x+2 7 21. multiple choice. Any iten may! y have more than one correct answer. 2. what is the domain of f(x) = x²-3x-28 (10 m) (-2,-4) u (-4,-2) +(-2,7) v (7,) b) (-2,-4) u (-4,7) 0 (7,-) c) (-0, -u) u 17, s ) d) (-2,-2) u (-2,-) e) (-4,7) 22, 22, which equation can be used to find the equation of a line that passes through (2,-5) and is perpendicular to 2x + 3y = 7? (1 pt)...
Question 39 Let f(x)= 3x2 – 2. g(x) = 4x +4. Find the value of the function. (of)(4) o tof)(4) = 6,350 OVO (4) = 6,346 Ovo(4) = 6,348 ovo(4) = 6,347 OVO (4) = 6,345 O None of the above Question 40 1 pts Use Descartes' rule of signs to find the number of possible positive, negative, and nonreal roots for the following equation 8x° +11x2 + 3x + 5 = 0 O none of these O O positive:...
Let T: P2 + P, be a linear transformation for which T(1) = 3 - 2x, 7(x) = 9x – x2, and 7(x2) = 2 + 2x2. Find T(2 + x - 8x?) and T(a + bx + cx?). T(2 + x - 8x2) T(a + bx + cx) II
(1 point) Find a polynomial of the form f(x) = ax’ + bx² +cx +d such that f(0) = -3, f(-2) = 5, f(-3) = 2, and f(4) = 5. Answer: f(x) =
Question 2 6 pts Let T2(x) be the Taylor polynomial for f(x) = 2x + 2 centered at c = 1. Fill in the blanks in the paragraph below. Use exact values. The Error Notice that 4.2 = f(1.1) T2(1.1) = Bound says that the maximum possible value of the error is Tonal x-c"+1 1V 4.2 -T2(1.1) < (n + 1)! where K = and 2 - 1+1 (n+1)! Question 3 4 pts Fill in the blank. Use exact values...
9. Given f(x) = x4 + 4x3 + 2x2-8-8, a) How many zeros does f(x) have (including multiplicities)? b) List the possible rational zeros of f(x). c) Find all rational zeros of f(x). d) Find all the zeros of f(x).
For this problem let f(x) = 23 - 222-2 +2. a) List all possible rational zero of the function f(x), separated by commas: b) List all zeros of the function f(x), separated by commas: For this problem let f(1) = 2 23 - 322 - 82 +12 a) List all possible rational zeros of the function f(x), separated by commas: b) List all zeros of the function f(2), separated by commas:
Question 7 4 pts Given the following polynomial function: f(x) = 2 - 8x2 + 162 determine the maximum number of real zeros for this function, not the number of rational zeros.
7.2 Let X have density f(x) = cx for 0 < x < 2 and f(x) = 0 for other values of x. a. What is c? b. What is F(x)? c. What are E[X] and Var[x]? 7.3 Let X have density f(x) = cx(1 - x) for 0 sxs 1 and f(x) = 0 for other values of x. a. What is c? b. What is F(x)? c. What are E[X] and Var[x]?
Let f(x) = ax^2 +bx +c be a quadratic whose coefficients a, b, c are rational. Prove that if f(x) has one rational root, then the other root is also rational.