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4. Find y(n) in terms of x(n) and h(n) (which can be complex), if (a) Y(k)...
Find N-point DFT of x[n]= n=0,1,…,N-1 X[n] = Using the periodicity of the complex exponentials, we can write x[n] follows: X[n] = The DFT coefficients are 9N/2 k=0 X[k]= N/4 k=2 and k=-2 0 else
Name Test EGN 3420 (N. Ghani, Fall 2017) 2) A. Consider a complex numberx+ y j) Write an expression for Re(z) and the polar form of e ii) Ifw=-, simplify the expression free Show if the following expressing is true or false: z" = (z)" C Given the m-th roots of a complex number , iez, wrte an expression for the m-th C Given the m-th roots of a complex number z, i.e., , write an e roots of zin...
1 2 2 1 -X Find the determinant of the matrix as a formula in terms of x and y. Remember to use the correct syntax for a formula 0 0 1 -3 -x X Question 4: (2 points) a b c fis 3, find the determinant of these matrices: If the determinant of the matrix M = d e (gh k) b a C (a) 7 d 7e 7f h k -E. b-2 e c - 2 f a...
Consider a charge of +6×10^−7 C located at position (x=4,y=2,z=2)(x=4,y=2,z=2) m. We are asked to find the electric field at point P which is at (x=8,y=−2,z=4)(x=8,y=−2,z=4) m. What is the y-component of the electric field at point PP? Remember to give your answer in terms of N/C, and use k=9×10^9.
that h(mn ) h ( m)n, h ( ) and that if m < n then h ( m ) < n ( n ) = . Exercise 2.7.4. [Used in Theorem 2.7.1.] Complete the missing part of Step 3 of the proof of Theorem 2.7.1. That is, prove that k is surjective. Exercise 2.7.5. [Used in Theorem 2.7.1.] Let Ri and R2 be ordered fields that satisf We were unable to transcribe this imageWe were unable to transcribe this...
Exercise 1: The Taylor series for In(y) about y = 1 is (4) In(y) = 9 (-1)"+(v - 1) n=1 for y-1€ (-1,1] (that is, y E (0,2]). What polynomials do we get if we truncate this series at n = 1? n = 2? n = 0 (hint: the n = Oth approximation is defined!)? Compare the value of each of these with that of In(y) at y = 1.1 and y = 1.75. Note how the error differs...
Find a constant k (in terms of a) so that the function fxx (x,y) = e-(x+u) 0 << oo and 0 < y <a and O elsewhere is a valid joint density function.
DSP 4. (12 points) (a) (4 points) Let x[n] = {1,2, 1, 2} and h[n] = {1,-1,1, -1} be two length-4 sequences defined for 0 <n<3. Determine the circular convolution of length-4 y[n] = x[n] 4 hin). (b) (6 points) Find the 4-point discrete Fourier transform (DFT) X[k], H[k], and Y[k]. (c) (2 points) Find the 4-point inverse DFT (IDFT) of Z[k] = {X[k]H[k].
4. The energy of binding a transition state complex (X) can be determined by writing an equilibrium expression for the formation of the complex. (a) Fof the reaction AS X, what is the equilibrium expression? (b) What is the expression for the free energy of binding to the transition state (AG")? (c) What factors are needed to equate the rate constant k to the free energy of activation? Chapter 12 Enzyme Kinetics, Inhibition, and Control 119
4. a. Can you simplify the sum of the two leading terms to remove the angle parts: 22 cos? (0) arz + sin() arz =? Hint: it's really easy-what is the simplest trig identity you know? (5 pts) b. Now let's deal with these two "middle" terms. We can show that if you add them together then: How? Let's start by acting Y(r).() on the first term above: - (inco)cosapopt(cos(m)opsin cm) - k - (sin(e) cos() 0400:46 = - (sinca..cos(m)cm)...