Given the function f(x) = 6x2 + 72 – 4. Calculate the following values: f(0) = f(2)= f(-2) = f(x + 1) = f(-x) = e Question Heln. menen
Find f(z) if 3 + int[a to x] f(z)/z^2 = x^3-4x^2
Calculate Sla F.dS where F = (4x®z, 4yºz, 324) 14 – x2 - y², z = 1 – 22 – ya and and S is the surface of the solid bounded by the hemispheres z = the plane z = 0.
Given that f(x) = x2 + 4x and g(x) = x + 7, calculate a)fog(z)= | # Preview syntax error g o f()- Preview (c) f o f(x)- [- # Preview (d) go g(x)- Preview
4. Use Stokes' Theorem to evaluate F dr. F(x,y,z)-(3z,4x, 2y); C is the circle x2 + y2 4 in the xy-plane with a counterclockwise orientation looking down the positive z-axis. az az F dr-JI, (curl F) n ds and VGy, 1) Hint: use ax' dy
Differentiate f(x) = 24 – 4.x +3 3+1 (1) f'(x) = [(x4–4x+3)/(277)]-(Vx+1)(42.3 – 4) (V<+1) z(1+1) [E{7)/(E+11–22)=(1-21)(1+34) = (x),f (1) z(I+) EN/1)-(t-rat) = (x), (£) (1-x)g = (2x),f ()
Question 13 Determine the domain of f(x)= x2 - 4x +3 x-1 in interval notation. Question 14 Given that f(x) = - 4x + 3 is a one-to-one function. Determine f-'(x).
Question 11 Given: f" (z) = (4x +9)88(3:+1)*(5x - 1)(x - 2)", where Dom f (z) = (-00,0). Fird- Doint(s) of f(x). - - *(-)). (-5,+(-)), (6,+(?)), and (2,5 (2) (54(++)), ($,f(t)), and (2,5 (2) (5.1()) and (2,5 (2) - none
(9) Find the equation of any vertical asymptote: (a) f(x) x2 + 5x x2 + 4x (b) f(x) X-5 x2 – 25 (10) Write a brief description of the relationship between the graph of f(x) = x2 and g(x) = - (x-4)2 +3
C. Involving Partial fractions 4 z+ 2z + 3 S x2 + 5x – 14 dx in S2-6)(22+4) dz 4x - 11 dx iv) *342 + 4)(22 +7) 8 +t+6t2 - 12t3 dt.