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The polynomial function fis defined by f(x) = -3x +7xº+3x-9x-1. Use the ALEKS graphing calculator to find all the points (x,8(x)) where there is a local Round to the nearest hundredth. If there is more than one point, enter them using the "and" button. (s. S()) = 00 Cand Х 5 ? Continue
7. Show that the equation f(x) = x^3 + 3x^2 - 9x + 7 = 0 has a solution for some x is E(-6; -5). Apply Newton’s method with an initial guess x0 = -5 to find x2. 8. Find the intervals of increase and decrease of the function x2e^-2x. 9. Sketch the graph of the curve y = x3 + 3x2 - 9x + 7. Be sure to find the intervals of increase, decrease and constant concavity and all...
wer [18A, 3C) If f(x) = -3x + 5 and g(x) = 9x – 2, what is the slope of the graph of the function (f-g)(x)?
9 Find the derivative of the function F(x) = 3x - 2 2 - 9x Answer 2 Points F'(x) =
Let f(x) = 2x4 +x4cos(1/x) for x ̸= 0 and f(0) = 0. Show that 0 is a global minimum x for f but for every neighbourhood V of 0 there exists x,y ∈ V such that f′(x) > 0 and f′(y) < 0.
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...
Let f(x) = 4€ + 2x4 for some constant a > 0. If we are told that f'(1) = 0, then what is the value of a? a) 1 b) e 2 c) e d) e? ees Open original
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x + 20 (b) Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x+8) (r - 4)*(x+1)' (x –15)'(x+3)
Prove that the polynomial 9x^4 + 4x^2 − 3x + 7 is irreducible in Q[x].
7) For f(x) = x - 4x + 9x? - 201 + 20 a) List the potential rational zeros. b) Determine which values from part (a) are the real zeros of the functions. (You need not show work.) 8) Find the complex zeros of each function. a) 2-10 b) x-1=0 c) 4 + 13x2 + 36 = 0 d) 2x + 3x + 2x + 3 = 0