Solve both parts of question 2 1. Find Ex and Ey, the energies of the signals x(t) and y(t) for the given figure below. Sketch the signals x(t)+y(t) and x(t)-y(t). Show that the energies of either of these two signals is equal to Ex + Ey. (20 points) Vt) 2. Find the energies of the signals x(t) and y(t) for the given figure. Sketch the signals
(I point) Let F=21+(z + y) j + (z _ y + z) k. (1+4t). y = 4 + 2t, z = _ (1+t). Let the line l be x =- (a) Find a point P-(zo, 30, zo) where F is parallel to 1. Find a point Q (which F and I are perpendicular. Q= and l are perpendicular Give an equation for the set of all points at which F and l are perpendicular. equation: (I point) Let F=21+(z...
Other × D 442 WS.1 Spring 201 9pdf do product costs equal total ma × | , G Let XX be a random vanable wc × 1 + ile i file:///C/UsersOwner/Downloads/442%20ws%20%2319620Spring%202019.pdf e io s e) Find E(2x +3). f) Given EX 2 (and you need not verify this), find: i) VarX and ii) Var(2x +3) kx(x -1), x3,-2,2,3 2. Lst X be a random variable with probabae 2. Let X be a random variable with otherwise Do the following a)...
Assume X, Y are independent with EX = 1 EY = 2 Var(X) = 22 Var(Y) = 32 Let U = 2X + Y and V = 2X – Y. (a) Find E(U) and E(V). (b) Find Var(U) and Var(V). (c) Find Cov(U,V).
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
QUESTION 1 (15 MARKS) a) Given the line Lj: I = 2 - 2t, y = 5 + 2t, z=t-1 and 1 1 - 2 L2 : =y-3 = 2 4 i. Check whether the lines Lị and L2 parallel, intersect or skewed? (5 marks) ii. Find the shortest distance from the point (1, 2, -1) to the line Li- (3 marks) b) Given two planes 71 : 20 - 4y +z = 5 and T2 : 7x + y...
Find Error 1. (x)(Ey)(Ez) (Haxy --> Izy) .......p 2. (Ex) Kxxx ........p 3. (Ex) Kxxx ..........EI, 2 4. (Ey) (Ez) (Haay --> Izy) ........UI, 1 5. (Ez) (Haaz --> Izy) .........EI, 4 6. Haay --> Iyy ..........EI, 5 7. (x) (Haax --> Ixx) .........UG, 6 8. Haau --> Iuu ........UI, 7 9. (u) (Haau --> Iuu) .......UG, 8 10. Haaa --> Iaa .......UI, 9
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
x =-y+2 = -z+2 The symmetric equations for 2 lines in 3-D space are given as: 1. L,: x-2 = -y+1 = z+1 a) Show that lines L1 and L2 are skew lines. b) Find the distance between these 2 lines x =1-t y=-3+2t passes through the plane x+ y+z-4=0 2. The line Determine the position of the penetration point. a. Find the angle that the line forms with the plane normal vector n. This angle is also known as...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...