A womn participating in a triathln can run 11 ft/sc and swim 3 ft/sec. She is at point A 900 ft from a sraight shorline and must swim to shore and run to point B, 3000 ft down the beach. 000n 3000 a. Write an expression representing the total time t (in seconds) for her to get from point A to point B as a function of 8. b. Use the TABLE function on a calculator to find the time t for 8 = 0", 5°, 10, 15°, 20°, and 25°, Round to 1 decimal place. C Which angle from part (b) gives the shortest total time? d. Using calculus, we can show that the angle needed to minimize the total time is a solution to the equation 300sect tan - degree. 900 stea Solve the equation for e, where 0 < e< 90°. Round to the nearest tenth of a 11
A womn participating in a triathln can run 11 ft/sc and swim 3 ft/sec. She is at point A 900 ft from a sraight shorline and must swim to shore and run to point B, 3000 ft down the beach. 000n 3000 a. Write an expression representing the total time t (in seconds) for her to get from point A to point B as a function of 8. b. Use the TABLE function on a calculator to find the time t for 8 = 0", 5°, 10, 15°, 20°, and 25°, Round to 1 decimal place. C Which angle from part (b) gives the shortest total time? d. Using calculus, we can show that the angle needed to minimize the total time is a solution to the equation 300sect tan - degree. 900 stea Solve the equation for e, where 0 < e< 90°. Round to the nearest tenth of a 11
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A womn participating in a triathln can run 11 ft/sc and swim 3 ft/sec. She is at point A 900 ft from a sraight shorline and must swim to shore and run to point B, 3000 ft down the beach.
000n
3000
a. Write an expression representing the total time t (in seconds) for her to get from point A to point B as a function of 8.
b. Use the TABLE function on a calculator to find the time t for 8 = 0", 5°, 10, 15°, 20°, and 25°, Round to 1 decimal place.
C Which angle from part (b) gives the shortest total time?
d. Using calculus, we can show that the angle needed to minimize the total time is a solution to the equation 300sect tan -
degree.
900
stea Solve the equation for e, where 0 < e< 90°. Round to the nearest tenth of a
11
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