296 POLYNOMIAL FUNCTIONS 34. f(x) 4x3 -62-8+15 33. f(x) = r + 3x + 4x 12 35. f(r) r +7x2+9a 2 36. f(x) = 9r +2x +1 37 f(x) 4x4 - 4313r2- 12 3 38. f(x)2x4 -7x3 14r2-15 +6 39 f(r) x4 + x+7x 9x 18 40. f(x) 6x4 +17r3 -55r2 + 16+12 41. f(z) =-3r4 - 83-122- 12 5 42. f(x) 8a4+50343r2+2x-4 43. f(x) = x4 +9x2 +20 44. f(x) x4 +5a2-24 1 45. f(x) - r7x3-7x2 12x 12...
(1 point) - 2x² Find the Maclaurin series for the function f(x) = r the function (x) = - 2 in the form (f(x) = n=0 Notice if a coefficient requested below is missing in the series then that coefficient is zero and you should enter 0. Find the individual coefficients Now give the general term as a formula involving n C. =
Find the average rate of change for the following function. f(x) = 4x3 - 2x + 7 between x= -1 and x = 2 . The average rate of change for f(x) over the interval - 1 to 2 is (Type an integer or a simplified fraction.)
1. Find the derivative. sex (28* + 13 (2x + 1)2 (2X+1) ex (2x + 1)2 2. Solve the given differential equation where the function is subject to the given conditions) by using Laplace transforms. y' + 9y = 0, y 0 --1 y=-et y=-e y = e-9t y = 9et 3. Find the derivative. + y=2 sin x + 8x3 cos x4 8x* cos x X COS X 8x3 cos x3 Please tell which one is the correct choice
Find the second derivative of the function. y = 4(x2 + 2x)3 y" = _______ Find the third derivative of the function. f(x) = x4-4x3 f'''(x) = _______
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f. b) determine the interval(s) on which the graph off is increasing c) find f"(x) and the x-coordinates of the possible inflection points d) determine the interval(s) on which the graph off is concave down.
(1 point) Find the maximal and minimal values for the function f(x) = x4 – 4x3 + 4x2 + 7 on the interval [–2, 3). The maximal value is The minimal value is (1 point) Find the maximal and minimal values for the function k(x) = (x2 – 4)3 – 1 on the interval (-1, 3). The maximal value is The minimal value is
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
- 2x Find the values of x at which the function f(x)=e + 2x has a relative maximum or minimum point. O A. minimum at x = 0 OB 0.69 maximum at x = 2 O C. There are no relative maximum/minimum points. OD maximum at x- O E. none of these Click to select your answer