Explanation Given: c ( t ) = ( t 2 − 9 , t 2 − 8 t ) Calculation: Plot the function x ( t ) = t 2 − 9 Now in graph of x(t) we can see that 1) For t < 0 the function is decreasing. 2) For t > 0 the function is increasing. 3) For -3 > t > 3 the function is positive 4) For -3 < t < 3 the function is negative Plot the function y ( t ) = t 2 − 8 t

3rd Edition

ISBN: 9781464114885

Author: Jon Rogawski, Colin Adams

Publisher: W. H. Freeman

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Question

Chapter 11.1, Problem 61E

To determine

To show:The graph indicating direction of motion where $c (t) = (t^{2} - 9, t^{2} - 8 t)$ .

The interval of t values corresponding to the position of curve in each of the four quadrant.

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Chapter 11.1, Problem 60E

Chapter 11.1, Problem 62E

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Chapter 11 Solutions

Calculus: Early Transcendentals

Ch. 11.1 - Prob. 1PQ Ch. 11.1 - Prob. 2PQ Ch. 11.1 - Prob. 3PQ Ch. 11.1 - Prob. 4PQ Ch. 11.1 - Prob. 5PQ Ch. 11.1 - Prob. 6PQ Ch. 11.1 - Prob. 7PQ Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E

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The graph indicating direction of motion where c ( t ) = ( t 2 − 9 , t 2 − 8 t ) . The interval of t values corresponding to the position of curve in each of the four quadrant.

To show:The graph indicating direction of motion where c(t)=(t2−9,t2−8t). The interval of t values corresponding to the position of curve in each of the four quadrant.

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Chapter 11 Solutions

To show:The graph indicating direction of motion where $c (t) = (t^{2} - 9, t^{2} - 8 t)$ .

The interval of t values corresponding to the position of curve in each of the four quadrant.