic in the form \(r=\frac{2 p}{1-e \cos \theta}\) that was symmetric with respect to the \(y\) -axis.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.