
Factor the polynomial f(x). Then solve the equation f) o. 10) f(x) x3+5x2- 9x-45 State the domain of the rational function. (6 points) 11) g(x) =ー2 x +2 Given that the polynomial function has the given zero, find the other zeros. 12) f(x)=x3-4x2 + 9x-10:2
solve for x and y, linear equations using the elimination method 2x+6y=-2 5x-3y=3 and -9x+3y=5 9x+4y=-6 is the following system dependentinconsistent or does it have a unique solution? why is this so? x-8y=9 6x-48y=36
Find all rational zeros of the function f(x)=2x'-9x'-6x+5.
Find all rational zeros of the function f(x)=2x'-9x'-6x+5.
X+2 X<3 n. lim f(x), where f(x)= { x3 12-2x x>3 3
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...
. Find the intervals on which f(x) = x^4 + 2x^3 − 36x^2 + 9x − 47 is concave down and up, along with the x-coordinates of any inflection points. Justify all your work
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of a function f(x) which has the following characteristics: (2) 1, f(5) 5, lim f(), i f)1, m끊f(x)-1, and limo f(x) = 4.
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of...
. Consider the function f(x) = 2x^ 3 + 9x^ 2 − 24x + 1. (1) (5 points) Find all the critical points of f(x). (2) (5 points) Find the intervals on which f(x) is increasing and decreasing, and find the x-values of any relative minima/maxima.
b) Show that (1+i) is a zero of F(x) = 2x^5 - 9x^4 +12x^3 -4x^2 - 8x +4 c) Find all of the ZEROES of F(x)
Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the form F(x,y) C is C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.)
Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the...