Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same height at which it is caught by Ryan. It we ignore air resistance; the horizontal range r of the baseball is a function of the initial speed v of the ball when it leaves Nolan's hand and the angle 0 above the horizontal at which it is thrown. Use the accompanying table to estimate the partial derivative of r with respect to v when v = 80 ft/s and 0 = 40°, and also the partial derivative of r with %3D respect to 0 when v 80 ft/s and 0 = 40°. %3! SPEED ν (ft/s ) 75 80 85 90 35 165 188 212 238 40 173 197 222 249 45 176 200 226 253 50 173 197 222 249 ANGLE O (degrees)
Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same height at which it is caught by Ryan. It we ignore air resistance; the horizontal range r of the baseball is a function of the initial speed v of the ball when it leaves Nolan's hand and the angle 0 above the horizontal at which it is thrown. Use the accompanying table to estimate the partial derivative of r with respect to v when v = 80 ft/s and 0 = 40°, and also the partial derivative of r with %3D respect to 0 when v 80 ft/s and 0 = 40°. %3! SPEED ν (ft/s ) 75 80 85 90 35 165 188 212 238 40 173 197 222 249 45 176 200 226 253 50 173 197 222 249 ANGLE O (degrees)
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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Question
![Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's
hand at the same height at which it is caught by Ryan. It we ignore air resistance;
the horizontal range r of the baseball is a function of the initial speed v of the ball
when it leaves Nolan's hand and the angle 0 above the horizontal at which it is
thrown. Use the accompanying table to estimate the partial derivative of r with
respect to v when v = 80 ft/s and 0 = 40°, and also the partial derivative of r with
respect to 0 when v = 80 ft/s and 0 = 40°.
%3D
SPEED v (ft/s)
75
80
85
90
35
165
188
212
238
40
173
197
222
249
6 200
45
176
226
253
50
173
197
222
249
ANGLE O (degrees)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17b1c91c-6d22-4aad-9d1b-88425d817bca%2F8b3ffd4e-5f92-434a-bf98-6805d713c35f%2F846zud_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's
hand at the same height at which it is caught by Ryan. It we ignore air resistance;
the horizontal range r of the baseball is a function of the initial speed v of the ball
when it leaves Nolan's hand and the angle 0 above the horizontal at which it is
thrown. Use the accompanying table to estimate the partial derivative of r with
respect to v when v = 80 ft/s and 0 = 40°, and also the partial derivative of r with
respect to 0 when v = 80 ft/s and 0 = 40°.
%3D
SPEED v (ft/s)
75
80
85
90
35
165
188
212
238
40
173
197
222
249
6 200
45
176
226
253
50
173
197
222
249
ANGLE O (degrees)
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