×
×

# Explain why or why not Determine whether the | Ch 10.4 - 67E ISBN: 9780321570567 2

## Solution for problem 67E Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Calculus: Early Transcendentals | 1st Edition

4 5 1 329 Reviews
26
5
Problem 67E

Explain why or why not Determine whether the following statements arc true and give an explanation or counterexample.a. The hyperbola x2/4 ? y2/9 = 1 has no y-intercepts.b. On every ellipse, there are exactly two points at which the curve has slope s, where s is any real number.c. Given the directrices and foci of a standard hyperbola, it is possible to find its vertices, eccentricity, and asymptotes.d. The point on a parabola closest to the focus is the vertex.

Step-by-Step Solution:

Solution 67EStep 1 of 4:In this problem we need to explain whether the following statements are true or not.a. The hyperbola has no y-intercepts.The given statement is true.Given: To find y-intercept, substitute 0 in x and solve for y. (which is impossible, since square term will always be positive)Therefore the hyperbola has no y-intercepts.Step 2 of 4:b. On every ellipse, there are exactly two points at which the curve has slope s, where s is any real number.The given statement is true.For example, for ellipse Vertices are Tangents at these points will be obviously and makes an angle of 90 degrees with the radius there.This is because for vertices in the major axis, and in the minor axis, (because of maximum and minimum)Thus on every ellipse, there are exactly two points at which the curve has slope s, where s is any real number.

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 67E from 10.4 chapter was answered, more than 238 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Explain why or why not Determine whether the following statements arc true and give an explanation or counterexample.a. The hyperbola x2/4 ? y2/9 = 1 has no y-intercepts.b. On every ellipse, there are exactly two points at which the curve has slope s, where s is any real number.c. Given the directrices and foci of a standard hyperbola, it is possible to find its vertices, eccentricity, and asymptotes.d. The point on a parabola closest to the focus is the vertex.” is broken down into a number of easy to follow steps, and 80 words. The full step-by-step solution to problem: 67E from chapter: 10.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: hyperbola, give, asymptotes, closest, Counterexample. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

Unlock Textbook Solution