For what value of the constant c is the function f continuous on ( – 60,00)?...
2. Find the value of c so that the function is continuous everywhere. f(x) = 02 – 22 r<2 1+c => 2 {
Consider the function S Ax? f(x) = - { x < 3 17 - Ax x3 Find a value of A so that the function is continuous at x = 3. - 12/17 17/12 12/17 17/3 - 17/12
[4 Pts. Use the definition of continuity to show that the function f is continuous at <=0 10 g(x)= 3-4
Find the constant a such that the function is continuous on the entire real line. f(x) = [ 5x2, x 21 ax - 5, x < 1 a =
Find the value of C for which the following function will be a probability function. (c) f(x)= cx" (1 – x)°, 0<x< 1
(1 point) For what value of the constant c is the function f continuous on the interval (-0,0). fx2 – 6, r<c f(x) = 8x – 22, >c
9(10pt). Determine the value of a and b that make the function f(x) 2-3 if x < -3, x? + ax - 6 if -3 <r <2, ba - 6 ifr > 2 continuous on (-00,00) I
LI CONTINUOUS DIST Let X be a random variable with pdf -cx, -2<x<0 f(x)={cx, 0<x<2 otherwise where c is a constant. a. Find the value of c. b. Find the mean of X. C. Find the variance of X. d. Find P(-1 < X < 2). e. Find P(X>1/2). f. Find the third quartile.
12. What value of c make the function f(x) = (x2 – 3x when x > 2 continuous when x = 2? 14x + 2c when x < 2 a)-5 b)-3 c) 0 d) 1
Compute f(3) in the piecewise function f(x) = -1 <1 3.22 +2 121