a Use parseval's identity to prove that dt TC (a² + )(b + ?) 2ab (a + b)

Q: Evaluate the commutators of the operators (a) d/dx and 1/x, (b)d/dx and x2.

A: Given:  a)  ddx and 1x b) ddxand x2 To Find: Commutator of the operators

Q: 2+3jy X-j

A: (2 + 3jy)/(x - j) = 2j            (2 + 3jy) = 2j (x - j)              2 + 3jy = 2xj - 2j2 We know…

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: d2/dt2 (21t)

A: In general the second derivative is used to find the acceleration of an object . The second…

Q: xx X1+iy,=X2+iy20 2 X =X y= OךX

A: In the given question we have to choose the correct option from the given options  Concept: two…

Q: 14-t2 dt

A:

Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

A:

Q: re 1 da Ji rVI- (In x)²

A:

Q: Find the Re and Im parts of exp(z?)

A:

Q: Cakulate (3i+2j+k) • (i + zj - k

A:

Q: 17. Let f(x, y) = x'y4. Use Eq. (4) to estimate the change Af = f(2.03,0.9) – f(2, 1)

A: You have to just put the value in the function and proceed....go through the solution

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

Q: Verify that (AB)T = BTAT.

A:

Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

A:

Q: Solve 2y-y² sec²(xy²) + (2x−2xysec² (xy²)) y'= 0; y(1) = 2

A:

Q: Express −i+j in the form [a,b]

A: Simplification

Q: 2 In x 1 e* 2 1 In 2x -1

A:

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: 1 Evaluate (31-i)² dt 0

A:

Q: Find xy² Una -dA, R= [0,4] × [-2, 2] x² + 1

A:

Q: EX 1A Calculate the performances ATA, (BA)¹ kαi (A¹A)C - (BA) where ^-6 4), B = (871), C = (1/1 (5 A…

A:

Q: dt. 1+ 6 Jo

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: = kA modulo m for the given values of k, A, and m.

A:

Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

A: