Use the second forward, backward and central divideddifference equations toestimatethe second derivativeOF:f (x) = -= -0.1 X² -0.15x³ - 0.5 x² - 0.25x + 1.2atX = 0.5 using step sizeh = 0.5.Showyour completesolutions.derivativeerror 20forward-3.150080.00backward-1.050040.00central-1.80002.86formulasF" (xi) • f (X;) - 2 f (Nin) f(xine)3+h²2f" (xi) , f (x; ) - 2 f (xi-f(Xi-z)h²f" (x₁) = f (x + 1)2f (Xi ) + f ( Xin )h²What arethe effectsonthestep sizeis halved ?derivativeerror aforwardbackwardCentral(second forward divided..)(second backward divided)(central divided approx.)results if the

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Use the second forward, backward and central divided difference equations to estimate the second derivative OF: f (x) = -0.1 x² -0.15x³ -0.5 x² - 0.25x + 1.2 at X = 0.5 using step size h = 0.5. Show your complete solutions. derivative error 20 forward -3.1500 80.00 backward -1.0500 40.00 central -1.8000 2.86 formalaus F" (xi) • f (X;) - 2 f (Nin) f(xine) 3 + h² 2 f" (xi) , f (x; ) - 2 f (xi-f(Xi-z) h² f" (x₁) = f (x + 1) 2f (xi ) + f ( Xin ) h² What are the effects on the step size is halved ? derivative error a forward backward Central (second forward divided..) (second backward divided) (central divided approx.) results if the

Use the second forward, backward and central divided difference equations to estimate the second derivative OF: f (x) = -0.1 x² -0.15x³ -0.5 x² - 0.25x + 1.2 at X = 0.5 using step size h = 0.5. Show your complete solutions. derivative error 20 forward -3.1500 80.00 backward -1.0500 40.00 central -1.8000 2.86 formalaus F" (xi) • f (X;) - 2 f (Nin) f(xine) 3 + h² 2 f" (xi) , f (x; ) - 2 f (xi-f(Xi-z) h² f" (x₁) = f (x + 1) 2f (xi ) + f ( Xin ) h² What are the effects on the step size is halved ? derivative error a forward backward Central (second forward divided..) (second backward divided) (central divided approx.) results if the

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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