Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

4th Edition

ISBN: 9780134686974

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

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A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

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Textbook Question

Chapter 9.7, Problem 58AYU

Uniform Motion A Cessna (heading south at 120 mph ) and a Boeing 747 (heading west at 600 mph) are flying toward the same point at the same altitude. The Cessna 100 miles from the point where the flight pattern intersect, and the 747 is 550 miles from this intersection point. See the figure.

Chapter 9.7, Problem 58AYU, Uniform Motion A Cessna (heading south at 120 mph ) and a Boeing 747 (heading west at 600 mph) are

Find parametric equations that model the motion of the Cessna and the 747.
Find a formula for the distance between the planes as the function of time.
Graph the function in part (b) using a graphing utility.
What is the minimum distance between the planes? When are the planes closest?
Simulate the motion of the planes by simultaneously graphing the equations found is part (a).

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Chapter 9.7, Problem 57AYU

Chapter 9.7, Problem 59AYU

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Chapter 9 Solutions

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

Ch. 9.2 - The formula for the distance d from P 1 =( x 1 , y...Ch. 9.2 - To complete the square of x 2 4x , add_______...Ch. 9.2 - Use the Square Root Method to find the real...Ch. 9.2 - The point that is symmetric with respect to the...Ch. 9.2 - To graph , shift the graph of to the...Ch. 9.2 - A(n)_______ is the collection of all point in a...Ch. 9.2 - True or false The line through the focus and...Ch. 9.2 - For the parabola , the line segment joining the...Ch. 9.2 - Answer Problems 9-12 using the figure. If , the...Ch. 9.2 - Answer Problems 9-12 using the figure. The...

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Solution Summary: The author calculates the parametric equations that model the motion of the Cessna and the 747.

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