(a) Explanation Given information: The equation: ln x = 3 − 2 x Proof: ln x = 3 − 2 x ln x + 2 x − 3 = 0 Consider the function f ( x ) = ln x + 2 x − 3 Note that: lim x → − ∞ f ( x ) = lim x → 0 + ln x + 2 x − 3 (b) To determine To find: an interval of length 0.01 that contains a root.

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Question

Chapter 2.5, Problem 46E

(a)

To determine

To prove: ln x=3−2x has at least one real root.

(b)

To determine

To find: an interval of length 0.01 that contains a root.

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Chapter 2.5, Problem 45E

Chapter 2.5, Problem 47E

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A 10-ft boom is acted upon by the 810-lb force as shown in the figure. D 6 ft 6 ft E B 7 ft C 6 ft 4 ft W Determine the tension in each cable and the reaction at the ball-and-socket joint at A. The tension in cable BD is lb. The tension in cable BE is lb. The reaction at A is ( lb) i + Ib) j. (Include a minus sign if necessary.)

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Chapter 2 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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To prove: ln x = 3 − 2 x has at least one real root.

Solution Summary: The author explains that lnx=3-2x has at least one real root. The root lies between 1.34 and 1.35.