14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

Concept explainers

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.

Derivatives

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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Question

Chapter 3.4, Problem 17S

(a)

To determine

To find: The global extremes of the function f over the given interval.

(b)

To determine

To find: The global extremes of the function f over the given interval.

(c)

To determine

To find: The global extremes of the function f over the given interval.

(d)

To determine

To find: The global extremes of the function f over the given interval.

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Chapter 3.4, Problem 16S

Chapter 3.4, Problem 18S

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Chapter 3 Solutions

Calculus Combo

Ch. 3.1 - Prob. 1TB Ch. 3.1 - Prob. 0C Ch. 3.1 - Prob. 1C Ch. 3.1 - Prob. 2C Ch. 3.1 - Prob. 3C Ch. 3.1 - Prob. 4C Ch. 3.1 - Prob. 5C Ch. 3.1 - Prob. 6C Ch. 3.1 - Prob. 7C Ch. 3.1 - Prob. 8C

Ch. 3.1 - Prob. 9C Ch. 3.1 - Prob. 10C Ch. 3.1 - Prob. 11C Ch. 3.1 - Prob. 12C Ch. 3.1 - Prob. 13C Ch. 3.1 - Prob. 14C Ch. 3.1 - Prob. 15C Ch. 3.1 - Prob. 16C Ch. 3.1 - Prob. 17C Ch. 3.1 - Prob. 18C Ch. 3.1 - Prob. 19C Ch. 3.1 - Prob. 20C Ch. 3.1 - Prob. 21C Ch. 3.1 - Prob. 22C Ch. 3.1 - Prob. 23S Ch. 3.1 - Prob. 24S Ch. 3.1 - Prob. 25S Ch. 3.1 - Prob. 26S Ch. 3.1 - Prob. 27S Ch. 3.1 - Prob. 28S Ch. 3.1 - Prob. 29S Ch. 3.1 - Prob. 30S Ch. 3.1 - Prob. 31S Ch. 3.1 - Prob. 32S Ch. 3.1 - Prob. 33S Ch. 3.1 - Prob. 34S Ch. 3.1 - Prob. 35S Ch. 3.1 - Prob. 36S Ch. 3.1 - Prob. 37S Ch. 3.1 - Prob. 38S Ch. 3.1 - Prob. 39S Ch. 3.1 - Prob. 40S Ch. 3.1 - Prob. 41S Ch. 3.1 - Prob. 42S Ch. 3.1 - Prob. 43S Ch. 3.1 - Prob. 44S Ch. 3.1 - Prob. 45S Ch. 3.1 - Prob. 46S Ch. 3.1 - Prob. 47S Ch. 3.1 - Prob. 48S Ch. 3.1 - Prob. 49S Ch. 3.1 - Prob. 50S Ch. 3.1 - Prob. 51S Ch. 3.1 - Prob. 52S Ch. 3.1 - Prob. 53S Ch. 3.1 - Prob. 54S Ch. 3.1 - Prob. 55S Ch. 3.1 - Prob. 56S Ch. 3.1 - Prob. 57S Ch. 3.1 - Prob. 58S Ch. 3.1 - 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Prob. 79S Ch. 3.2 - Prob. 80S Ch. 3.2 - Prob. 81S Ch. 3.2 - Prob. 82S Ch. 3.2 - Prob. 83A Ch. 3.2 - Prob. 84A Ch. 3.2 - Prob. 85A Ch. 3.2 - Prob. 86A Ch. 3.2 - Prob. 87P Ch. 3.2 - Prob. 88P Ch. 3.2 - Prob. 89P Ch. 3.2 - Prob. 90P Ch. 3.2 - Prob. 91P Ch. 3.2 - Prob. 92P Ch. 3.2 - Prob. 1TF Ch. 3.2 - Prob. 2TF Ch. 3.3 - Prob. 1TB Ch. 3.3 - Prob. 2TB Ch. 3.3 - Prob. 0C Ch. 3.3 - Prob. 1C Ch. 3.3 - Prob. 2C Ch. 3.3 - Prob. 3C Ch. 3.3 - Prob. 4C Ch. 3.3 - Prob. 5C Ch. 3.3 - Prob. 6C Ch. 3.3 - Prob. 7C Ch. 3.3 - Prob. 8C Ch. 3.3 - Prob. 9C Ch. 3.3 - Prob. 10C Ch. 3.3 - Prob. 11C Ch. 3.3 - Prob. 12C Ch. 3.3 - Prob. 13C Ch. 3.3 - Prob. 14C Ch. 3.3 - Prob. 15C Ch. 3.3 - Prob. 16C Ch. 3.3 - Prob. 17C Ch. 3.3 - Prob. 18C Ch. 3.3 - Prob. 19C Ch. 3.3 - Prob. 20C Ch. 3.3 - Prob. 21S Ch. 3.3 - Prob. 22S Ch. 3.3 - Prob. 23S Ch. 3.3 - Prob. 24S Ch. 3.3 - Prob. 25S Ch. 3.3 - Prob. 26S Ch. 3.3 - Prob. 27S Ch. 3.3 - Prob. 28S Ch. 3.3 - Prob. 29S Ch. 3.3 - Prob. 30S Ch. 3.3 - Prob. 31S Ch. 3.3 - Prob. 32S