Concept explainers
Problems
For Problems 15-20, determine
(a). using the Convolution Theorem, (b) using partial fractions.
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EBK DIFFERENTIAL EQUATIONS AND LINEAR A
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- After performing operations (i) and (ii) we obtain a rational function g such that the denominator of g(x) is a product of constants, factors of the form (ax + b)", and factors of the form (ax² + bx +c)° (where ax² + bx + c cannot be factored). The final step in the preparation involves equating g(x) with a sum of terms arising from the factors appearing in the denominator of g(x). For every factor (ax + b)" appearing in the denominator of g(x) we include an expression of the form A1 A2 А, +... + (4) ах + b (ах + b)? (ах + b)" where A1, A2, ..., A, are constants to be determined. For every factor of the form (ax + bx + c)° we include an expression of the form B1x + C, B2x + C2 B,x + C, + + (5) ... ax² + bx + c (ах? + bx + с)? (ах2 + bx + с)sarrow_forwardd. (4, -2) 3. If f(x) = 2x + 1 and g(x) = then f(g(x)) = ? a. X x-1 b. 4x+2 5x+1 C. d. (2x+1)(x-1) 2.arrow_forward5. (a) Evaluate the polynomial y = x³ - 8x² + 12x −0.45 at a = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y= ((x-8) x+12)x -0.45. Evaluate the percent relative true error and compare with part (a).arrow_forward
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