Q. Let S = {(x, y), x² + y? = 1} C R2, then S is homeomorphic to a. {(x, y), a² – y? = 1} b. {(x,y), x +y = 1} c. {(x, y), 4x2 + 9y? = 36} d. R? - a O b O d

Q: 6. ī = 2ĩ – j – k , w =-67 + 3j + 3k

A:

Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

A:

Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

A:

Q: nl(-2x)- 3ln (1422) x + 0 ×ニO (-001)->R if the function ) is value contrnuous what of a al o b) 1/4…

A:

Q: -4 and C = 7 A = y В 1 3. Let Find x, y, z 2 -3 such that AB =C.

A: The matrix multiplication of two square matrices is performed as follows. Let P=ab cd and Q=ef gh .…

Q: Evaluate fr (y-x-3x²i)dz where C is the straight line from z = = 0 to z = 1 + i. 2+i

A:

Q: For what valunN vt c iv le (1, 2,3) | - 1 ? A. 14 B. -J14 d. tJ C. į J 14

A:

Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

A: Given query is to find the derivative.

Q: The real part of (11x + 1 + iy)dz where C is the line joining 1- i to 2+ i is Answer:

A:

Q: Show ALL WORK I. Find: dz a) for z=(x-y)5, x =5²t and y=st 2 b) dz for 2= (x-y), x=5²t and y= St

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: If R = {(r,y): (x- 1)2 + y² 0}, then 6y dA a. 5 O b. 8. d. 9. 2. 1.

A:

Q: 09. Find all le poista whe flaWe 25x-91 fale to bo diclerenti alle %3D

A:

Q: jw)² +5jw+6 =(jw)² +3jw+2jw + 6 =jw(jw + 3) + 2(jw+3) (jw+3) (jw+2) I

A:

Q: 1- Sz x?e*y dxdy 2 exy 3

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: 5. Evaluate 5z + 4 z² + 2z dz where C is the contour shown below. iR i of 1 +R

A: Given ,               ∫c 5z+4z2+2z where  'c' is a contour  in the given figure . (.)  Cauchy's…

Q: if was T:R>R Linear identifier grandfathero kert O I mT

A:

Q: 5 Let V1 -B-A-el and y = = 8 A B = For what value (s) of his y in Span{v₁, V₂}? (E) h = None of the…

A:

Q: L? + y) da + (x + y?) dy ; C: AB, A = [1,3] → B = [3, 0] C: AB , A = [1, 3] → B = [3,0]

A:

Q: d. Vx e R+, 3y e R+ such that xy = 1. Select one: O True O False

A:

Q: Find aw av aw - dv 2 y when u = 0, v = 0 if w = x² + x₁ x= u=0, v=0 +,x=6u-5v + 1, y = 6u +2v-6. X…

A: Given that w=x2+yx, x=6u-5v+1, y=6u+2v-6. We have to find the value of ∂w∂v when u=0, v=0.

Q: expression fory 2 cx+

A: Given           y=Ax3+Bx2+Cx+D then                    y'''=

Q: What is the distance between the given pla P₁: z=x+2y + 1 P2: 3x + 6y-3z = 4 O 0.95 O 1.50 O 0.14

A:

Q: 4. Evaluate both sides of Green's theorem, for: F = (-x²y,xy²) where C is shown in the following…

A:

Q: What is the distance between the given planes? P1: z= x + 2y + 1 P2: 3x + 6y - 3z = 4

A: To solve the given problem:

Q: Q: If the point (x, y) is equi distant from the points (a+ b,b-a) and (a-b,b+a). Prove that bx = ay.

A: Use given conditions to prove bx=ay

Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =…

A:

Q: I put the answer 0,-3,-2 but that was wrong

A: The objective of the question is to find the vector z given the equation 2u + v - w + 3z = 0, where…

Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

A:

Q: Find ∂w/∂v, if w = 3x4-5y3+z5-10, x = 3u-4v, y=5u+2v, z = u+8v. Write in terms of the two…

A: Chain rule of derivatives

Q: Find V. (F × G), if F(x, y, z) = 5xi +j+ 7yk and G(x, y, z) = xi+yj – zk. - V. (F × G) =

A:

Q: Evaluate (x – 2y + z) dS. S: z = 8 – x, 0 <x< 8, 0 < y< 7

A: Given I=∬S(x−2y+z)dSS:z=8−x,0≤x≤8,0≤y≤7

Q: Frd he e of teepkan in the at quectert baurded on he let ty he ydx, bebw by tte carve x- boletby…

A:

Q: Find V. (Fx G), if F(x, y, z) = 4xi+j+13yk and G(x, y, z) = xi + yj – zk. V. (Fx G) =

A:

Q: 3. Let R= {(x, y) : x² + y² 0, y > 0}. Evaluate // Vz? + y² dA x2 +y? dA R

A: using polar coordinates x=rcos(θ)y=rsin(θ)x2+y2=r2,dA=r drdθ

Q: j √(6y 7 + 9z 7 + 6xk) · d7 where C is the boundary of the triangle with vertices (3, 0, 0), (0, 5,…

A: First parametrize the boundaries of the triangle. (3,0,0) to…

Q: Find x, y and z: 8. 12 3.

A:

Q: xy Let z . Then: 4x2 – 5y? | az dz ду

A:

Q: -3z +2 z²-8z+12 Sez dz, C : |Z| = 9

A: