2. If g(x, y) — In(ху + у — 1), find (а) g(1, 1) (b) g(e, 1) (с) g(x, 1) (е) д(х, у + k) (d) g(x + h, y)

Q: 2) Show that 2m +1 m P(x) m +1 -xP (x) m+1 (x)F

A:

Q: .3 4 1 1) dzdxdy S² S³ S1²3 S₁ 0 1 z(y4+1)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Prove that Cov (x, y) = E (xy) – E (x) E (y).

A: Cov(x,y) is covariance of x and y. E(x) is expected value of x E(y) is expected value of y.

Q: 6* If T(h,k)(4, 2) = (7,-5), what point is (h, k)?

A:

Q: If A = 2 4 and B find: (а) АВ (b) А + B" (с) 2A' - В

A: Topic:- matrix algebra  Note:- as per our guideline if more than three subparts than  only first…

Q: If A = (a, b) and B= (b, c), find: (i) (AUB) (ii) (AnB)' (ii) A'UB

A:

Q: 3. If A = {1, 2} and B = {x, y}, then AXB = O {1,x), (1,y), (2,x), (2,y)} O {1,x), (2.y)} none of…

A: We have to solve given problem:

Q: 3) u = y f( ise XU, + yu, t zu. = ?

A:

Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: (1 3 A = 2 1 4 0 3 B = -1 -5 6. Evaluate A+B , 3A– 2B , AB', A'B .

A: If the rows and columns of the matrix A are interchanged, then we obtained the transpose matrix, AT.…

Q: If r(x, y,z) = (x² + y² + z²)!/2, find a²f a²f əx²'əy² ' a²f , аnd дхду

A:

Q: 2. Show that (a) Re(iz) - Im z; = (b) Im(iz) = Rez.

A:

Q: if uxv=(1,-1,2) then (2u-v)xv=

A:

Q: Vx3y P(x,y) is equivalent to 3x Vy P(x,y). True O False

A: Given that ∀x∃y Px,y is equivalent to ∃x∀y Px,y. To find that the statement is true or false.…

Q: 4. Let c+ d -c a+b . а - с с-d (e+ 2d 20 +1) = (d c a). %3D for some a, b, c, d ER. Then a + b+c+d%D…

A: To find  The value of a+b+c+d

Q: X - 3 in x2-4 (-00,-2)U(3,0) .a (-2,2) U (3,0) .bO (-0,-2) U (2,3) .cO (-2,2)U(2,3) .d

A:

Q: Find solutions of the linear PDE u, + yu, =0 , given that u(0, y)= y'. ди(х, у) ди(х, у) Notation is…

A:

Q: 4. If w = x²y + y²z + xz², show that дw Әх дw дw дz = (x + y + z)2.

A:

Q: (b) Show that (АВ) -1 — в-1А-1. (АB) -1 B-A-1

A: In this question we have to prove AB-1=B-1A-1. we know,X-1=1Xadj.A

Q: In ([0,0),Tcoc), if A = N, then A' = O a. (0,00) O b. [0,00) O C. O d. A e. A-{1}

A:

Q: If zxy2xsin(y)+x determine the following: હિ Verify that Əz 022 022 022 022 xoy ex axdy dyox

A:

Q: Find r, s, and t so that (a) z = 1 2 x, (b) z + u = x, (c) z − x = y.

A: Given  And z+u=x and z-x=y. We need to find the value of r , s and t.

Q: Salve, U+ + sux+buy=0 in R² [0,00) 4(x₂4₂0) = x+4 Subject to;

A:

Q: [1 3 0] If A = 1 2 Lo 1 41 then the Accompanying worker for 1. (a2) A. -4 2. (a32) 3. (a12) 4. (a22)…

A:

Q: 2 2 1+ 5+² µ² = (1 + 2/² ) E" - M+² = 2

A:

Q: What is the bigger perfect square of the square of 27

A: Given, We have to find the  bigger perfect square of the square of 27.

Q: 1. If u(x, y, z) find = 21 v(x, y, z) Jºu əx³əy² əzª x³y³ 25 and ე10 əx¹ Əy¹ əz² and w(x, y, z) Jw…

A:

Q: Let A = {a, b, c} , B = {1, 2} ,C = {c, d}. Find AUC, A x B, C x B, (AUC) × B, (A × B) U (C × B).

A: A U B = Set of all elements in A and B A x B = Cartesian product of sets

Q: I(m)r(n) Г(m + п) В(т, п)

A: The solution is given as

Q: 6. y = x2 (-2,4) УА О (1,6) (2,4) 3y=2x + 16 y=-2x+8 X

A:

Q: What are the coordinates of W()? (0, 1) 12 (-1, 0). 0, 2x (1, 0) (-, - 19 12 17 12 (0, -1) 02018…

A: Given: The figure as

Q: [1 -1] find 7. If A = | 3 0 |2 3 (а) А' (b) B' (с) (АB)

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact…

A: Given equation is as follows: un+1=un-1+un-1un-5un-3-un-5,   n=0, 1, .....................(10) The…

Q: Let a + 0. Assume that (5A – 3B) = I with | 1 2 3 A = 0 -4 -7 . Find ) 11 -1 the (2,3) entry of B.…

A: The given matrix is,A=1230-4-7011-1

Q: 3). B = (2 1 (5 1 and C = -3 :), find (a) Given that A = 7 3 -1. ЗА + 2B — С

A:

Q: (a) Given that, Un (ил-1) + 3(иn-2), и, — 2, иz 3, find uz , U4 , U5 , U6 =

A: By applying recurrence rule to given information we can get other values

Q: a2z + əx2 a²z If z = In(x? + y²), find ду?

A: Find ∂2z∂x2+∂2z∂y2.

Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

A:

Q: A = {a, b, c}, B = {b, c, d}, and С 3 {b, с, е}. (a) Find A U (Bn C), (A U B) n C, and (A U B) n (A…

A:

Q: ба 6a 6a А. 18а В. 18а" С. 216а D. 216а? REF

A: Volume of the cube = length × width × height