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 byRyan. If we ignore air resistance, the horizontal range r of the baseball is a function of the initial speed v of the ball when it leavesNolan's hand and the angle 0 above the horizontal at which it is thrown.SPEED U (ft/s)7580859035165188212238401731972222494517620022625350173197222249Use the accompanying table and the equations below to estimate the partial derivatives.f(xo. Yo +Ay) -f (xo.Yo)Ayf(xo + Ax, yo) -f(xo. yo)f. (xo. yo) = limAr-0(Xo, yo) = limAy-0AxTake 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 = 80ft/s and 0 = 45".idv(b) Estimate the partial derivative of r with respect to 0 when v = 80ft/s and 0 = 45°.%3DdriANGLE 0 (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. If 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. SPEED U (ft/s) 75 80 85 90

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 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. SPEED U (ft/s) 75 80 85 90

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.5: Trigonometric Graphs

Problem 57E

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