Explanation Given: The given function is y = 2 θ − sec θ . Calculation: Given: the given interval is [ 0 , π 3 ] . Use sum/ difference rule . ( f + g ) ' = f ' + g ' y = 2 θ − sec θ y ' = d d θ ( 2 θ ) + d d θ ( sec θ ) y ' = 2 + sec θ tan θ For critical point y ' = 0 . 2 + sec θ tan θ = 0 ⇒ 2 + 1 cos θ ⋅ sin θ cos θ = 0 ⇒ 2 + sin θ cos 2 θ = 0 ⇒ 2 cos 2 θ + sin θ cos 2 θ = 0 ⇒ 2 cos 2 θ + sin θ = 0 ⇒ 2 cos 2 θ = − sin θ ⇒ ( 2 cos 2 θ ) 2 = sin 2 θ ⇒ 2 cos 4 θ = sin 2 θ ⇒ 2 cos 4 θ − sin 2 θ = 0 ⇒ ( 2 cos 2 θ ) 2 − sin 2 θ = 0 ⇒ ( 2 cos 2 θ + sin θ ) ( 2 cos 2 θ − sin θ ) = 0 ⇒ 2 cos 2 θ + sin θ = 0 and ( 2 cos 2 θ − sin θ ) = 0 ⇒ 2 ( 1 − sin 2 θ ) + sin θ = 0 and ( 2 ( 1 − sin 2 θ ) − sin θ ) = 0 ⇒ 2 − 2 sin 2 θ + sin θ = 0 and 2 − 2 sin 2 θ − sin θ = 0 ⇒ 2 sin 2 </

ACHIEVE FOR CALCULUS 1 TERM >CSI CUSTOM<

4th Edition

ISBN: 9781319411657

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.2, Problem 49E

To determine

Find the minimum and maximum values of the given function in the given interval by comparing with critical and end points.

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Chapter 4.2, Problem 48E

Chapter 4.2, Problem 50E

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Chapter 4 Solutions

ACHIEVE FOR CALCULUS 1 TERM >CSI CUSTOM<

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Prob. 3E Ch. 4.8 - Prob. 4E Ch. 4.8 - Prob. 5E Ch. 4.8 - Prob. 6E Ch. 4.8 - Prob. 7E Ch. 4.8 - Prob. 8E Ch. 4.8 - Prob. 9E Ch. 4.8 - Prob. 10E Ch. 4.8 - Prob. 11E Ch. 4.8 - Prob. 12E Ch. 4.8 - Prob. 13E Ch. 4.8 - Prob. 14E Ch. 4.8 - Prob. 15E Ch. 4.8 - Prob. 16E Ch. 4.8 - Prob. 17E Ch. 4.8 - Prob. 18E Ch. 4.8 - Prob. 19E Ch. 4.8 - Prob. 20E Ch. 4.8 - Prob. 21E Ch. 4.8 - Prob. 22E Ch. 4.8 - Prob. 23E Ch. 4.8 - Prob. 24E Ch. 4.8 - Prob. 25E Ch. 4.8 - Prob. 26E Ch. 4.8 - Prob. 27E Ch. 4.8 - Prob. 28E Ch. 4.8 - Prob. 29E Ch. 4.8 - Prob. 30E Ch. 4.8 - Prob. 31E Ch. 4.8 - Prob. 32E Ch. 4.8 - Prob. 33E Ch. 4.8 - Prob. 34E Ch. 4.8 - Prob. 35E Ch. 4.8 - Prob. 36E Ch. 4.8 - Prob. 37E Ch. 4.8 - Prob. 38E Ch. 4.8 - Prob. 39E Ch. 4.8 - Prob. 40E Ch. 4.8 - Prob. 41E Ch. 4 - Prob. 1CRE Ch. 4 - Prob. 2CRE Ch. 4 - Prob. 3CRE Ch. 4 - Prob. 4CRE Ch. 4 - Prob. 5CRE Ch. 4 - Prob. 6CRE Ch. 4 - Prob. 7CRE Ch. 4 - Prob. 8CRE Ch. 4 - Prob. 9CRE Ch. 4 - Prob. 10CRE Ch. 4 - Prob. 11CRE Ch. 4 - Prob. 12CRE Ch. 4 - 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Prob. 63CRE Ch. 4 - Prob. 64CRE Ch. 4 - Prob. 65CRE Ch. 4 - Prob. 66CRE Ch. 4 - Prob. 67CRE Ch. 4 - Prob. 68CRE Ch. 4 - Prob. 69CRE Ch. 4 - Prob. 70CRE Ch. 4 - Prob. 71CRE Ch. 4 - Prob. 72CRE Ch. 4 - Prob. 73CRE Ch. 4 - Prob. 74CRE Ch. 4 - Prob. 75CRE Ch. 4 - Prob. 76CRE Ch. 4 - Prob. 77CRE Ch. 4 - Prob. 78CRE Ch. 4 - Prob. 79CRE Ch. 4 - Prob. 80CRE Ch. 4 - Prob. 81CRE Ch. 4 - Prob. 82CRE Ch. 4 - Prob. 83CRE Ch. 4 - Prob. 84CRE Ch. 4 - Prob. 85CRE Ch. 4 - Prob. 86CRE Ch. 4 - Prob. 87CRE Ch. 4 - Prob. 88CRE Ch. 4 - Prob. 89CRE

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Find the minimum and maximum values of the given function in the given interval by comparing with critical and end points.

Solution Summary: The author calculates the minimum and maximum values of a given function in the given interval by comparing with critical and end points.

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Find the minimum and maximum values of the given function in the given interval by comparing with critical and end points.

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Chapter 4 Solutions