Determine if the limit exists, Graphically b.) lim X1 x2 + 3 2 x<> 1 x=1
Given f(x) = x2 - 6x +5, x<3 Graph f(x) and f-?(x) to show that they are inverses of one another.
Find indicated quantity if it exists. La x + 3 if x < -2 54. Let f(x) Find IVx+ 2 if x > -2 (A) lim+ f(x) (B) lim-f(x) (C) lim, f(x) (D) f(-2) x-27
Let f(x, y) = x2 – yż and D= {(2,y) : x2 + y2 < 4}. Let m and M be the absolute minimum and maximum values of f over D respectively. What is m - M?
How to solve it? Let F =< -2, x, y2 >. Find S Ss curlF.nds, where S is the paraboloid z = x2 + y?, OSz54.
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
g(x) = (x+2; x<-1 -x2 - 5; -1 < x < 1 ( (x - 2)3; x > 1 6. Evaluate lim g(x) X19 11. Let y = (x2 + 1)(x +5 -3); Find y'
X+2 X<3 n. lim f(x), where f(x)= { x3 12-2x x>3 3
4. Find the length of the curve x 1 f(x)= 12 +-, 1<x<4. х
4. Find the maximum and minimum values of f(x, y) = 4x2 + 10y2 on the disk x2 + y2 < 4.