Please show all steps! 2 = 16-x-y for the given c-values c = 0, 1, 2,...
question with answers, show steps: Given: fx,y(x,y)= (5/16)yx^2 for 0<y<x<2, determine: a) fx(x) by integrating y from 0 to x. Ans: fx(x)=(5/32)x^4 for 0<x<2 b) fy(y) by integrating x from y to 2 Ans: fy(y)=(5/48)y(8-y^3) for y<x<2 c) Test for independence using Criterion b Ans: Fails-> Not independent
Sketch the region enclosed by the curves y = x + 2, y = 16 – x2 , x = – 2, and x = 2 on your paper. Find the area of the region. Show all steps mathematically connected.
please show all steps with justifications 21. Assume the joint density function of X and Y is given by fx,x(x, y) = Cxy if 0 < x <y< 2 and zero otherwise. Compute the constant C.
please show all steps, thank you 2. Determine if a point x = -1, y = 2 is - a non-degenerate critical point - a local maximum or minimum of a function f(x, y) = xy2 + x2 – 2.cy + 4y2 + 2.c - 14y.
Please show steps. Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
Please show all steps & work, thanks! 1. Use the given graph of y = f(x) to evaluate the following definite integrals, y = f(x) --4 a. -3 --2 L. f(a) de 5. Lflz) di « ["ra) de 1. (536) di 1 -3 -1 2 3 4 -1 -2 -3
Please show the steps and the answers Suppose (X, Y) takes values on the unit square [0, 1] x [0, 1) with joint pdf f(x,y)- 3. (x2 + Y2). a) Find the marginal probability density function fx(x) and use it to find P(X < 0.5). b) Find the joint distribution function.
please show steps for all: 2. Given the planes + y - 43 and x-2- a.. Find the angle of intersection of the planes. b. Find the parametric equation of the line of intersection (L) of the 2 planes. c. Determine the equation of the plane orthogonal to L and containing the point(0,4,0) d. Determine the distance from the point (0,4,0) to L.
1. Consider the function. (a) Draw the level curves of this function for levels c = 0, 1, 2. Please clearly label each level curve with the appropriate value of c. (b) Use the previous answer to sketch the graph (c) Find all first and second order derivatives of this function. (Please label all your derivatives clearly.) (d) Find the equation of the tangent plane to 2.. Let (a) Show that does not exist. (b) Show that does exist and...
Solve the system. -3x+y+4z=1 x+y+z=0 -2x+z=-1 x+y-2z=0 Please show all steps! I thought I got the correct answer but my numbers don't work for the last given equation. Thank you!