(6) /(z +6)dz

Q: z dz 2). S: 25+16z2

A: We can find the integration as below.

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

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Q: 3tan z sec? x dr 2.

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Q: y+1-2 dy

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Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: To the reci max z Ax1 +B x2 A=6 s.t. 2x +4x 2 12, B=1 -X1 + 2x2 S 2, X1 20, x2 Free.

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Q: ☺ cosh"z= Loy {2+/2

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Q: dz and dy dz 3. If x? – 3yz2 + xyz – 2 = 0, find -

A: In this question we have to find the dzdx and dzdy.

Q: alculate d2y/dx2 when y=3x.5-6x

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Q: determine L−1[F].

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Q: 3. zy if y + x² – 3xz = 222

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Q: (zy+9)8 dydr

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Q: 2. / Vy² – 4y + 10 dy

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Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: The given equation is z=y3-24-2y3 The objective is to find dzdy. The product rule for derivates is…

Q: Solve 2sinx- V3 = 0 on interval [0,2 t)

A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

Q: 2 f(x,у) 3 V9- х* -Зу;B Р(3, - 3); 13 3 13

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Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: z² - xy = 2 at the point (2, 1)= %3D

A: We have to find the slope of the line tangent  to the given curve.

Q: Find dy. y=5th root of x^2(8-2x)

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Q: 2t + 3 r(t) -, In(t² + 2) t2 +1

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Q: 2 Find dyif y.+3x-7 and x =, 2t +1

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: 8) Use the Trapezoidal Rule to evaluate V1+ x² dx;n = 3.

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Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

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Q: 2y*+1 dy 3

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Q: dz Find if z = (4x+ 9y). ду dz ду

A: Topic- partial differentiation

Q: 3. 2. Z dydxdz 2=0 X=Z

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Q: 8. fz/25 – z² dz

A: Consider the provided integral, ∫z225-z2dz Evaluate the provided integral. Apply the method of…

Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

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Q: 4. Find dyax and d2 x =V4- t , go t²-2t ye t'-2 get'.

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Q: 2dt J (t - 3)V2 – 6t + 5

A: Given that: ∫2dt(t-3)t2-6t+5

Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: dy of y3Dx dr Find csc2r,

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Q: f (z) = VE g (z) = V5x - 4 %3D

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Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: [2r] = [z] + %3D

A:

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: ų (H)= - 2y, (t) + 24;(4)= Y,(4) - 2y, (t) +2t t 9,lFS +2

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Q: (2) S 1 x= V1-x²

A: Solution

Q: dy 3. 9-49y²

A: To find out the integration.

Q: />(4y++ +9) * dy 12y2-

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Q: r z+9z-2z2+19z-8 (z²+4)² dx

A: Given: ∫x5+9x3-2x2+19x-8(x2+4)2dx first, we perform a long division for the integrand. then use the…

Q: 4s+2 1. F(s) = s² +6s+34

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Q: Q2 Find2 of y = 4x/x+ vã at x=1? %3D

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Q: 4. V21+4:-z dz

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: 87 V 174x-x2 9Vx2+y2 dydx = %3D

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Q: Evaluate B: А: Vye-y° dy 3e-4z2 dz 0, 0,

A: There is a general integral that gets calculated with the help of β function. The integral is…