ở =< 1,1, –1 >, then If f(x, y, z) = In(2 + x² – 2y² – 3z), Duf(2, –1, 1) = A) % 11 V3 В) 11 C) D) - E) OC O D OE O O O OO

Q: et z = r²y – ry², I = e *,y= e*, then which of the following is O a. 2et + 2e 2t O b. 0 OG -2e4 – 2e…

A:

Q: then E(y) and V(y) are

A: here given , y =  5x-1  E(x) = 2,  v(x) = 1

Q: 1 dx. Compute O V5 V2 2 V5 2 O 2/5 – 2/2 O V5 + v2 2 V5 – V2 - 2.

A:

Q: If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

A: It is given that, w=fr,s,t, r=x-y,s=y-z,t=z-x.   The objective is to find the value of…

Q: 4. Let u = and v = and w = Compute (u x v) x w. %3D 3

A: u×v=ijk-211103=3i-j-6-1+k0-1=3i+7j-k now find u×v×w u×v×w=ijk37-1-111 =7+1i-j3-1+k3+7 =8i-2j+10k

Q: Re(z,€,) = Re(*,)R (z,) O True O False

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Q: Let V = xi+ 2yi + Ozk, then [v-V =

A: ∇ is an operator and ∇=∂∂xi+∂∂yj+∂∂zk

Q: O Find the domin und Rang for O fCx), X1 X2+1 6 fの の fus=Fx O Pcx) =ス+メー1 %3D G Fo)= 1xー31 メ-3

A: Given that   The following functions  To find the range and domain

Q: f(y) = 3{/v +Vv- 2V a. f'(V) = 12y O b. 9Ny-6Vy-8/y 12y Oc. 9y +6Vy- 8v 12y O d. 9+6Vy +8Vy 12y

A: Topic:- Derivative  correct option = c

Q: If f(z) = z² − (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

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Q: Let xer" and ge I show that =yex is an imer product.

A: I have to show that the given relation satisfies three conditions to be a inner product

Q: F.T. 3) If X(t) + y(t) = x (2t - 1) =it W+1 Ans: Yow) = [4+jCW+1)]² X(w) and X (w.) = -j(w+1) e 2…

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Q: What is the least accumulative cost from cell course (0) to cell X? a b 1 3 4 d e f 4 7 3 9 10 |3 h…

A: the number of rows = 4 and columns = 4   1 2 3 4   A 1 3 6 4   B 4 6 7 3   C 8 9 10 3   D…

Q: Let X and Y be iid N(1,3). Let U = 4X + Y and V V_dependent or independent? Justify your answer. 2X…

A: Given X  and Y be iid with N(1,3). Mean, μ=1 Standard deviation, σ=3  U = 4X + Y and V = 2X — 3Y

Q: Let Find A = x³y 1-2xz] + 2yz k Vx(VxA).

A:

Q: Let w = -4xy – 5yz – 4xz, x = st, y = et, z = t Compute (3,4) = as (3,4)%3D at

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Q: en ủ × ʊ = (2, 3, 4), find (ũ − 4v) × (ũ + 3v).

A: Topic:- vector algebra

Q: b) If x = u(1 + v) and y = v(1+u), find vx, Ux and a(u,v) a(x.y)

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Q: [x +1 0 2 1 2 (3)if A = 3 1 and B = 3 y -5 4 -1 -5 4 z - 4. Find x,у аnd z.

A: If two matrix A and B are equal then Each matrix of A and B has the same number of rows. Each matrix…

Q: U %3D {x\x € N Лх> 1},А %3D {-2, —1,0, 3, 6, 7, 9}, С %3D {6, 7, 8,9, 12,13}. Find: a) AnC b) AUC с)…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Find and d?z and prove that 2 0²z IF 2 = f(xt ay) + F CX-ay) %3D

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Q: WORX Gavlen flw)=x-d g6)= V-(x-6)" WOP Mekong Delta Find the derivatve Nlx) guven

A: Given:- f(x)=x-2 g(x)=4-(x-6)2+2 h(x)=x-6 We have to find the λ'(x)=? Given that,…

Q: 2. Show that the equations f(r, y,P. q) = 0 and g(r, Y.P. q) = 0 are compatible if %3D %3D a(f,g)…

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Q: Let f(x,y,z) = x² e Vy*+ Compute f(3, - 5,3) and f(5,8, - 6).

A: Given that     f(x,y,z) = x2 e√(y^2+z^2)

Q: Find f, and f, and evaluate each at the given point. 7xy f(x, y) = (1, 1) 2x2 + 2y2" 5,X, v) %3D .…

A:

Q: Let f(x, y) = In(x²y³), where r = s? + t? and y = 2s + 3t. Which of the following is a correct…

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Q: In(2 + x – 2y2 – 3z), 7 =, then If f(x, y, z) Duf (2,-1, 1) = - A) 11

A:

Q: 4. Evaluate: [ 1 dt. Vt2 –6t+13

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: Let C: |z-i=3 and I = §. dz 2z dz. Then %3D

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Q: Let 2 u = 3 v = 2 w = 4 c = -2, and d = 3. Compute each of the following: (а) и + v (b) cu + dw (c)…

A: Given: u=23-1, v=-124, w=01-1, c=-2, d=3 For finding value of u+v, we add matrix u and v So,…