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Math Calculus Calculus & Its Applications

37. Level of Water from Melting Snow Melting snow causes a river to overflow its banks. Let h ( t ) denotes the number of inches of water on Main Street t hours after the melting begins. If h ' ( 100 ) = 1 3 , by approximately how much water level change during the next half hour ? Which of the following two conditions is the better news? i) h ( 100 ) = 3 , h ' ( 100 ) = 2 , h ' ' ( 100 ) = − 5 ii) h ( 100 ) = 3 , h ' ( 100 ) = − 2 , h ' ' ( 100 ) = 5

37. Level of Water from Melting Snow Melting snow causes a river to overflow its banks. Let h ( t ) denotes the number of inches of water on Main Street t hours after the melting begins. If h ' ( 100 ) = 1 3 , by approximately how much water level change during the next half hour ? Which of the following two conditions is the better news? i) h ( 100 ) = 3 , h ' ( 100 ) = 2 , h ' ' ( 100 ) = − 5 ii) h ( 100 ) = 3 , h ' ( 100 ) = − 2 , h ' ' ( 100 ) = 5

Solution Summary: The author explains how to determine the change in water level from melting snow during the next half hour.

Calculus & Its Applications

Calculus & Its Applications

12th Edition

ISBN: 9780137590810

Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar, William Edward Tavernetti

Publisher: PEARSON

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Chapter 2.2, Problem 37E

37.

Level of Water from Melting Snow Melting snow causes a river to overflow its banks. Let h ( t ) denotes the number of inches of water on Main Street t hours after the melting begins.

If h ' ( 100 ) = 1 3 , by approximately how much water level change during the next half hour ?

Which of the following two conditions is the better news?

i) h ( 100 ) = 3 , h ' ( 100 ) = 2 , h ' ' ( 100 ) = − 5 ii) h ( 100 ) = 3 , h ' ( 100 ) = − 2 , h ' ' ( 100 ) = 5

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Chapter 2.2, Problem 36E

Chapter 2.2, Problem 38E

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Calculus & Its Applications

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Fill in each box of...Ch. 2.2 - The first and second derivatives of the function...Ch. 2.2 - Suppose that Fig. 20 contains the graph of y=s(t),...Ch. 2.2 - Suppose that Fig. 20 contains the graph of y=v(t),...Ch. 2.2 - 23. Refer to figure 21, Looking at the graph f(x),...Ch. 2.2 - In figure 22, the t axis represent the time in...Ch. 2.2 - 25. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 26. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 27. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 28. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 29. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 30. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 31. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - Prob. 32E Ch. 2.2 - 33. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 34. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 35. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - Prob. 36E Ch. 2.2 - 37. Level of Water from Melting Snow Melting snow...Ch. 2.2 - 38. 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