6 Let (u, v) be the inner product on R² generated by A = - [ -1 and let u = (3, −5), v = (7,4). Find (u, v). (u, v) = 1 -2 ]

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

A:

Q: Find 4rye®y? dA, where R [0, 1] × [0, 2]. R

A: The objective is to find the double integration where  R=[0,1]×[0,2]

Q: Prove (z1z2)bar = (z1)bar (z2) bar

A: The objective of this question is to prove that the conjugate of the product of two complex numbers…

Q: ) Differentiate: Y(u) = (u-2+u-³)(u³ + 3u?) и и

A:

Q: Translate Q (0, -8) using (x, y) → (x - 3, y+ 2). Your answer: O Q'(-2, 5) Q' (3, - 10) O Q'(-3, -6)…

A: The transformation is, (x,y) ------> (x-3, y+2) So, (0, -8) ------> (0-3, -8+2)

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

A:

Q: Why do we get cov(y0, y0) instead of cov(yt, yt)

A: Given MA(3) process

Q: show that the function 3x²y-y³ ty is he harmonic and then find it's Harmonic conjugate v (x, y)

A:

Q: |(u+ v) x (u – v)I = 2|u x v|

A:

Q: z is a complex variable z=x+iyFind all points of discontinuityf(z)=(3z^2 +4)/(z^4 -16)

A: To locate the points of discontinuity of the given function f(z) of the complex variable z.

Q: If F = ⟨F1, F2, F3⟩ what is div (curl(F))

A: F = ⟨F1, F2, F3⟩

Q: S 22² +2+1 dz, where с Z² +4 b) Compute i) ( = {Z : 121=1} ii) C = {z: 17-i |=2} 17 (iii) C = {z :…

A:

Q: + xln\ V 1 – x° | dx

A: