Q2)A) If U (x,y)%3DXY-sin n is a function and x,y are function of r,9 defined as follow x =r cos 9 y =r sin 9 find Jacobians matrix ?

Q: Which of the following is not true for the differential operators A, B, and C? A (A+B) +C = A+ (B+C)…

A: Differential operator

Q: Tentukan pembuktian dari pertanyaan yang dilingkaran biru

A: As per norms, the first three questions are answered.To prove the required identities and compute…

Q: Find the general solution of y " - 7y " + 16y' – 12y =0 given that r = 3 is a root of the…

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Q: (a-B) show that cosa – cosß = -2sin+P) sin 2 2.

A: We have to show that the following results.  For this we can use some trigonometric results

Q: Let F = cos(4t) i + 3tj+ 4t°k and G = t cos(4t) i + t j+4e#k Find the cross product F x G =

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Q: Verify the orthogonality condition of each of the equations y" - 2xy' - 2ny = 0 11 ( where n is a…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: If F(s) = 1/(S-2), then f(t) is %3D a) e²'u(t) c) u(t-2) d) e"'u(t) -2t b) u(t +2)

A: Given Fs=1s−2 We have to find the ft Use definition of inverse Laplace transform, which is given…

Q: Show that ePt cos qt and ePt sin qt are linearly independent.

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Q: find all values of unknowns which satisfy the following equations: 1. (x, y, z) - 3(-1, 2, I) = (0,…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Evaluate the following integral equation as indicated per item. Indicate the identity used for each…

A: Introduction: Differentiation and integration are the two most important operations in Calculus. We…

Q: Given the function g of the two real variables t and u by g(t,u)=t^2 + tu-u^2+(6+2)u c) Determine…

A: Linearization of a function g(t,u) about (a,b) is  L(t,u)=g(a,b)+(t-a)gt(a,b)+(u-b)gu(a,b)

Q: valuate the integral using U-substitution x dx (7x2+3)5 1) S A)-(7x²+3)-6+ C C)-(7x² + 3)-4+ C…

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Q: Suppose z=2– 3i, What is a complex function f (z) = – 37 – 2i Re (z) ? —6+ 13і -6- 13i об+13і 6–13i…

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Q: (2) Sketch the direction field associated to the system I'=x²-y-3, y = y + x² - 5. Include the…

A: sketch the direction field associated to the system    x' = x 2 - y - 3 y' = y + x 2 - 5   include…

Q: (A+B)* = A† + B*, (AB)† = B* A*, (AA)† = XA*, %3D %3D where A is a complex number and AŤ indicates…

A: We have to evaluate ABC†. Given AB†=B†A† Hence, ABC†=ABC†=C†AB†USe AB†=B†A†=C†B†A†=C†B†A†

Q: ex 3-4e2x 21) f dx

A: Given expression:  ∫ex3-4e2xdx

Q: Determine the delimited area by the graph f(x)=-2x^2+4, the axis of x and the lines x=-1 and x=2 o…

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Q: Determine two funetions f and g whose produet result in (f x g)(=) – 8 sin"I+ 27.

A: see below the answer no need of explanation

Q: 6) Use Linear Property to find ( 1- 3 x4)' A) (1- 3 x4) %3D B) – 4x3 C) - 2 D) - 12 x3 7) Use…

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Q: VECTOR DIFFERENTIATION: If A = t(^2)i - tj + (2t+1)k and B = (2t-3) i + j - tk, obtain the…

A: Find your answer below

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Determine the…

A: We will use concept of arc length in 3d We want to determine the length of a vector function,…

Q: Use implicit differentiation to find dy/dx. 18) y cos = 4x + 4y - y sin A)- cos B) sin 4y 4y2 D)-…

A: 18.we have y cos(1y) =4x+4y⇒dydx(cos(1y) )+ysin(1y)×1y2dydx…

Q: Find the points of intersection between r 2 = 2 cos20 and r =- %3D 1- cose

A: We have to find the intersection between r2=2cos2θ and r=21-cosθ.

Q: -2x Use Green's Theorem to evaluate [(3 ye^²* − 7 sin² (3x³)) dx + (5x² + 2x²y² +8e³¹²-7x+²) +2) dy…

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Q: Consider the complex function f(z)= 1/(z^2 +1)  Find the residue of f(z) at the pole z=i.

A: The residue of a function at a certain point in the complex plane is a complex number that describes…

Q: on (0, 2π). Show that the set of functions cos nx, n= 1, 2, 3, ..... is orthogonal

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Q: 20x -4Dx Dy t40y )u= cos(2X+y)+xy Ans. U= i(y-2x) +x2 (9-2x) + Coslzx+y) +

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