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ind dw dw and da' dy using implicit differentiation. dz Leave your answers in terms of x, y, z, and w. In(8a? + y – z+9w) = | (a) %D

ind dw dw and da' dy using implicit differentiation. dz Leave your answers in terms of x, y, z, and w. In(8a? + y – z+9w) = | (a) %D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Question 8 of 12 -15 E 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 r of the ball when it leaves Nolan's hand and the angle d above the horizontal at which it is thrown. SPEED U (f/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. = lim Ar0 f(xo + Ax. yo ) – f(xo. Yo) f(x0. Yo + 4y) – f(xo. Yo) = lim dy-0 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. (a) Estimate the partial derivative of r with respect to v when v = 90ft/s and 0 = 40°. dr (b) Estimate the partial derivative of rwith respect to whenE= 90ft/s and0 = 40 dr (2 ANGLE O (degrees)
Transcribed Image Text:Question 8 of 12 -15 E 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 r of the ball when it leaves Nolan's hand and the angle d above the horizontal at which it is thrown. SPEED U (f/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. = lim Ar0 f(xo + Ax. yo ) – f(xo. Yo) f(x0. Yo + 4y) – f(xo. Yo) = lim dy-0 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. (a) Estimate the partial derivative of r with respect to v when v = 90ft/s and 0 = 40°. dr (b) Estimate the partial derivative of rwith respect to whenE= 90ft/s and0 = 40 dr (2 ANGLE O (degrees)
ew Policies urrent Attempt in Progress dw dw Find using implicit differentiation. and dz Leave your answers in terms of r, y, z, and w. 7 In(82 + y – z" + 9w) = z (a) (b) ay %3D (c) 13D az
Transcribed Image Text:ew Policies urrent Attempt in Progress dw dw Find using implicit differentiation. and dz Leave your answers in terms of r, y, z, and w. 7 In(82 + y – z" + 9w) = z (a) (b) ay %3D (c) 13D az
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