
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
such that F[ X 3, 13-2, E1% -4, VX-2, VX-1 and V[85] -4. Find the expected value of -2X;. QUESTION 13 Let the independent random variables X. X, and 3%, and the variance of U-2. BARU-12. VU - 12 . BU-0, V[0] = 12 BC.EU - 4, VIU] - 4 D. None of the other three answers
(2x - 1 if x < -1 2. Suppose f(x) = 2x2 - 4 if-1<x52 (log: (x - 1) if x > 2 a) Is f continuous at x = -1? Justify your answer completely. b) Is f continuous at x = 22 Justify your answer completely. 3. Suppose f(x) = x2 + 3x a) Using the definition of derivative, find f'(x). No credit will be given if shortcuts are used. b) Find the equation of the tangent line to...
2x f(x) = ex+ f'(x) = (3x + 2) ex+3 B f'(x) = (x2 + 2x) e*+2x-1 С f'(x) = ex®+2x f'(x) = €3x+2
x2 + 2x – 15 Let f(x) #3 X - 3 if x = 3 Find the value of k which makes f continuous at x = 3. k3 1 Select one: O a.3 O b.8 Oc. 2 O d. 79 O e.O Å
2 Consider x2 if x <0 f (x) = 2x+ 1 if 0x < 2 (a) Determine whether f is continuous on the interval [0, 1]. (b) Determine whether f is right continuous on the interval [0, 1]. (c) Determine whether f is continuous on the interval [1,2].
Evaluate f(3x3 +Vx+ 2x-1 - 3x+2/3)dx
7/4/20 linette at intihe'te keuse 12 x²+3x-1 2+x+2 242-3 1 + 3-1 X X2 lo 10y4+2x²+201 42
Suppose that a random variable X satisfies E (3X − 6) = 3 and V ar [2X + 1] = 16. Use Chebyshev’s Inequality to bound P (X ≥ 17).
Let f(x) = { 80 -5 if < 10 - 7+ + b if : > 10 If f(x) is a function which is continuous everywhere, then we must have b = Let f(x) = 82 - 5 if x < 10 1 - 7x +b if x > 10 If f(x) is a function which is continuous everywhere, then we must have b= -6 2-5 - 2x + b if - 1 Let f(x) if 2 - 1 There...