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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Throwing events in track and field include the shot put, the discus throw, the hammer throw, and the javelin throw. The distance that the athlete can achieve depends on the initial speed of the object thrown and the angle above the horizontal at which the object leaves the hand. This angle is
represented by θ in the figure shown. The distance, d, in feet, that the athlete throws is modeled by the formula d=v02 sin θ cos θ/16, in which v0 is the initial speed of the object thrown, in feet per second, and θ is the angle, in degrees, at which the object leaves the hand. 

Solve, a. Use an identity to express the formula so that it contains the sine function only.

b. Use your formula from part (a) to find the angle,θ, that produces the maximum distance, d, for a given initial speed, v0.

d
Transcribed Image Text:d
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