Given that x and y are functions of time, find the indicated rate of change. Find...
Given that x and y are functions of time, find the indicated rate of change. Find dy/ dt when x equals = 2 and dx/ dt equals = −3, given that x3+y3=35.
Find the average rate of change for the given function over the indicated values of a. If necessary, round your final answer to two decimal places. y = 10x + 2, where goes from -4 to 1.
10. Assume that all variables are implicit functions of time t. Find the indicated rate. *2 + 5y2 + 4y = 69; * = 13 when x=6 and y= - 3; find y (Simplify your answer.)
Question 16 Find the average rate of change for the given function over the indicated values of a. If necessary, round your final answer to two decimal places. y = 11x + 8, where a goes from -5 to -1.
The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, 0). Find the general solution of the given nonhomogeneous equation. *?y" + xy' + (x2 - 1)y = x3/2; Y1 = x-1/2 cos(x), Y2 = x-1/2 sin(x) y(x) =
Find the area of the region y that lies under the given curve y = f(x) over the indicated interval a <x<b. 2 Under y = 8x e over 0 < x < 2 2 over 0 < x < 2 is Round your answer to six decimal 2 The area under y = 8x e * places.
8. (10 pts.) The moment generating functions of X and Y are given by Mx(e) = (3x + 3) * and My (0) = + bene + cena respectively. Assuming that X and Y are independent, find (a) P{XY = 0} (b) P{XY >0} (c) Var (3X - 6Y + 2). (d) EXY.
Find the average rate of change of the function between the given values of x. y = 1 + 5x + 0.5x2 between x = 4 and x = 6
14. Random variables X and Y have a density function f(x, y). Find the indicated expected value. f(x, y) = (xy + y2) 0<x< 1,0 <y<1 0 Elsewhere {$(wyty E(x2y) = 15. The means, standard deviations, and covariance for random variables X, Y. and Z are given below. LIX = 3. HY = 5. Az = 7 Ox= 1, = 3, oz = 4 cov(X,Y) = 1, cov (X, Z) = 3, and cov (Y,Z) = -3 T = X-2...
At the indicated point for the function, find the following. (Round your answers to the nearest whole number.) y = (x3 + 2x)3 at x = 2 (a) Find the slope of the tangent line at the given value. (b) Find the instantaneous rate of change of the function at the given value.