Differentiate: y =V4r-6z4 Oy = (12- – 24z) /(4z² – 6z*)² Oy (42-8z") (4x3 – 6z*)² Oy= 12z 24z (4z² 6z+) 4z 8z (4x³ 6z)

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A: Given : m∠W = 5x+1°m∠Y = 13x-37°

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Q: Sz sec2ysin4ydy

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Q: Differentiate y = arcsin (2r2) 4.r VI+ 4r4 Option 1 None of these VI- 44 Option 2 Option 3 4.

A: As we know that; The chain rule; fgx'=f'gx·g'x The Power Law; ddxxn=nxn-1 And ddxarcsin(x)=11-x2…

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Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = 2x3 + 3y2 + 1.

A: To verify that

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Q: wn is bounded by the line y = − 5x + 4, - -axis and the y-axis. y X

A: we will find the area.

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A: Given a right angle triangle ∆XYZ and m∠X=45° and the adjacent length XY=122. To find XZ and YZ.

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Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

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Q: If x < 0 and y > 0, determine the sign of the realnumber. x/y

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Q: Let f(z) = 5z2 + 3z. %3D

A: Given,            f(z)=5z2+3z and         z = 8.2+5.9i

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A: Proceed as shown

Q: Integrate: 2dx + C of

A: The given integral is ∫6xx-2dx

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A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+ C₁e-ax using 2…

A:

Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Find: WxtWy sWxy Way,Wxx Wyy,Wz, Wzz WZx;WZy, Wyz, Wxz W= sinh (xy-Z)

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A: From the given data

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Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

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A: To integrate.

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A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

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A: This is the simple question based on algebra and derivative which could be solved using the basic…

Q: Jy - 2ycatex |_ 2xcot2x – 2Csc 2x 2CSC 2X %3D

A: The differential equation is dydx-2ycot2x=1-2xcot2x-2csc2x. The equation is of the form y'x+px·y=qx…

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Q: suonenba 5x mons: (1) +- = 3x + 3 (ii) x + 7x + 12 = 0 In (x +4)- In (x*) = 4 = 15 (iii) %3D (iv)…

A: Simplification

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Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: topic - equation of a line perpendicular to given line

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Q: Calculate Vf when f 3x 2- y z' + 4x'y + 2x - 3y - 5 at the point (1, 1, 0).

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Q: 2x + y 5z - 4y Find the total ditferential. W = 5z + 8x 10x + 5y 2 -x+ 5z – 4y dw = (5z – 4y)2" (5z…

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Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

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Q: Find the total differential. 6x + y w = 4z - 8y

A: The given function is: w=6x+y4z-8yw=f(x, y, z)

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A: