explain Let P(x) = x + ax4 + bx3 + cx? + dx +e. P(4) = P(5)=P(6)=P(7)=P(8) = 0. What is the value of a - b+c-d+e? Numerically the answer is somewhat large, but it can be represented easily as a sum of terms, where the terms are a product of 1 or more small integers. You may leave your answer in this form, instead of calculating it out.
Given algorithm A(n): A(n): { A(n/4); for i = 1 ton sum++; A(n/4); } Fill in the appropriate expressions in the box provided: T(n) = TO ) + 问题6 T(n) = 4 Tên/3) + n T(n) = "Theta" 2:57 T(n) = 2 Tn/2) + 1 T(n) = "Theta" 098 T(n) = T/n/2) + n T(n) = "Theta" 问题9 T(n) = 3 Tn2) + n T(n) = "Theta"
A causal and stable LTI system has the property that: 〖(4/5)〗^n u(n) →n 〖(4/5)〗^n u(n) Determine the frequency response H(e^jω) for the system. Determine a difference equation relating any input x(n) and the corresponding output y(n). Question 3:[4 Marks] A causal and stable LTI system has the property that: 4 4 a) Determine the frequency response H(e/ø) for the system. b) Determine a difference equation relating any input x(n) and the corresponding output y(n)
Problem 4. Consider the field Z2[x]/(F), where $ = x5 + x2 + 1. In this field, we write abcde as a notation for ax4 + bx3 + cx2 + dx +e, where a, b, c, d, e are elements of Z2. For example, 11010 is a notation for the element 1x4 + 1x3 + 0x2 + 1x+0 = x4 + x3 + x. Compute the following. Make sure to write all of your answers either as polynomials of degree...
x(n)=2cos((pie/4)n)+cos((3*pie/4)n) implement in matlab the filtering problem
Prove by mathematical induction. 3 +4 +5 + ... + + (n + 2) = n(n+ 5). Verify the formula for n = 1. 1 1 +5) 3 = 3 The formula is true for n = 1. Assume that the formula is true for n=k. 3 + 4 +5+ ... + (x + 2) = x(x + 5) Show that the formula is true for n = k +1. 3+ 4+ 5+... *«* +2)+(( 4+1 |_ )+2) - +...
T(n) = 2T(n/4) + n - please explain steps
4. (20 points) x (n)-x(n-1) Consider the system y(n) -y(n 1) 4 (1) Find the frequency response of this system (2)Find the steady-state response when x(n) = 8cos(n π.π ). 3
N-1 N=2 N-4 N-16 Table 3: Question 4, Part2 Question 4: The Aggregate Production Function (30 Marks) This question focuses on labour productivity, labour demand, and generally on the production function. Assume that the Aggregate Production Function is represented by the following equation: Y stands for output, K stands for the capital stock, N stands for the number of people employed, L stands for the quantity of land used in production, and A stands for a measure of labour efficiency...
Suppose N 15 and r- 4 What is the probability of -3 for n-10 (to 4 decimals)?