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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 10.4 - Problem 67e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 10.4 - Problem 67e

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# 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

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Problem 67E

Determine whether the following statements are true and given an explanation or counterexample.

a. The hyperbola $$x^2/4-y^2/9=1$$ 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.

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##### 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 379 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 “?Determine whether the following statements are true and given an explanation or counterexample.a. The hyperbola $$x^2/4-y^2/9=1$$ 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 71 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 112 chapters, and 5248 solutions.

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