Let a = 1-j+ k, b = 4i + 5)-k, and c - -I+j+ 4k. Find the Indicated quantity. a (b x c)

Q: [1 Given that A 1 1/3 and A = -I, d %3D C What is the value of C?

A:

Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: Find the value of zo so that dz = - 2ni . %3D = 9 (z – zo)(z – 15i)

A:

Q: If (x + iy)/3 = 3 - 4i , where x, y e R, evaluate O a. -50 O b. 50 O . -28 O d. 28

A:

Q: Ba for what Values of a and bis -2 fEx) %3D ax +b 3. Continues at every x?

A:

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 5u − 2x = 3v + w

A:

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3u + 2x = w − v

A:

Q: Find a suitable A and B so that: A < S, Vx+4 dx < B

A: The given integral is ∫29x+4dx First evaluate the integral as follows.…

Q: -R show that D-2D-31 =0 and hence find D", (b) Given that D %3D

A: inverse of matrix

Q: af 7. Compute and дхду a²f : f(x, y)=x'y² – sin 2 + xe" - əx' əy

A:

Q: (r) = -2Jp(x) + J,-1(x) = 2Jp(x) – Jp+1(4). %3D

A:

Q: (c) If f (2) = (2³ + 6) e'0-, 10z and f' (6i) = re®̟ then what is the value of r² ?

A:

Q: Select the correct answer from each drop-down menu. (5 – 31)( +iy) (4 – 5i) = (2+1)²–(3–4;)? %3D If…

A:

Q: Find the number in the interval[ – 1, – 0.25] so that the sum of that number and its square is ma…

A:

Q: a) (N", N) T'xT" = x'@

A:

Q: Find x and y given that (x+yi)/2+i = (1-i)/2+3i

A:

Q: 8. If x = 1- 1 and y = In 1, what is in terms of 1 ? dx (B) 21 (C) -- (A) (D) 212 (E) 214

A: Given x=t2-1,  y=lntdxdt=2t,  dydt=1t Now,  dydx=dydtdxdt=1t2t=12t2

Q: 6) Given that h(x,y) = e**y® _ ¥² Find hxx, hxy, hyy, hyx

A:

Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

A:

Q: c) Show thiat det a q² -k-1)(61)-) I <a<b %3D

A:

Q: 2n P(X = n) = c, n= 0,1, 2, .. n! a) c sabitinin değerini bulunuz. b) P(2 s x < 3) =?

A:

Q: J 2+2 cot (2²+42 - 3) -dz

A:

Q: ху? + х — 2у + 3)ӑx + x?ydy %3 2(х + у)dy, when x %3D1, y %3D 1

A: Answer and explanation is given below

Q: 10. What is 2ri 2 fo, h (z) dz?

A: curve C3 encloses points of singularity z=-2 and z=0 in clockwise and counterclockwise directions.…

Q: Given that 3xVx² + 4 dx = 5/5 – 8 what is [ 3u /u? + 4 dư?

A:

Q: If A = *yzi – 2x² j + xz? k and B = 221 + yj – x° k, find za (AXB) at (1,0,–2). Ans. -41 - 8j

A:

Q: Find the value of zo so that dz = -2ri Izl=13 (z – z0) (z – 14i)

A: Given integral is ∫|z|=13z(z-z0)(z-14i)dz = -2πi   ---(1)

Q: Third D

A:

Q: Let a = (x + y)i + 2j + yk and b = 3i+ (4.x + y + 1)j + 4k. Find values of x and y such that a l b.…

A: Givena=(x+y)i+2j+ykb=3i+(4x+y+1)j+4k

Q: If x=⎛⎜⎝23i1−i⎞⎟⎠x=23i1−i and y=⎛⎜⎝−1+i23−i⎞⎟⎠y=−1+i23−i, find(x, y)

A:

Q: cosh(3z) dz COS Sc z(z2 + 9) C

A:

Q: Find the values of x and y. J4 + (x + y)i = 4 – i x + 3i = 4 + 3i X = I| ||

A:

Q: (ii) Assume that d = in E-coordinates and 7 in B-coordinates. y' Find a' and y' expressed in x and…

A:

Q: Ifx.y,z are real numbers satisfying the equation 25(9x + y) +9:*–15(5xy + yz + 3:x)= 0 then prove…

A:

Q: 1) . (x + y)e*-y´dA where R is the rectangle enclosed by x – y = 0,x – y = 2,x + y = 0, and x + y =…

A:

Q: Determine the real number \( \alpha \) u x v and î are orthogonal, where ù = 3î + ĵ– 5k and v = 4î –…

A:

Q: ii. (x + y)dA Where R = {(z, y)|1 < x² + y? < 4, x < 0}

A:

Q: 3. If å = 4i + 2j + 4k ,b = -2i + 4j – 3k and č = 4i + 5j. If a + xb is perpendicular to c then find…

A: Given, a→=4i+2j+4k b→=-2i+4j-3k c→=4i+5j

Q: Let a - ci +j and b- 9i + 12j. Find c so that the a %3D Round your answers to four decimal places…

A: Use dot product

Q: Determine the value of k if |I +k dx = 2.

A:

Q: If z=x+iy where x and y are real, find the real and imaginary parts of:- Z+1

A:

Q: 2- SSi dA A A-{(,3):x7, ソプ andy=x, xy=6,火=8 14.4)' %3D Ans (448) Az ーに

A:

Q: - Given a=i+j, b= i - 2k and c = 2i +3j then c x (a x b)

A: Given: a=i+j , b=i-2k , c=2i+3j

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A: The given integral is ∫01∫01∫0y12xzezy2dxdydz. The main objective is to calculate the value of the…

Q: Use the algebraic definition to find ix w if i = 2i + 2j – 3k and w -2i +j- 3k. - %3D i x w =

A: Given: v=2i+2j-3k And, w=-2i+j-3k

Q: Find the indicated quantity, assuming that u = 2i + j, v = i - 3j, and w = 3i + 5j. (A - n) . (A +…

A: The solution is only for first problem because of bartleby policy.

Q: H = 2 = 0, n2 = 22 and n, 18, thus df is: %3D %3D

A:

Q: solve ut = o.16 U xx %3D a sx<5O 560 U(x,o) u(o) t) = U(10,t) =0 %3D 40

A: Given PDE is ut=0.16uxx           (1) with boundary condition u(0,t)=u(100,t)=0,              (2)…