

1 9. Find the principal value of dc 25 +1 COS ac 10. Find the principal...
Use the residue theorem to compute the next definite
integral
please don't skip any steps and answer thoroughly
cos(a.x) som (a > 0, b>0). (22 +62)2d.t
2) (a)(10 pts.) Find the continuous solution to the initial value problem de + y = 9(2) where q() = { 0 if 2>1 sat S 1 if |2<1. satisfying y(0) = 0. (b)(10 pts.)Solve the differential equation de ty
1. Use an identity to find the exact value of cos(?) given that cos(O) = { with 270° << 360°
Any help would be appreciated!
Problem 4 Let (X, Y)~ N and Z = X1(XY > 0}-X1(XY < 0} (1) Find the distribution of Z (2) Show that the joint distribution of Y and Z is not bivariate normal.
9. The distribution function of a random variable X is given by 0, for r<-1, F(x) = { 271 -1<x<1, 1, 2 > 1. Find (a) P(Z < X < }); (b) P(1<x< 2).
Use logarithmic differentiation to find dy/dx. y = XV x2 + 25 X>0 dy - dx Need Help? Read It Talk to a Tutor
(1 point) Find the solution of x2y" + 5xy + (4 + 3x)y = 0, x > 0 of the form Yi = x" Ž Cpx”, n=0 where co = : 1. Enter r = Cn = n = 1,2,3,...
A= 10 5 5 2 B= 4. 1 > ,A+B= . ] 0
Please answer question #1w and write legibly -
it is circled in yellow
1. Evaluate the following limits, where p, q > 0: X COS X - sinx (w) lim x+ 0 x2 sinx
Suppose f is continuous, f(0)=0, f(2)=2, f'(x)>0 and f (x) dx = 1. Find the value of the integral fro f-?(x) dx =?