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
- 1. Solve the lowest term of the following rational expressions functions. Show your complete solutions. x? + 5x – 24 a) x2 - 5x + 4 х2 + х - 12 x - 1 (x² + 14x + 40 (x² + 5x - 14 b) x² + 2x - 8 х2 +7х — 30arrow_forwardIf f(x).= x³+3x- k is divided by (x +1) and the remainder is 12, then k = -8. True Falsearrow_forward2. Show that (2x + i)(2x – i) = 4x +1 %3Darrow_forward
- .If f(x) = 2x2 + 1 and g(x) = 6x +3, what is (fo g)(x)? %3Darrow_forward-3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)arrow_forwarddligle (b) The monthly income of Sanjeet and Manjeet are Rs. 18000 and Rs. 27000 respectively. What is the ratio of the income of Manjeet to that of Sanjeet in its simplest form? (c) Find the L.C.M. of 120, 210, 225 by the division method. [2] [3]arrow_forward
- 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_forward1. Which of the following are rational expressions? Vx + 1 (b) 2x + 3 x (x2 - 1) (c) x + 3 3x (a) x² - 1arrow_forwardFind usngly tah X X(X+)(x-2) +Oし2X+3) %3D y =arrow_forward
- Given cost and revenue functions and C(q)=115q+43000 and R(q)=−3q2+3000q, how many items must the company produce and sell to break even? The company must produce and sell enter your response here items. (Make sure to round to nearest integer. If more than one answer, separate by a comma.)arrow_forwardProblem 3 lowest terms. (a) [8; 3, 7, 1, 2]. 1 (b) 9+ 5+ 1 7+ 1 . Express the following continued fractions as rational numbers inarrow_forwardA. If the operation is defined on the set of rational numbers by xy = x + y – 2xy solve the equation x * 4 = (x * 5) – (x * 3).arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning