fin d the matia A' for T alative to He banis 8 T: R¬R, T(x,y,z)= (x-y+4m, Ax +y=z, x+4y+Z),

Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: 3 For V- , evaluate y' when y= 4. A) -4 B) 4 (c) -2 D) 2

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Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

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Q: then find x²°u +2x)y əxəy If u = (x – y)f(y/x), a2u then find x2 dx2 a2u + 2xy дхду

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Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: If WX = 3t - 45 and VY = t, what is Y? W V Y こ

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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: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

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

A: Given function is F→x,y,z=9xyj^+5xyzk^. To find:  ∇×∇×F→ Concept: Cross product formula for given…

Q: Consider Flx,y) = (3x2 +6y) i t (6x +4y%)j. (as Show that Fis lonservative a function Such Line…

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: A 4,-1) B(4,-2) find lime x approachesto1 from postve dinection.

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Q: ScF· dĩ, where F(x,y) = (6x - 2y)7+x²7, and C is the line segment Evaluate from (6, -3) to (0, 0).

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Q: Which of the following is equivalent to ¬VyP(x, y)? Vy-P(x, y) OVxVy-P(x, y) Oxy-P(x, y) -P(x, y)

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Q: Find -3ay dA Over the D ewith daianguler region Verteies (0,0) 2, 0), 0,4) 8- 9. 8. -16 d 68 -68 16

A: From the given problem the bounded region is shown as below: Now find the equation of the line AB:…

Q: The ordeng and transportation Cost C Cin hundred of dollars) for automobrle dealership is modeled by…

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Q: aw find if w = 2x²y- 2z and at 2t3 • y = 5e-3t AZ = 3lnt %3D

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Q: dw dw Find ду at the point (w, x, y, z) = (4, – 1,1,1) if w = 4x²y² + 4yz – 4z3 and x? + y? +z? =…

A: The given equations are w=4x2y2+4yz-4z3 and x2+y2+z2=3 at the point w,x,y,z=4,-1,1,1. Find the…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.