U=ey Find E(U) and V(U)

Q: Let f(z, y) = zy-y+a?. D.((1,2) =? where u=. OA- O B. -37 Oc- 37 OD.

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Q: dg 1 дд If g(x, y) = xy + y ln(ry), show that ду + y dr = x+ In(xy). dxðy

A: given: gx,y=xy+yln(xy) we have to show that: ∂g∂y-∂2g∂x∂y-y∂2g∂y2+1y∂g∂x=x+ln(xy)

Q: determine directional derivative f(x, y) = x²y³ – 4y on point (-1,2) on vector direction v = (2, 1).…

A: The partial derivatives of f at (x,y)=(-1,2) are : ∂f∂x=2xy3   and   ∂f∂y=3y2x2-4. Therefore,…

Q: If z = f(u, v), u = g(r, s), v = h(r, t), r = j(s, t), and s= k(t) then dz dž=fu(u, v) [g- (r, s)[j.…

A: Given that we need to check that the statement for the derivative as given below is correct or not.…

Q: YouTrylt 1 Find the derivative of the vector function. r(t) =(t sint, t, 1 cos(2t ) C.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the angle 0 between the vectors. (f. 9) = L R f(x) = 3x³, g(x) = 4x4, %3D f(x)g(x) dx radians

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Q: The equations ry? + 8xzcos(u) + ye" = 16 and r³yz + xe" (x.y,z)= (1,1,1) and (u, v) = (5,0). Find (u…

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Q: Let u = and v=. (a) Find ||u||. (b) Find u – 3v. -

A: Given: u=1,4,3  and v=2,0,-1

Q: Given u = 5) and v = (5, -4), calculate u· v.

A: u=<-4,5>, v=<5,-4>

Q: Vx{1,2,3,4} =y={1,2,3} (x, y) = A

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Q: 20. Let (). ()- u = v = If æu + yv = w. (æ, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2 (D) –1/2…

A: To find the value of x-y from the given vectors.

Q: Q/ Solve the di Pferential e quation y+2y-3y=7R-3x

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Q: Find u · (v x w). u = (4, 0, 0) v = (9, 9, 9) (0, 4, 4) w %3D

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Q: Show that the Cobb-Douglas function F(x, y) = bx" y" satisfies the equation ƏF ƏF + y (n + m)F(x, y)…

A: Given that the Cobb-Douglas function F(x,y)=bxnym We have to satisfies the equation…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs for…

A: Given: fx,y,z=3x+7yz 1,7,-1 To find: Maximum rate of change of f at the given point. The…

Q: et r(t) be the position of a particle in space at time t. Find the angle between the velocity and…

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Q: əz Use chain rule to find at where z = e2" sin (30) and r = st – t², 0 = Vs² + t². %3D

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Q: Find u - (v x w). u = (10, 0, 0) v= (1, 1, 1) w = (0, 10, 10) V

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Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

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Q: ôf Find dx fe for the following dy and x?y (a) ƒ(x,y) = y4 + 3

A: Consider the given function: fx,y=x2yy4+3 Here, the objective is to find the value of ∂f∂x and ∂f∂y

Q: Repeat Exercise 27 for the forces KX = (2, – 3) and KY = (- 2, 3).

A: The given two force vectors are, KX→=2,-3KY→=-2,3 When we find the addition of two vectors, then the…

Q: Derivative of the function f(x, y) = x³ – xy² at the point (1, 1) in the direction of vector ú = ai…

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Q: дz Find and əx дz ду' yz + x ln y = z²

A: Given query is to find indicated partial derivatives.

Q: 1. u= -1 estion 3: Given : Normalize u. 2. u= 1 and v= -2 Find the distance between u and v.

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Q: Find the distance d(u, v) between u and v. 1 3 [+0] 3, V = 1 2 d(u, v) = U =

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Q: et f(x, у, z) %3 ху + z', Р %3D (3, 9, 1

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Q: IF x = f(u, v), y =g(u, v) then gu fugv-fugu au 8x

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