Find the relative extremes of f(x,y)= x - x2y - xy2
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Find the relative extremes of f?(x, y)=? ? x - x^2y - xy^2.
1. Find the first and second partial derivatives: A. z=f(x,y) = x2y3 - 4x2 + x2y-20 B. z=f(x,y) = x+ y - 4x2 + x2y-20 2. Find w w w x2 - 4x-z-5xw + 6xyz2 + wx - wz+4 = 0 Given the surface F(x,y) = 3x2 - y2 + z2 = 0 3. Find an equation of the plane tangent to the surface at the point (-1,2,1) a. Find the gradient VF(x,y) b. Find an equation of the plane...
The joint pdf of X and Y is f(x,y)= { (1 + xy2) 0 < x < y < 1 otherwise. 0 Find E(X Y = y) 5y2 6 543 27 y2 + + cola 2 3y+2y4 3(73+2)
= xy2 on the circle Question 5. (15 pts) Find the maximum and minimum of f(x,y) x2 + y2 = 1.
3. Suppose the joint PDF of two random variables X and Y are given below 3(xy2 + x2y), if o sxs 1,0 Sy s 1, fx.x (x,y) otherwise. (1) What is the covariance of X and Y? (20 points) (2) What is the correlation between X and Y? (20 points) 0,
A function y = f(x) is defined implicitly by the equation 2x²y - xy2 - 2y = 0 near the point (2, 3). Then f '(2) 3 7 1 - 2 4 3 5 2
Using the change of variables u = x2y and v = y/x, integrate
f(x,y) = x2y2 over the region bordered by y = 1/x2, y = 3/x2, y = x
and y = 2x.
3. Using the change of variables u = ry and v = y/x, integrate f(x,y) = r2y2 over the region bordered by y=1/x?, y = 3/r?, y = r and y=2r.
Problem D: In each part, find the covariance and the correlation of X and Y and interpret the correlation value (xy2 1), x 1,2,4, y = -1,2 a) the joint pmf of X and Y is p(x, y) 41 b) the joint pdf ofX and Y is f(x, y) = for 0 yx< 1.
Find all points (x,y) where f(x,y) has a possible relative maximum or minimum f(x,y) = 2x3 + 2y2 - 24x - By Using only the first-derivative test for functions of two variables, find all the points that are possibly a relative maximum or a relative minimum (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed)
Find dy if 2y3/2 + xy - x=0. Find dy if xy2 - 4x3/2 - y = 0