Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
y" + 2y' - 24y = 16 - (x-2)e^(4x)
6. (4 marks) Compute the line integral SF. dr, where F(x, y) = (x² + 10xy + y²,5x² + 5xy) and C is the boundary of the square with vertices (0,0), (0,2), (2,0), and (2, 2), oriented counterclockwise.
The joint probability density function of random variables X and Y is given by f(x,y) ={10xy^2 0≤x≤y≤1,0 otherwise. (a) Compute the conditional probability fX|Y(x|y). (b) Compute E(Y) and P(Y >1/2). (c) Let W=X/Y. Compute the density function of W. (d) Are X and Y independent? Justify briefly.
Find dy/dx using implicit differentiation: 2log(x^2+y^2)+10xy=e^(x^2+y^2) 1
) A consumer's utility function is given by: U(x,y) = 10xy Currently, the prices of goods x and y are $3 and $5, respectively, and the consumer's income is $150 . a. Find the MRS for this consumer for any given bundle (x,y) . b. Find the optimal consumption bundle for this consumer. c. Suppose the price of good x doubles. How much income is required so that the Econ 201 Beomsoo Kim Spring 2018 consumer is able to purchase...
An insurance policy covers losses X and Y which have joint density function 24y f(x,y) , y>0. (a) Find the expected value of X (b) Find the probability of a payout if the policy pays X + 2Y subject to a deductible of 1 on X and 1 on 2Y. (c) Find the probability of a payout if the policy pays X +2Y subject to a deductible of 2 on the total payment X + 2Y
An insurance policy covers...
solve for c such that f(x,y) is a valid density function.
Seiten f(x, y) = 1<x<y <3 otherwise 0,
4. (a) Solve y' + 4xy = x using the integration factor method. (b) Solve the differential equation in (a) again using separation of variables.
[1+1 Write a program to solve the equation y = sqrt(5 {x}^{5) + 3 {x}^{4} + 10). a) In the function, you should take the value of the integer from the user b) The value of x should be between 1 and 9. Make sure that the user has not entered a valid value. c) Calculate the value according to the formula and print it on the screen. d) The value of the output variable y should be printed only...