R d2 dt K. Let C where and9-0

Q: Values a and b satisfy (a + 1)2 + (b − 23)4 = 0. Compute the value of ab.

A: We have been given the equation (a + 1)2 + (b − 23)4 = 0

Q: Verify that (AB)T = BTAT.

A:

Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

A: vector

Q: 4. Swin (w - 2) dw

A: The given integral is: I=∫wlnw-2dw   Apply the integration by parts to solve the above integral.…

Q: 2+3jy X-j

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

Q: Find X ,Y and Z

A:

Q: d 7. { x7 +1 Væ5 + 1 dx

A:

Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: M 15 J L

A:

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: x²+x 7. Evaluate , S, xdydx . -1 J2x²-2

A:

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

Q: z - 8 j, k, 64y3 + 125 I. -60x² +315x - 75

A:

Q: Find (3u − v) ∙ (u − 3v) when u ∙ u = 8, u ∙ v = 7, and v ∙ v = 6.

A: Given, u ∙ u = 8 u ∙ v = 7  v ∙ v = 6 To find:   (3u − v) ∙ (u − 3v)

Q: If (x and jy)² = 3 + j8, find x and y.

A:

Q: 9 Give with an not example of T: W≤X →Y, to XT Ext. .R. boundedag. - keše bes

A: Please find the solution innext step this is an non-example of Tietze extension theorem in Topology.

Q: dt 2 +1)

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Q9. (0,3) – 2i +1 = а. - 2i + 2 b. -2 – 2i с. (-1,1) d. (1,–1)

A: Substraction of two complex numbers

Q: Let A = -2 3 1 0 -1 1 0 2 1 Then cofactor, C2,1 =

A:

Q: Estimate f(2.1, 3.8) given that f(2, 4) = 6, fx(2, 4) = 0.9, and f,(2, 4) = -0.2.

A:

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

A: Solution:

Q: Calculate AB – 2CT where 1 2 A -1 0 1 1 2 1) В C = 0 1 (-3 2, -

A: Given the matrices A=12101-1,B=-1021-11,C=-21-32. Calculate AB-2CT.

Q: Find ||v||. v = - 5i - j

A:

Q: II Which of the following operators are linear? > LU = Ux + xUy > (ii) LU = Ux + U² y

A:

Q: Find csc 0. (-5, V11) [?]/[] r

A:

Q: Find US R U X+ 3r 30 S T 42

A: Step 1: Step 2: Step 3:

Q: | Find JW if JW= 6x +2 and JB = 10x + 1 K W A B.

A: Given :  JW= 6x+2 JB=  10x+1