Ch. 3.3 - Prob. 33S Ch. 3.3 - Prob. 34S Ch. 3.3 - Prob. 35S Ch. 3.3 - Prob. 36S Ch. 3.3 - Prob. 37S Ch. 3.3 - Prob. 38S Ch. 3.3 - Prob. 39S Ch. 3.3 - Prob. 40S Ch. 3.3 - Prob. 41S Ch. 3.3 - Prob. 42S Ch. 3.3 - Prob. 43S Ch. 3.3 - Prob. 44S Ch. 3.3 - Prob. 45S Ch. 3.3 - Prob. 46S Ch. 3.3 - Prob. 47S Ch. 3.3 - Prob. 48S Ch. 3.3 - Prob. 49S Ch. 3.3 - Prob. 50S Ch. 3.3 - Prob. 51S Ch. 3.3 - Prob. 52S Ch. 3.3 - Prob. 53S Ch. 3.3 - Prob. 54S Ch. 3.3 - Prob. 55S Ch. 3.3 - Prob. 56S Ch. 3.3 - Prob. 57S Ch. 3.3 - Prob. 58S Ch. 3.3 - Prob. 59S Ch. 3.3 - Prob. 60S Ch. 3.3 - Prob. 61S Ch. 3.3 - Prob. 62S Ch. 3.3 - Prob. 63S Ch. 3.3 - Prob. 64S Ch. 3.3 - Prob. 65S Ch. 3.3 - Prob. 66S Ch. 3.3 - Prob. 67S Ch. 3.3 - Prob. 68S Ch. 3.3 - Prob. 69S Ch. 3.3 - Prob. 70S Ch. 3.3 - Prob. 71S Ch. 3.3 - Prob. 72S Ch. 3.3 - Prob. 73S Ch. 3.3 - Prob. 74S Ch. 3.3 - Prob. 75S Ch. 3.3 - Prob. 76S Ch. 3.3 - Prob. 77S Ch. 3.3 - Prob. 78S Ch. 3.3 - Prob. 79S Ch. 3.3 - Prob. 80S Ch. 3.3 - Prob. 81S Ch. 3.3 - Prob. 82S Ch. 3.3 - 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Prob. 34S Ch. 3.4 - Prob. 35A Ch. 3.4 - Prob. 36A Ch. 3.4 - Prob. 37A Ch. 3.4 - Prob. 38A Ch. 3.4 - Prob. 39A Ch. 3.4 - Prob. 40A Ch. 3.4 - Prob. 41A Ch. 3.4 - Prob. 42A Ch. 3.4 - Prob. 43A Ch. 3.4 - Prob. 44A Ch. 3.4 - Prob. 45A Ch. 3.4 - Prob. 46A Ch. 3.4 - Prob. 47A Ch. 3.4 - Prob. 48A Ch. 3.4 - Prob. 49A Ch. 3.4 - Prob. 50A Ch. 3.4 - Prob. 51A Ch. 3.4 - Prob. 52A Ch. 3.4 - Prob. 53A Ch. 3.4 - Prob. 54A Ch. 3.4 - Prob. 55A Ch. 3.4 - Prob. 56A Ch. 3.4 - Prob. 57A Ch. 3.4 - Prob. 58A Ch. 3.4 - Prob. 59A Ch. 3.4 - Prob. 60A Ch. 3.4 - Prob. 61A Ch. 3.4 - Prob. 62A Ch. 3.4 - Prob. 63P Ch. 3.4 - Prob. 64P Ch. 3.4 - Prob. 1TF Ch. 3.4 - Prob. 2TF Ch. 3.4 - Prob. 3TF Ch. 3.4 - Prob. 4TF Ch. 3.4 - Prob. 5TF Ch. 3.5 - Prob. 1TB Ch. 3.5 - Prob. 2TB Ch. 3.5 - Prob. 0C Ch. 3.5 - Prob. 1C Ch. 3.5 - Prob. 2C Ch. 3.5 - Prob. 3C Ch. 3.5 - Prob. 4C Ch. 3.5 - Prob. 5C Ch. 3.5 - Prob. 6C Ch. 3.5 - Prob. 7C Ch. 3.5 - Prob. 8C Ch. 3.5 - Prob. 9C Ch. 3.5 - Prob. 10C Ch. 3.5 - Prob. 11C Ch. 3.5 - Prob. 12C Ch. 3.5 - 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Prob. 19SC Ch. 3 - Prob. 20SC Ch. 3 - Prob. 21SC Ch. 3 - Prob. 22SC Ch. 3 - Prob. 23SC Ch. 3 - Prob. 24SC Ch. 3 - Prob. 25SC Ch. 3 - Prob. 26SC Ch. 3 - Prob. 27SC Ch. 3 - Prob. 28SC Ch. 3 - Prob. 29SC Ch. 3 - Prob. 30SC Ch. 3 - Prob. 31SC Ch. 3 - Prob. 32SC Ch. 3 - Prob. ACP Ch. 3 - Prob. BCP Ch. 3 - Prob. CCP Ch. 3 - Prob. DCP

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The global extremes of the function f over the given interval.

Solution Summary: The graph of the function is shown below. The global maxima at x=4 and no global minima exist.

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To find: The global extremes of the function f over the given interval.

To find: The global extremes of the function f over the given interval.

To find: The global extremes of the function f over the given interval.

To find: The global extremes of the function f over the given interval.

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Chapter 3 Solutions