Given the following identity, find all of the following that are not in the domain of...
The functions fand g are given. Find each of the following functions and determine their domain. (Enter your answer for each domain using interval notation.) (x) = 3x + 4 and g(x)=2x-3 (a) (f+)x) function (f+)() - domain (b) (- 9)x) function (f - 9)x) = domain C) (f. 9x) function (f)(x) = domain function domain
help W 9.4.35 Find the partial fraction decomposition for the following rational expression. 3x® +6x4 - 72x2 + 5x² - 10x - 120 x²+2x² – 24 3x + 6x4 - 72x2 + 5x² - 10x - 120 x3 + 2x² - 24x 1.0.0.0 II X-4 X+6 9.4.39 Find the partial fraction decomposition for the rational expression. 8x² - 6x-8 x3 + x² - 2x 8x2 - 6x-8 x²+x²–2x (Simplify your answer. Use integers or fractions for any numbers in the...
EXERCISE 2.4 1. Given $1 = {3,6,9, 52 = (a, b), and S3 = {m, n}, find the Cartesian products: (0) Sy x 52 (b) $2 x S3 (C) 53 x 51 5. If the domain of the function y=5+ 3x is the set (* 1<x< 9), find the range of the function and express it as a set. EXERCISE 2.3 3. Referring to the four sets given in Prob. 2, find: (a) S, US (c) S2 S3 () 54...
Find the equation of the tangent line to the curve when x has the given value. 7) f(x) = 4,x=5 8) f(x) = }x=3 11) Solve the problem. 11) The profit in dollars from the sale of thousand compact disc players is P(x) = x3 - 5x2 + 3x + 8. Find the marginal profit when the value of x is 6. 12) 12) Ir the price of a product is given by Px) E 1200, where x represents the...
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
L = sa V1 + [f'(x)]?dx = Se 1 + 2 dx dx Examples. Find the length of the arc of the following curves. y = Vx3 fromx = 1 to x = 4 2. y = {(x2 + 2) from x = 0 to x = 3 3. y=*+ from x = 1 to x = 3 (Ans:*) 2x 4. y + from x = 2 to x = 4 8x2 5. y = -x2 - In x from...
Find the set of possible rational zeros given the function. 4) f(x) = 2x3 + 9x2 + 12x - 8 Find all the zeroes given a factor. 5) f(x) = x3 - 5x2 + 4x + 6 and (x-3) is a factor. 6) f(x) = x3 - 8x2 + 18x - 12 and (x-2 is a factor.
Question 11 In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, x2,...,x) = (0,0,...,0). 9. x– 2x2 = -1 2xy + x2 = 3 11. 2x, – 3x2 = -7 x1 + 3x2 – 10x3 = 9 3x + x3 = 13 10. - x + 4x, = 1 3xı – 2x2 = 2 12. x, + 3x, – x3 = 5 3x1 - x2 = 5 x2 + 2x3 =...
Introduce slack variables as necessary and then write the initial simplex tableau for the given linear programming problem. Complete the initial simplex tableau. 1 1 X, X2 X3 s, 3 8 5 0 2 2 0 0 ONN S2 S3 0 0 0 0 0 0 NOOO 1 12 9 9 1 0 Z= X1 +8X2 +3X3 Maximize subject to X1 8X4 +2x2 +X2 +3x3 12 + 5x3 39 + 2x3 = 9 20, X3 20. 2x X1 20, X2
Consider the domain S ⊂ R2, determined by the following system of inequalities: x + 5y ≤ 5 ,2x + y ≤ 4 ,x + y ≤ 15 ,x ≥ 0, y ≥ 0 a) Sketch the domain S b) Find the coordinates of all “corners” (vertices of the boundary) of S c) Determine the maximum value on S of the function z = f(x,y) = 3x + 5y. If you think that a maximum value does not exist, explain...