Problem 6: Given two inputs x - (X I, o) and y (yi, yo), the output...
6. Write a function with two inputs x and y and one output z. If x = y, then the output should be z = 2x + y and if x >y then the output is z= x - y. test the result for (a) x=10, y = -2 (b) x = 5, y=6 Mathish
Runge-Kutta method R-K method is given by the following algorithm. Yo = y(xo) = given. k1-f(xy) k4-f(xi +h,yi + k3) 6 For i = 0, 1, 2, , n, where h = (b-a)/n. Consider the same IVP given in problem 2 and answer the following a) Write a MATLAB script file to find y(2) using h = 0.1 and call the file odeRK 19.m b) Generate the following table now using both ode Euler and odeRK19 only for h -0.01....
x (9 points) Given the initial value problem y' 2y 29, 2014 ,y (xo) = yo. Use the existence and uniqueness theorem to show that a) a unique solution exists on any interval where Xo 70, b) no solution exists if y (0) = yo #0, and c) an infinite number of solutions exist if y (0) = 0.
Consider a cost-minimizing firm that uses two inputs x, and x, to produce output y from the production function y=x"X, where a >0 and B>0. The competitive input prices of x, and x, are given respectively as w, and wz. a) Find the firm's demand functions for inputs x, and xz. b) Find the firm's total cost, average cost, and marginal cost functions. c) Show that if a +B>1 then average cost is always greater than marginal cost.
A firm uses two inputs x1 and x2 to produce output y. The production function is given by f(x1, x2) = p min{2x1, x2}. The price of input 1 is 1 and the price of input 2 is 2. The price of output is 10. 4. A firm uses two inputs 21 and 22 to produce output y. The production function is given by f(x1, x2) = V min{2x1, x2}. The price of input 1 is 1 and the price...
Given a circuit with three inputs x, y, and z, and that generates an output for the following three conditions Condition A: x is false and either y is false or z is true; Condition B: y is false and either x is true or z is false; Condition C: z is true and either x is false or y is false. Write the Truth Table/equation for the unsimplifed version and then repeat after simplfying.
Could I grab some help on problem 2? Thank you 2. Suppose Yi, Yn are iid normal random variables with normal distribution with unknown mean and variance, μ and ơ2. Let Y ni Y. For this problem you may not assume that n is large. n (a) What is the distribution of Y? (b) What is the distribution of Z = (yo)' + ( μ)' + (⅓ュ)? (o) What is the distribution of ta yis (d) What is the distribution...
part c Problem 3 [10 points a) (5 points) Construct a circuit that takes as input a 3-bit number X-XXXo and increments it by one. L.e. if the input is 101 the output should be 110. Use only half adders. b) Construct a circuit that takes as input a 3-bit number X-XXxo and decrements it by one 1. (5 points) Show the truth table of the circuit. Then use a decoder and additional gates to implement it. So Ys Y2...
2y 1. (9 points) Given the initial value problem y' = y (xo) = yo. Use the existence and uniqueness theorem to show that a) a unique solution exists on any interval where x, 60, b) no solution exists if y(0) = % 70, and c) an infinite number of solutions exist if y(0) = 0.
[5 pts] Design a circuit with three inputs (x,y,z) and one output that outputs true if the binary value of the inputs is a perfect square (it's square root is an integer). Construct the truth table, simplify using a K-map, and draw out the logic circuit diagram [5 pts] Design a circuit with three inputs (x,y,z) and one output that outputs true if the binary value of the inputs is a perfect square (it's square root is an integer). Construct...