
Suppose that the cdf of random variable X is Skex-3, X <4 11, X >4 Find k. (2 Points) Find the expected value of X. (2 Points)
Find all values on the graph of f(x) = x + 2 sin x for 0 < 3 < 2 where the tangent line has slope 0.
Find all real solutions of the equation (2 – 6)? = 4. 21 = and 12 with i < 22
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
4. Find the length of the curve x 1 f(x)= 12 +-, 1<x<4. х
Find ao and the first five ak's and by's for the following signal. x(t) = 2 + t + t ; <t<tt
7. For the probability density function f(x) = for 0 <<<2 (a) Find P(x < 1) (b) Find the expected value. (c) Find the variance.
12. Find all solutions with 0 <I<27: sec r = -2 13. Find all real solutions: sin r 2 14. Find all real solutions: 3 tan (3x) + 1 = 0
Question 2 Find the dot product a. b. a = <5,6> b = <2,-8>
12. (8 points) Solve (sin 0)2 = 5.0 5 0 < 2t.