Explanation Given information: An equation of a line with slope − 1 that passes through the point ( 2 , 5 ) is y = − x + 7 . Concept used: The equation of a line of slope m through the point ( x 0 , y 0 ) is y − y 0 = m ( x − x 0 )

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 1, Problem 14SYU

To determine

Whether the given statement is true or false.

An equation of a line with slope −1 that passes through the point (2,5) is y=−x+7.

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Chapter 1, Problem 13SYU

Chapter 1, Problem 15SYU

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(b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Pro

Evaluate the integral using integration by parts. Sx² cos (9x) dx

Let f be defined as follows. y = f(x) = x² - 5x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 4 to x = 5 from x = 4 to x = 4.5 from x = 4 to x = 4.1 (b) Find the (instantaneous) rate of change of y at x = 4. Need Help? Read It Master It

Chapter 1 Solutions

APPLIED CALCULUS (WILEY PLUS)

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Whether the given statement is true or false. An equation of a line with slope − 1 that passes through the point ( 2 , 5 ) is y = − x + 7 .

Solution Summary: The author determines whether the given statement is true or false. An equation of a line with slope -1 passes through the point

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Whether the given statement is true or false.

An equation of a line with slope −1 that passes through the point (2,5) is y=−x+7.

Want to see the full answer?

Chapter 1 Solutions

Whether the given statement is true or false. An equation of a line with slope − 1 that passes through the point ( 2 , 5 ) is y = − x + 7 .

Solution Summary: The author determines whether the given statement is true or false. An equation of a line with slope -1 passes through the point

Concept explainers

Videos

Whether the given statement is true or false. An equation of a line with slope −1 that passes through the point (2,5) is y=−x+7.

Want to see the full answer?

Chapter 1 Solutions

Whether the given statement is true or false.

An equation of a line with slope −1 that passes through the point (2,5) is y=−x+7.