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
For what value of the constant c is the function f continuous on ( – 60,00)? f(x) Sca? + 6x if x <3 1 x3 cx if x > 3 C= Preview Question 9 Points norcihlo 1
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 f(x) = 2 - 6r”, -551<1. The absolute maximum value is and this occurs at I = The absolute minimum value is and this occurs at 2 =
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 =
Compute f(3) in the piecewise function f(x) = -1 <1 3.22 +2 121
(6 pts) Consider the joint density function f(x, y) = { (9- 2- y), 0<r<3, 3 Sy <6, 0, otherwise Find P(0 < < <1,4 <y<6).
[4 Pts. Use the definition of continuity to show that the function f is continuous at <=0 10 g(x)= 3-4
Consider f(x) = x[x] - 1<x< 1 Is the function even? Odd? Or neither/ Expand f in an appropriate series. Find the limit of the series on the interval (-1,1).
Consider the random variable X whose probability density function is given by k/x3 if x>r fx(x) = otherwise Suppose that r=5.2. Find the value of k that makes fx(x) a valid probability density function.