Find the DFT of [1, 2, 0].

Q: Now we can do something similar with the two 2-point DFT's to get equations for a; for j = 0,1,2,3:…

A: Given: D.F.T.α0,.....αN-1j=∑k=0N-1αke2πikjN,   j=0,1,....N-1To find: Expressions of two 2-point…

Q: are orthogonal on einmx/L, n = 0, ±1, ±2,... [-L, L] with norm equal to √2L.

A:

Q: 7x-2 b) xp: 3x-1

A:

Q: Find the principal value of (1– V3i)".

A:

Q: 6. Prove that "x² dx = b³a³ 3

A: If F(x) is the anti derivative of f(x) in the interval [a,b] then

Q: Find the family of orthogonal trajectories of the family: x² + 4y² = c.

A: The given curve is x2+4y2=cWe have find the family of orthogonal trajectories of the given curveThe…

Q: Use Cauchy to integrate the following T ez - e-z 24 dz

A: The integral  is :The main to evaluate the integral using the Cauchy formula

Q: evaluate using the appropriate method or combination of methods.

A:

Q: 2 w2 In(w) dw

A: To evaluate the integral ∫12w2lnwdw

Q: Find:

A: Given,

Q: Show that Cov(aX+b,cY+d)=acCov(X,Y)

A: We Know that, Covariance between any two random variables is given by,  Cov(T,Z)= E(TZ)-E(T)*E(Z)…

Q: L(x) = b) Use the linearization to approximate 125.1 ~

A:

Q: Use reiation Ship: the fcx) (x) To Calculate Js?

A: Here, we need to calculate √8. In other words, we need to find the root of the function f(x) = x2 -…

Q: If Y - Exp(2) and Z ~ Exp(3) are independent, what is pdf of W = Y + Z?

A: Concept Sum of independent exponential distribution is gamma variate. Suppose X1, X2...,Xn ~exp(@)…

Q: Compute the Jacobian for the substitutions x = ρsinφcosϴ,  y = ρsinφsinϴ,  z = ρcosϴ.

A: