
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
Find the power series representation for 2x-4 x2-4x + 3 What is its interval and radius of convergence? Find the Maclaurin series for f(x) (1 z)2 What is its radius of convergence? Find the Taylor Series for f(x) AC Centred at a =-3. What is its radius of convergence?
Find the power series representation for 2x-4 x2-4x + 3 What is its interval and radius of convergence?
Find the Maclaurin series for f(x) (1 z)2 What is its radius of...