Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

Q: у" — бу' + 9у %3 t'e", y(0) 3D 2, У (0) 3D 17

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Q: こ= (t)} () て= () %3D - (^),J %3D てんn ZトXC

A: →∫eax+bdx = eax+ba + C, where 'C' is the constant of integration.→∫xndx = xn+1n+1 + C

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Q: (c) S, y*/1- y² dy

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Q: Compute Δy and dy for the given values of x and  dx = Δx. y = x2 − 5x,  x = 4,  Δx = 0.5 Δy  =…

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Q: (zy+9)8 dydr

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Q: y.z) = j+zk then the value of

A: Given, F→=-yx2+y2i+-xx2+y2j+zk The curl of F is to be determined.

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A: Given:   y=lnxlnx+a

Q: Obtain characteristics y² Uxx + Uyy = O

A: Given equation is  y2Uxx+Uyy=0 Now comparing with  AUxx+BUxy+CUyy=0 We have A=y2, B=0, C=1

Q: JH = m m<W = %3D

A: Ever

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = xy

A: ƒ(x, y) = xy δƒ/δx = ? δƒ/δy = ?    While calculating δƒ/δx, y is considered as constant. While…

Q: Evaluate o y dæ – x*dy,

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Q: Find ƒxx ( x, y)  and ƒxy( x, y).

A: Given, fx,y=3x+yx-1. The objective is to find fxxx,y and fxyx,y.   fxxx,y is found as follows: First…

Q: F(x, y) = yi – xj

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Q: > Edit PDF Q::Min z' = 29 y,+ 45 y2 subject to 2y,+ 8y2 2 60, 4y,+ 4y2 2 60, • Combine P > Send…

A: We will solve this problem by using constraints

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A: For calculating these values we have to calculate an area and for that we have to plot a graph.…

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Q: i) (i × j). k = 2.

A: This can't be equal to 2.

Q: (ii) Assume that d = in E-coordinates and 7 in B-coordinates. y' Find a' and y' expressed in x and…

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Q: y" – y' – 2y = x+ e*

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Q: Find y' and y". y = In(x + V6 + x2) y' = y" =

A: we have to find derivative

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Q: ) find "c" s.t P(S² < c) = 0.95 if X{:n(µ, 12),n = 6, X² = 11.10. %3D

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Q: f(x, y) = 9 – x2 | R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2)

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Q: Sx 5x * rysin(z* + g*)dzdy Find 0.

A: Given:

Q: t y(T) dr = 4te¯t, y(0) =

A: We use the Laplace transform to solve the given question.

Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…

Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

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Q: Integrate: I+2dx + C

A: To solvethe following integral part

Q: (e) 4u +5uy +uyy +Ux +Uy = 2. %3D

A: To classify and reduce : The partial differential equation 4 uxx +5 uxy + uyy +ux + uy= 2  to a…

Q: Let R=[0,1]x[0,1]. xy3 dA= R.

A: Let's find.

Q: Find the value of x, y, a and b. 4. (x – j2y) – (y – jx) = 2 + j

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Q: T(x,y) = x + xy + y - 12x + 2 on the rectangular plate 0sx<9, -5<ys0

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Q: I = 4t? dt J2

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Q: integrate C.

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Q: Find 2 by using the Chain Rule with y as a composite of dx y = csc(u), u = x3 + 2. %3D

A: Given: y=csc( u) , u=x3+2  To find dydx

Q: Eliminate the parameter t: x = (v0cosa)t, y = (v0sina)t-16t2

A: *to find:- equation in the form of x &amp; y only, by eliminating the parameter t.

Q: in the form u = Rcos (wot-6). √3 sint u=-cost + V

A: The given problem is to write the given trigonometric term in terms of single term as u =…