Problem 1: Use the Reynolds decomposition to average and fluctuating components to evaluate the following expressions,...
Use the function to evaluate the indicated expressions and simplify. f(x) = 7x² + 1 f(x + 2) = _______ f(x) + f(2) = _______
Evaluate the following expressions, given functions f, g, and h: f(x) = 9 – x2 g(x) = –2x² + 5x +8 h(x) = 2x – 5 a. 4f(3) – 28(-2) = -10 b.f (!) – h(-3) =
Find the partial fraction decomposition for each of the following rational expressions. Then use the partial fraction to give an antiderivative for each function. (2-6) (3 + 2)2
Evaluate the following expressions: Note: You are not allowed to use decimals in any answer. a. log2 (52) = 0 (exact value) b. If log)(x) = 4 and log (y) = -10, then log, (xy) = (exact value) c. log3 (12) = (Express in terms of 'log' or 'In") d. cos $(134) =(exact value) e. If f(-2) = 10, then f-'(10) = f. If the polynomial p(x) is divided by (x + 8), the remainder is 15. Therefore p(-8) =
1. Use a partial fraction decomposition to evaluate each of the following. (b) 2.0 + 3 23 – 3.x2 + 4.x - 12 | 5x4 + 32x - 32, 75 – 4.4 + 4.23 | 4.24 - 8.23 - 21.22 4.x2 - 1 (3.84 +4.73 + 6.x2 + 3 (:22 + 1) +3 di
show work please Use the graphs to evaluate the expressions below. gft fx) .3 f(9(4)) g(9(5))
Q3: Expand the following functions by partial fraction expansion. Do not evaluate coefficients or invert expressions. 2 (a) x(s) = (5 + 1)(²+1) (s +3) (6) X() – F76+ 16 + 24 g Dos (b) x(s) = 31 sºls + 1) (s + 2)(s + 3) (c) X(s) = 1 (s + 1)(s + 2)(8 + 3)(s + 4)
Show the partial fraction decomposition for the following expressions a) x-100 (2 marks) 2+8x-48 x+-34x +21x +145 -4x2 -3x+18 (2 marks) b) (2 marks) i) For each partial fraction decomposition answer from part a) use the expression i) Comment on the significance of the results. Show the partial fraction decomposition for the following expressions a) x-100 (2 marks) 2+8x-48 x+-34x +21x +145 -4x2 -3x+18 (2 marks) b) (2 marks) i) For each partial fraction decomposition answer from part a) use...
The functions f and g are defined by the following tables. Use the tables to evaluate the given composite function. f (g(9)) x f(x) -1 | 2 04 15 5 -1 x g(x) -3 -5 2 - 4 42 9 -1 f(g(9))=0
The functions f and g are defined by the following tables, Use the tables to evaluate the given composite function x f(x) x g(x) (g of( 3)