0/5 Current Attempt in Progress 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. If we ignore air resistance, the horizontal ranger of the baseball is a function of the initial speed y of the ball when it leaves Nolan's hand and the angle 0 above the horizontal at which it is thrown. SPEED U (ft/s) 80 85 90 95 35 188 212 238 266 40 197 222 249 278 45 200 226 253 281 50 197 222 249 278 Use the accompanying table and the equations below to estimate the stated partial derivatives. S(xo. Yo +4y)-f(Xo. Yo) f(X0. Yo) S(xo + Ax, yo) –S(xo.Yo) = lim ,(Xo. Ya) = lim %3D Ax Ay Take a left-hand estimate and a right-hand estimate in each case and give the average of the two as your final answer. 90ft/s and 0 = 40". %3D (a) Estimate the partial derivative of r with respect to v wheny dr ANGLE O (degrees)
0/5 Current Attempt in Progress 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. If we ignore air resistance, the horizontal ranger of the baseball is a function of the initial speed y of the ball when it leaves Nolan's hand and the angle 0 above the horizontal at which it is thrown. SPEED U (ft/s) 80 85 90 95 35 188 212 238 266 40 197 222 249 278 45 200 226 253 281 50 197 222 249 278 Use the accompanying table and the equations below to estimate the stated partial derivatives. S(xo. Yo +4y)-f(Xo. Yo) f(X0. Yo) S(xo + Ax, yo) –S(xo.Yo) = lim ,(Xo. Ya) = lim %3D Ax Ay Take a left-hand estimate and a right-hand estimate in each case and give the average of the two as your final answer. 90ft/s and 0 = 40". %3D (a) Estimate the partial derivative of r with respect to v wheny dr ANGLE O (degrees)
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 98E: Arboriculture The growth of a red oak tree is approximated by the function...
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Transcribed Image Text:0/5
Current Attempt in Progress
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. If we ignore air resistance, the horizontal ranger of the baseball is a function of the initial speed y of the ball when it leaves
Nolan's hand and the angle 0 above the horizontal at which it is thrown.
SPEED U (ft/s)
80
85
90
95
35
188
212
238
266
40
197
222
249
278
45
200
226
253
281
50
197
222
249
278
Use the accompanying table and the equations below to estimate the stated partial derivatives.
S(xo. Yo+4y)-f(Xo. Yo)
A(X0. Yo) =
S(xo + Ax, yo) –S(xo. Yo)
= lim
,(Xo. Ya) = lim
%3D
Ax
Ay
Take a left-hand estimate and a right-hand estimate in each case and give the average of the two as your final answer.
90ft/s and 0 = 40".
(a) Estimate the partial derivative of r with respect to v whenv
dr
ANGLE O (degrees)
Transcribed Image Text:0/5 E
SPEED v (ft/s)
80
85
90
95
35
188
212
238
266
40
197
222
249
278
45
200
226
253
281
50
197
222
249
278
Use the accompanying table and the equations below to estimate the stated partial derivatives.
/(xo + Ax. yo) -f(Xo.Yo)
S(xo. Yo + Ay) -f(xo. Yo)
A(X0. Yo) = lim
(Xa. Vo) = lim
Ay
Take a left-hand estimate and a right-hand estimate in each case and give the average of the two as your final answer.
(a) Estimate the partial derivative of r with respect to v when i
-90ft/s and 0
40
dr
(b) Estimate the partial derivative of rwith respect to i when v
90ft/s and 0 40
dr
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ANGLE O (degrees)
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