7.4 Question 6 Describe the translation for ABC → A'B'C'. A' 3 C' y A B' Your answer: C O (x,y) → (x+4, y − 1) (vvalv- 1 v± 1) B X

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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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Q: 3. u, = u, - sin x cos t, 1 >0 В.С.: и(0, г) %3D0, = () 1.С.: «(х, 0) %3D 0, u,(x. 0) = 0

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Q: (15) Given two functions u(x + y) and v(x + y), what is Vu × Vv? Don't show it using an example. If…

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Q: f(x,y) be defined implicitly as a function of x and y by the 3xyz =exyz Əz Əz yay ax Əz Əz Find and…

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Q: 8. Use change of variables to find: a) The Jacobian if x=(u+3v), y =; -(v- 2u).

A: We will use concept of change of variables.

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Q: Find the curl and divergence of F(r, y, z) = (e**, -2e"², 3.xe"). Please show steps/explain

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Q: Q1\ Find the extremals of functionality

A: Given,            Jy=∫x1x2xy'2-yy'+ydx

Q: (IV). (10') Let u : 3 Find the coordinates of x with and x = respect to uj and u2.

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Q: Given the vector-valued functions е ú(t) = e5ti + e−4tj + tk - 3ti - 2t²j+ 3k v(t) find d = dt d…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

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Q: ら)1f u-L -*9 sin (2x ty), x = s? + 2t" and y= 2s -t" au using at find the chain rule Ond as

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Q: Find the maximum and minimum values of the ratio x’A x/x'x for any nonzero vectors x' = [x1, x2, X3)…

A: We have to find maximum and minimum value of ratio x'Ax/x'x

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Q: O Civen w (2-31, XL-4,9),Y(S,y) and z(-1,1) find the Value so that ux LYZ

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Q: + ze k and =*(j-k).curl w , In yz z+y If w=sin xy i+ find the derivative of f at point (1.4,0,0) in…

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Q: 6) Find solution of the particular y"-2y'+y=x²-6x+ 2x

A: 6)Here the given differential equation is y''-2y'+y=x2-6x+2xe2exlet y=emx be the trial…

Q: 22 Find the Directional Derivabive of Pary,z)= xg-y2'+Z at the point CI, -2, 0) in the direcbion of…

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Q: Which of the following equations determines E(XY)? »(x, x y (х, у) ,(x,

A: we have to determine the correct option of E(XY)

Q: - Let f(z) = cosh z. (1) Find the image of S := {z = x+iye C: x < 0,0 < y < } under f.

A: Follow the steps.

Q: Question 8 Suppose f(x, y) = x²y + xy³. Find fry (0, 1). A) 2xy + x²y' + y² + 3xy²y' B) 5 C) 3 D) x²…

A: Given: fx, y=x2y+xy3 To find: fxy0, 1.

Q: 11. Integrate the function. y? dy (49 – y²) 7y y + C V49 – y2 – sin y+C -1 - V49 - y2 | O A. O B.…

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Q: Evaluate f Im(z – i)dz where C is the contour from z =1+ 2i to z z = i to z = -i.

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Q: A particle moves in the xy plane so that at any time -2 ≤ t ≤ 2, x = 3 sint and y = t - 4 cost + 1.…

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Q: ∇⋅F of F = (2x3y)i-(3y2z)j+(xz3)k at (1,2,-1). a. 27 b. -34 c. 4 d. -7

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Q: . Evaluate SF.dr: ▪ F = (x+z)i +zj+yk. C is the line from (2,4,4) to (1,5,2).

A: Since all subparts are different and not interlinked so as per our guideline we are supposed to…