Suppose z is a function of x and y, and csc Vx2 + yz = 2"esin . Solve for dz and ду

Q: Differentiate Зх — 6 - y = csc 5x2 + 9

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2…

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Q: Solve for x: 3x -y = 2 - 3y 2-4y ox = V +2 %3D 2-2y %D 3 - %3D 3. O x = 2 - 2y - 3 3.

A: Let us consider an equation ax+by=c  Then solution for x is given as, x= (c-by)/a

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: Find domain and range of the * function y = Vx2 – 4x

A: To find the domain and range of  y=√(x²-4x)

Q: Simplify. Express your answer using positive expor (r^(3)s^(0)t^(-1))/(r^(-1)st*r^(2)st^(-1))

A: Given: (r^(3)s^(0)t^(-1))/(r^(-1)st*r^(2)st^(-1))

Q: (7) Determine the upward flux of ▼ × F through the part of the elliptical cone C = {(x, y, z)|z = 2…

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Q: Solve the IVP: ry'- 2ry 10x2, y (0) = 1 Oy- 3e + 222 4 Oy = 6e #= 5z = 5 Oy=-e + 5x + 27 Oy= - 5z -…

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Q: The demans equation for a certain product is 5p^2 + q^2 = 1300, where p is the price per unit in…

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Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: 1- x 5. dx VI - r

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Q: - (x³-x²+2)dx x-1

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Q: (D³ + 3D² - D - 3)y = e4x + 5 ID3 an?

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Q: Simplify (5x'yz)

A: Given, (5x3y-2z4)3

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0