SVx dx = 6 1. x +arctan | + C | 1+ Vx

Q: Select the correct antiderivative.

A: Given, I=∫11+x2dx

Q: dy 1. Findof r = 2+ 3 sin 0 dx

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Q: dy B) Find for all the following dx 1) y = sin-13x 2) y = In(5x) 3) y = Vtanhx

A: Solution: As per our guideline we are supposed to answer only first three question please repost…

Q: Find dy dx? if y= 5cos2x-4sin 2x at x =0

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Q: x² S cos(VE) dt dx 'x

A: Given ddx∫xx2costdt

Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

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Q: 2(y+1) dy t 2) 2(у + 1)4 dx x+1

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Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: dy/dx if y = cosh 2 Jx +1 2 JX +1

A:

Q: // sin(7x²) dx dy. Compute O y/3

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Q: dy Determine the general solution of = 1+ 3y tanx. dx

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Q: xdx x²+6x+18 7. f cos(lnx)dx 8. fest sin(at) dt 6. f

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Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

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Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

Q: Find dy dx 21) tan y = eX + In 4x eX + 4 A) - sin² y хeх + 4 B) - xcot y

A: Given;  tany=ex+ln(4x).

Q: In(5x +3) dy at x = 0. dx (a) If y = then find et

A: Given; y = ln(5x+3)/e5x

Q: 1. еat sin mx dx 0. 8.

A: Given data: The given integral is I=∫0∞eatsin mxdx. The given integral can be written as,…

Q: sin x dy Given: y = Compute for dx 1-2 cos x

A: The given function is y=sin x1-2 cos x

Q: dy b) Find If tan2²(2y) – S cost dt = 4 – x2 - dx

A: We find the dy/dx by Leibniz rule.

Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: d²y 1.) of y = sinInß and x = In(Inß) dx2

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

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Q: dy (ycosx + 2xe") + (sinx + x²ev – 1) = 0 - dx

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Q: 7 xsiny dx + Cx²+1)cosy dy = 0, yC)=TT/2

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Q: 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002

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Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: (2siny + 1)dy : 4 and y(0) = 5. dx What is x when y = x?

A: Given:  2siny+1dydx=4, y0=π2 Using Variable separable  2siny+1dy=4dx Integrating both sides, we get…

Q: dy 4) Find dx when y² – x² + cos(x + y) = 0

A: As we know that the derivative of : ddx(xn)=nxn-1 ddx(cos(x))=-sin(x) ddx(f(g(x)))=f'(g(x))g'(x)

Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

A:

Q: Find dy dx if x=- and y and %3D dx 1+t 1+t

A: Given: x=t1+t and y=t21+t.

Q: (d) sin (x )+tan dx – In +y = 0

A: We have to solve given problem:

Q: tan dy| 2 Find dxlx=7 for the equation y = (Vx + 1) 2.

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Q: 2. f" S"(sinx + cosy) dx dy

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Q2. Solve yfrcos (4) + ysin (2)] dx – x [ysin (2) – xcos (2)] dy = 0

A: Here we have to solve the above differential equation  by first checking whether the function is…

Q: dx/dy + sin'3 y/ cos'2 2x = 0

A: We are given : dxdy+sin3ycos22x=0⇒dxdy=-sin3ycos22x⇒cos22x dx=-sin3y dy Integrating both sides, we…

Q: 3. Find dy/dx of: x(x-y)-xーy evaluated at x = 0.001 and y = 0.002

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Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

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Q: Solve the Linear DE dy/dx = 1+ 3y tan x

A: I have stated the used formulas in the solution.

Q: 5. dx/dt = (4+x)(y-x), dy/dt = (10-x)(y + x)

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Q: 1. Sx arctan x? dx =x² arctan(x²) – In(1 + x*) + C

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Q: dy ху* - сosx sin x . У (0) -2 y(1–x²) dx

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Q: I sin 2 dy dx (x² – y) dy dx 5. 6. x? – y² dy dx 8. L ellyt dx dy 7.

A:

Q: 3. Find dy/dx of: x'(x-y) -x-y evaluated at x = 0.001 and y = 0.002

A: The given equation is x2x-y2=x-y2 at x=0.001 and y=0.002.

Q: IIT /2 pcos x ex-X sin(x + y)dy dz dx Jz /6 Jo

A: Given integration is: ∫π6π2∫0cosx∫xπ-xsinx+ydxdydz  To find the value of integration.

Q: dy sin: 8. x +2y = dx y(2) = 1

A:

Q: 3) [ - cos dydx X X In 8 In y 4) S S e**y dxdy

A: (3) we have to evaluate ∫π2π∫0x21xcosyxdydx let  u =yx ⇒dudy=ddyyx         =1xddyy=1x⇒du = 1xdy…

Q: (y cos x + 2xe") dx + (sin x +x²e + 2) dy = 0; when x = 0, y = 0

A:

Q: Let y tan(3x + 2). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when a =…

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Q: Find dy/dx if y = In (tan(x).3$ec(x) + /sin (x³)

A: given,