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Please provide steps on how to solve! Consider the function y = fx). f(x) = 8x...
1.Find the partial derivatives of the function f(x,y)=(8x+8y)/(6x-7y) fx(x,y)= fy(x,y)=
Find f, and f, for f(x, y)= 12(8x-7y+94. fx(x,y)=
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =
how to solve this? The function f is one-to-one. Find its inverse. f(x) = 8x² +9, x20 O A f'(X) = 8 √x-9 X20 B. f'(x) = X-9 8 X29 c. f-'(x) = 8 X-9 X>9 Ix-9 OD. F"(x) = - 8,x29
4. The random variables X and Y have joint probability density function fx,y(x, ) given by: fx,y(x, y) 0, else (a) Find c. (b) Find fx(x) and fy (), the marginal probability density functions of X and Y, respectively (c) Find fxjy (xly), the conditional probability density function of X given Y. For your limits (which you should not forget!), put y between constant bounds and then give the limits for in terms of y. (d) Are X and Y...
In MATLAB please Consider the nonlinear function: y = f(x) = x3 cos x a. Plot y as a function of x as x is varied between -67 and 67. In this plot mark all the locations of x where y = 0. Make sure to get all the roots in this range. You may need to zoom in to some areas of the plot. These locations are some of the roots of the above equation. b. Use the fzero...
. Let X and Y be two random variables with joint probability density function fx,y(x, y)-cy for 0 x 1 and 0 y 1. (Note: fxy(x,y) = 0 outside this domain ) (a) Find the marginal distribution fx(x). (b) Find the value of constant c, using the fact that fx,y(x, y) dx dy = 1.
3. (7 points) Consider the function sin f (x, y) = { if (x, y) + (0,0) if (x, y) = (0,0) (a) Prove that f is differentiable at (0,0). (b) Prove that f is not C1 at (0,0). (Hint for part (a): Begin by showing that fx(0,0) and fy(0,0) exist and find their val- ues, and thereby determine Jf(0,0).)
Consider fx (x)=e*, 0<x and joint probability density function fx (x, y) = e) for 0<x<y. Determine the following: (a) Conditional probability distribution of Y given X =1. (b) ECY X = 1) = (c) P(Y <2 X = 1) = (d) Conditional probability distribution of X given Y = 4.
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.