Explanation Given information: The given function is y = f ( x ) = x 4 − 41 x 2 + 400 Calculation: For x − intercepts ⇒ y = 0 ⇒ x 4 − 41 x 2 + 400 = 0 Put x 2 = t then t 2 − 41 t + 400 = 0 ⇒ t 2 − 25 t − 16 t + 400 = 0 ⇒ t ( t − 25 ) − 16 ( t − 25 ) = 0

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 1.4, Problem 45PS

To determine

To calculate:the x- intercepts of the given function.

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Chapter 1.4, Problem 44PS

Chapter 1.4, Problem 46PS

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Chapter 1 Solutions

Calculus

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the x- intercepts of the given function.

Solution Summary: The author calculates the x- intercepts of the given function.

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To calculate:the x- intercepts of the given function.

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Chapter 1 Solutions