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hw11_Solutions

# hw11_Solutions - Problem 1(a centered finite difference At...

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Sheet1 Page 1 Problem 1. (a) centered finite difference At t = 10.00000, v = 0.55000, a = -0.07500 (b) forward finite difference At t = 10.00000, v = 0.57500, a = -0.07500 (c) backward finite difference At t = 10.00000, v = 0.47500, a = -0.28750 --------------------------------------------------------------------- Problem 2. text 23.26 We need a derivation for a finite difference with f(x), f(x+h) and f(x+2h). For the derivation, see the attached pdf file, "hw11_p02.pdf". At y = 0.00000, dv/dy = 140.33333 At y = 0.00000, shear stress = 0.00253 --------------------------------------------------------------------- Problem 3. For the numerical integral, intervals are not constant. The easiest way is to use the trapezoidal method. Estimated accumulated mass = 19.26000 g --------------------------------------------------------------------- Problem 4. test 24.40 Finite difference and linear regression a1 = -0.15450 with an intercept -0.31084 k = 0.15450 with an intercept ---------------------------------------------------------------------

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hw11_Solutions - Problem 1(a centered finite difference At...

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