'artial Question 10 Evaluate the complex function. Find u(x,y) and v(x,y) şə = (z) ƒ O +3 °) cos(3x²y+y e-3ry sin(3a²y – y) n(3x²y -y) 3.zst cos (3x²y – y') s(32²y-y°) ez43zy sin(3 y+ y') ncorrect Question 11 Get the derivative of the function. Write the final an

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A: Let us consider the parametric equation x=g(t), y=f(t) then  dydx=dydtdxdtd2ydx2=ddtdydxdxdt

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A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

Q: If f(z) is analytic function expressed in polar form, show that: (sin + icos) of ᎧᎾ f'(z)=(cos- i…

A: To show that the derivative of an analytic function f(z) in polar form is given by:we'll use the…

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A: Since you have posted multiple questions with multiple sub-parts, we will provide the solution only…

Q: 2.The equation of C3 can be expressed as z=p+qi+ce^iθ, where θ varies from mπ to nπ. What is the…

A: Given: A semicircular path from 0,0 to 2,2 denoted by C3. The equation of C3 can be expressed as…

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Q: For Parts (a) (b), find fr and fy, and make it clear which answer is which. (a) f(x,y) = x3 +…

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Q: 6. (a) Recall that sin z = ¹2; cos z = (i) Find real and imaginary parts of sin z and cos z, for z =…

A: Note : '' As per guidelines we will solve first three subparts. If you want any specific subpart to…

Q: t y(t) = sin(WE) (t-c)² +wn² dł

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Q: B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y² itable graph and…

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Q: lim tanx i. x→ 0 lim In(1+ x)] 11. x→ 0 lim sin ax i1. where a and b are constants. r0sinbxr

A: We are only allow to to do first question and three subpart of question So if you need rest of…

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A: F(x,y)=3 sin x - 7 cos y at ( 0 , π/2)

Q: 100° |(x–10)* \(2y+24)°´ y is equal to _?

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A: given ∇f(1,0)=2i+j we have to find the direction in which the directional derivative has some value.

Q: Let f(x, y, z) = x“y + z* and x = s³, y = st°, and z = s°t. (a) Calculate the primary derivatives ,…

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Q: إكمال الأسئلة a z for the function : a x Find x sin ( y3 ) + x e3z - cos ( z? ) = 3 y - 6 z + 8 + X…

A: Partial derivative

Q: y = CLe? + C2 ze? (3) Differentiate with sespect to 'x' get we dy Again differentiate with sespect…

A: Some results are required to understand the differentiation in the given problem.

Q: Q.13.a) s dx x2+2x+1 b) Sx sinvx dx dx c) J Tx+V% 1E / E

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Q: dz Use implicit differentiation to find dx In(x+z?)+yz+6x?=7 2(7x2+722+1) 2(3yz + 3x?yz + 2)…

A: We can solve these question using the properties of partial derivatives as below

Q: tan - de 3 3 sec

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution for…

Q: 23 42 R 1 y=2 sinx 2 y = Which equation is represented by the graph? sin 2x 2 1 y-sin 2.r = 2x 1…

A: we need to find the equation of the graph

Q: QU/A Find the domain and range for the following finctions: 1- y =Vx?-6 2- y = QI/B Prove that 1+…

A: Explanation of the answer is as follows

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Q: B dy x/1-y2 dx 1+x2 II

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Q: 2-g(%,y)%3D플-플 * at (VT ,1)

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Q: 7) Determine an eq ,in (x) and (y) , and then find a) y sec 1t , x csc-1t b) y = (sin 0)* ,x = (cos…

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Q: Solve the following 1 1) y dx + x² + y? dy = 0 x +y 2) (3x? In x+ x² –y) dx- xdy = 0, y(1) = 5 dy…

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Q: 3. sin(x +y) + sin(x - y) = 2 sin x cos y

A: The given identity