number 4 + (ix) 752 +85 + 25)2 Scos (1-27). 127 My Find F) where F10...
Problem 4 (a). 1 Evaluate dx, where i is some positive constant. -5teis +6e-ix Problem 4 (b). Given that f(x) is continuous everywhere and 7/4 f(2 sect) dt =1010, cost 0 evaluate ) (/*+2+ +5 )dt. --1 Problem 4(c). Let f(x) be continuous on (0,1). T T Show that Į 2 f(sin x)de = / f\sin x)dz. 0 0
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
4. Find the generating function for the number of labeled graphs where there are 1 or 2 edges at each vertex. 4. Find the generating function for the number of labeled graphs where there are 1 or 2 edges at each vertex.
f(x) = (kx + 1)/25 , x = 0, 1, 2, 3, 4. 1. Find the value of k that makes f a probability mass function. Graph f. 2. What is the expected number of days a rat will spend in the maze? 3. Find and graph the cumulative distribution of the number of days a rat will spend in the maze. Conditional on the fact that a rat spends at most 3 days in the maze, what is the...
Question 25, 27, 39 Question 25, 27, 39 For Exercises 25-32, use the following graph of F to find each limit. When necessary, state that the limit does not exist. YA 6 F 4 2 1 $-4-3-2-1 1 2 3 4 5 6 -3 25. lim F(x) 27. lim F(x) 29. lim F(x) 31. lim + F(x) x-2 X-5 26. lim F(x) X2 28. lim F(x) 30. lim F(x) X-6 32. lim_ F(x) --2- X4 For Exercises 33-40, use the...
1. Find f(x) f(x) = 27 {rewrite first-leave answer as a radical) 3 +1 2. Find f'() 2. Find f'(x) f(x) = x {rewrite first; 3. Find f(x) f(x) = 21n(1+3x2) + 3e(4433) 4. Find f'(x) for f(x) = x2\n(x3+1) {Note: uses product rule f'g+g'f} dir dx 2x+1 f'g-g'ſ 5. Find {Note: uses quotient rule }
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are given that -4x²(x +3) - 8.1 f'(x) = and f"(x) = 27(x + 1)3 9(x + 1)4 Compile the following information about f(x) and its graph. Show your work to justify your answers to parts (f), (g), (h), (i) and (j). Otherwise, give answers only. Answer "NONE” if the function does not display a feature listed. 1] (a) Domain of f (b) x and...
Given f(x) = 2 log(x) – 2, find f-1(-8). b) 27 c) 27 d) -3 e) 3 f) None of the above.
1) Find the mistake in my work and explain why it mattered. Find the intervals where the function is increasing and decreasing. f(x) = x + 1) Find the mistake in my work and explain why it f'(x) = 1 - 0-luent X²=8 fie z test f40) = - f*(3)s+ so fincreases on . [2,00) and f decreases on (-0,2 X-2
Graph the piecewise function. (Apts) -8²+2 13. h(x) ix-21 If 1<x<3 -6 if x 25 b. Where is h(x) increasing? (Ipt each) c. Where is h(x) decreasing? d. Is there an x-intercept, if so where? e. Is there a y-intercept, if so where?