The value of partial derivative of r with respect to v , when v = 80 ft/s and θ = 40 ° from the table below. Where, r is the horizontal range of the baseball in ft , v is the initial velocity in ft/s , at which the ball is thrown, and θ is the angle above the horizontal at which the ball is thrown. 75 80 85 90 35 165 188 212 238 40 173 197 222 249 45 176 200 226 253 50 173 197 222 249
The value of partial derivative of r with respect to v , when v = 80 ft/s and θ = 40 ° from the table below. Where, r is the horizontal range of the baseball in ft , v is the initial velocity in ft/s , at which the ball is thrown, and θ is the angle above the horizontal at which the ball is thrown. 75 80 85 90 35 165 188 212 238 40 173 197 222 249 45 176 200 226 253 50 173 197 222 249
Solution Summary: The author calculates the value of partial derivative of r with respect to v.
To calculate: The value of partial derivative of r with respect to v , when v=80 ft/s and θ=40° from the table below. Where, r is the horizontal range of the baseball in ft , v is the initial velocity in ft/s , at which the ball is thrown, and θ is the angle above the horizontal at which the ball is thrown.
To calculate: The value of partial derivative of r with respect to θ , when v=80 ft/s and θ=40° from the table below. Where, r is the horizontal range of the baseball in ft , v is the initial velocity in ft/s , at which the ball is thrown, and θ is the angle above the horizontal at which the ball is thrown.
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)
Explain how to find a first partial derivative of a function oftwo variables.
Suppose the slope of the curve y = f'(x) at (4, 7) is §. Find
f'(7).