a. f(U1)=V1, f(U2)=V4, f(U3)=V f(U5)=V3, f(U6)=V6 O b. f(U1) V5, f(U2)=V1, f(U3)=V f(U5)=V4, f(U6)=V3 O c. f(U1)=V3, f(U2)=V6, f(U3)=\ f(115)-VA E(L161-1/2

Q: Find ||u|, |v||, and ||u + v||. U= (-2,-1, 0, 1), v = (0, 1, 2, 4) (a) ||u|| (b) ||v|| (c) ||u + v||

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Q: U = {(x, y, z, u, x+y+z) inF5:x, y, z in F}, F5

A: Kindly refer to Step 2 for the solution.

Q: If u = 2i - 3j + k and v = i + j - k, then u x v is:   (2, 5, 3) (2, 5, -3) (2, 3, 5) (2, -3, -5)…

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Q: VX(VXF) =V (V.F) -v?F 0 صواب İhi

A: In this question we have to find the given property of curl f and del is true or not.

Q: dx 2V x3 - 3x Vx In(2 Vx - 3x x)+C O v6nV2 + V3 + C V3 Vx X 1 In 2/2" V2 - V3 Vx |/3x - V7 + C о 1…

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Q: 1) Let f(z,y)- . Compute DS(z,y) where u- (4-9)

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Q: The antiderivative of the function f(#) + 8* is -8 + 2.0a2 +e 4 +4.0a2 +c -4 + 16.0a? + c -4 4.0a2 +…

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Q: Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D.…

A: Given query is to find the derivative of the expression.

Q: Let F(x, y, z) = x3³yz² - 6x²yz + 9xz - 2y³z. Find F Fxyz' 3x²yz² - 12xyz +9z+ x³z² − 6x²z − 6y²z +…

A: This question is based on Partial Derivative.

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y)-1 a(x,y)'a(u,v)

A: Given: x=u1-v,  y=uv To verify ∂u,v∂x,y×∂x,y∂u,v=1

Q: Find u, v, and u + v. u = (0, 1, 1, -2), (a) ||ul| (b) ||v|| I (c) ||u + v v (2, 4, 0, 1)

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Q: (b) F= Ewxv(4, 5, 9, 13, 15) + d(0, 1, 7, 11, 12) w,x,y,z

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Q: If FGx) = -2x+s firid f(z)

A: Given: if f(x)=-2x+54To find: f(1)

Q: If Cov(x, y) = 0, that means: x and y are dependent. Option 2 f(x,y) = f₁(x)f2(y) Option 1 E(xy) =…

A: We have to tell If cov (x, y) =0 than which option is true.

Q: Which of the following is an antiderivative of f(x)= x-3 + 3e6z ? Select one: O F(x) = 긍x2+ O None.…

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Q: Let f(x, y, z) = yexyz², then fxz is: Select one: O (4xyz + 2x²y³z²)exyz² O None of these O (2xy² +…

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Q: Evaluate (r(t) · r1 t))l-2 where r1(t) = (t³, t“, t³), r(2) = (0, 3, 1), and r' (2) = (2, 4, 5) 42 O…

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Q: Find V x (V x F) if F(x, y, z) = 5xyj+ 9xyz k. V × (V × F)

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Q: 2. Prove that JAIVAVITU var (ax + by) = a²var (x) + b² var(y) + 2ab cov(x, y)

A: Let X and Y be continuous random variables with joint distribution function,   F (x,y). Let g (X,Y)…

Q: Cov(x,y)=v(y) if x=y True False оо

A: Given problem Given that   Cov( x,y ) = v( y ) if x = y Ans) True First Option

Q: Find free variables in the following formulas: i. ∀x(p(x) -> ∃y~q(f(x), y, f(y))) ii. ∀x(∃yr(x,…

A: A variable used in a mathematical expression, which is neither parameter nor local variable. That is…

Q: 5) Find ôw/ôv if w=x² +(y/x), x u-2v+1, and y= 2u +v-2, at the point (u, v) = (0,0)

A: We have to find all partial derivatives first.

Q: Find ||u||, ||v||, and ||u + v||. (1, -2, 0, 2), v = (0, 3, 2, 1) u = (a) ||u|| (b) ||v|| (c) ||u +…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: The solution for the IVP: Uxi u(x, 0) =2 x u,(x, 0) -ex. ux, () - 2x + (*-0-(**) O b. u(x,…

A: Consider the given information. utt=uxx                 -∞<x<∞t>0ux,0=2xutx,0=e-x D…

Q: c. P((X,Y) ¤ B3) where B3 = {(x, y) = R² : |x| ≤ 1, |y| ≤ 1}. d. P((X,Y) € B4) where B4 = {(x, y) =…

A: Given R={(x,y)Area of R=c.       Area of ,therefore     P((X,Y))==1d.   Area of ,therefore   P((X,Y)…

Q: Let g(x, y) = Vx²y². Find 1. g(1, 2) 2. g(4,1) 3. g(2, у) 4. g(x,2) 5. g(w, z – 1)

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Q: y= 22-2+5e X-3+ lncax) dy 2x-2+5e %3D da dac x - 3+ fnc Applying quotient rule = 4 - U'v - v'u %3D…

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Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

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Q: 2 2 ex: f(x, y, z) = x² - by ² fx (x, y, z) = fy(x, y, z) = fz(x, y, z) = 2 ezete

A: f(x, y, z) = (x2 - 6y2)/(y2 + 2z2)    => fx(x, y, z) = ∂/∂x [(x2 - 6y2)/(y2 + 2z2)]…

Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A: Solution:

Q: + xln\ V 1 – x° | dx

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Q: Evaluate f (xz + yz²) dV for the box B: 0 ≤ x ≤ 2, 2 ≤ y ≤ 4, 0 ≤ z ≤ 4. (Use symbolic notation and…

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Q: (Vx)(Fx ~Ax) 1) ~(3x)[Fx & ~(Gx & Hx)] 2) (Vx)[(Gx v Sx)Ɔ Zx] 3)~(3x)(Zx & Ax)] P

A: We have to solve  the  given  question

Q: 67 + 20y 6z- 20y af then is: If f(1,y) dy

A: