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1) Graphically determine the convolution of the x[n] and the unit step sequence u[n]. Include a sketch of your answer.
2) For a causal, continuous time LTI system, determine the impulse response given the transfer function H(s):
H[s] = (5 + 2s)/(s2 - s -6)
3) Using time domain techniques, determine the impulse response of the following discrete time LTIC system (subject to zero initial state):
y[n+2] +0.5y[n+1] - 0.14y[n]=2x[n+2]+x[n+1]
4) Determine the inverse z-transform given:
X[z] = (1 - 1/2.z-1)/(1+ 3/4.z-1 +1/8.z-2) |z| > 1/2
5) Starting with the definition of the z-transform, show that the discrete time Fourier transform is equivalent to the unit circle in the z-plane.
Firm PQR produces a product 'Alpha' under perfect competition market conditions. The cost function for the firm is:
A company is planning its advertising strategy for next year for its three major products. Since the three products are quite different, each advertising effort will focus on a single product.
Find the equation of the tangent line to the graph and Find the velocity and the acceleration of the particle and position of a particle moving along a straight line
Define the MAD and the SSE - Given the tabulated results, discuss what value of you would recommend - Write down an expression for the probability generating function G(z) of the offspring distribution.
Assume your ?rm has 20 shares of equity, a 10-year zero-coupon debt with a maturity value of $200 and warrants for 8 shares with a strike price of $25. Calculate the value of the debt, the share price, and the price of the warrant.
Problem: For each of the circuits shown below, find the output voltage. Draw the waveform and show all voltage values. All diodes are silicon with a voltage drop of 0.7 volts unless otherwise stated.
questionuse the crank-nicolson procedure to solve the following partial differential equationnbspfor 0 le x le 1 taken
If the answer to (a) is no, how can the formulation be manipulated to become a network problem? Draw the associated network. (Hint. Add a redundant constraint introducing a fictitious node.)
MAP 6108 Mathematical Modeling Assignment. Write down two independent families of characteristics for the pde. For the initial condition U = e1-x + x2 on the initial curve y = -x, determine the number of solutions for the IVP. Your method of determin..
Problem: Consider the curve defined by the equation x4 + y4 = 4xy + 52. a. Find all points on the curve at which the tangent line is horizontal.
1. Discuss the Chinese governments influence on the value of the yuan and how this is affecting the U.S. economy. 2. In today's economic environment, which factor appears to have the greatest influence on the value of the U.S. dollar.
Find the enthalpy of steam at 0.4 MPa and 0.7 dryness and determine the amount of heat required to convert 4Kg of water at t=38 degrees C into dry saturated steam at 1 MPa gauge pressure
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