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xy versus yx Consider positive real numbers x and y.

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 90AE Chapter 10.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 90AE

xy versus yx Consider positive real numbers x and y. Notice that 43<34, while 32 > 23, and 42 = 24. Describe the regions in the first quadrant of the xy-plane in which xy > yx and xy<yx. (Hint:Find a parametric description of the curve that separates the two regions.)

Step-by-Step Solution:
Step 2 of 4

Solution  90AE

Consider the region  shown in the figure (1):

Consider the region  shown in the figure (2):

Notice that  while  and

So by observing the conditions  while conclude that

And the curve separates the two regions  and

And clearly we know that is true when

The parametric representation for the line is

Also the parametric representation for the remaining part of the graph of the equation is,

Also there is a hole at the point, so doesn’t include the point in the parametrization.

The complete curve can be represented by

 

Step 4 of 4</p>

The graph of the curve  and the two regions  and are shown in the figure 3:

 

Step 3 of 4

Chapter 10.1, Problem 90AE is Solved
Step 4 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The full step-by-step solution to problem: 90AE from chapter: 10.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 90AE from 10.1 chapter was answered, more than 248 students have viewed the full step-by-step answer. The answer to “xy versus yx Consider positive real numbers x and y. Notice that 43<34, while 32 > 23, and 42 = 24. Describe the regions in the first quadrant of the xy-plane in which xy > yx and xy<yx. (Hint:Find a parametric description of the curve that separates the two regions.)” is broken down into a number of easy to follow steps, and 50 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: regions, Parametric, describe, description, Find. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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