For what value of the constant c is the function f continuous on (-0, co)? cx2...
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 *3 X3 6. Consider a function y = f(x) such that lim f(x) = 2, lim f(x) = 2, and f(3) = -1. Explain whether each statement is true or false. a) y=f(x) is continuous at x = 3. b) The limit of f(x) as x approaches 3 does not exist. c) The value of the left-hand limit is 2. d) The value of the right-hand limit is -1. e) When x = 3, the y-value of the function...
help a random variable X has density function f(x) = cx2 for 0<x<3 and f(x)= 0 others. a. Find constant value o b. Find probability P(1 < X < 2)
0, oo) which converges to a certain real Let f be a real-valued continuous function over o0, i.e., lim f(x) = A. Answer the following questions value A as Find the following limit lim aoo a2 f (x)dx 0, oo) which converges to a certain real Let f be a real-valued continuous function over o0, i.e., lim f(x) = A. Answer the following questions value A as Find the following limit lim aoo a2 f (x)dx
(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
help me answer a random variable X has density function f(x) = cx2 for 0<x<3 and f(x) = 0 others. a. Find constant value o b. Find probability P(1 < X<2
17. Sketch the graph of an example of a function f that satisfies all of the given conditions. f(0) = 0, f(1) = 1, lim f(x) = 0, fis odd 1400 18. Sketch the graph of an example of a function f that satisfies all of the given conditions. lim, f(x) = 00, lim f(x) = 3, lim f(x) -3 2-2 29-00 100 19. Evaluate the limit and justify each step by indicating theappropriate properties of limits. 3.x2 - X+4....
please answer a. b. c. and explain (2 photos attached) For the piecewise linear function, complete the following. if x 54 19-X if x > 4 (a) Draw its graph. Fx) = {-x Graph Layers 12 11 After you add an object to the grap can use Graph Layers to view and properties 10 O 0 Full No Solution 3 10 WebAssign. Graphing Tool (b) Find the limits as x approaches 4 from the left and from the right. lim...
#23. Use the limit definition of the derivative to show why f(x) = (x - 5) is NOT differentiable at x = 5. (Hint: Compare the left- and right-hand limits of lim nits of lim f(5+h)-f(5) 102.) Is f(x) = (x - 5)% continuous at x = 5? What does the tangent line at the point (5,0) look like? 0
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.