1. Given y=Vx-4. a. Evaluate dy when x= 13 and dx=0.2. %3D

Q: s(VE + E dx

A: We want to integrate the given function.

Q: S.Si dx dy о 1+ху

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Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

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Q: dy الحل العام ل لمعادلة e2x+3y dx

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Q: x*+e*)dx -In

A: Given: I=∫x-1+exex-ln1xdx So, simply we can write as; I=∫x-1+exex-ln1xdx=∫x-1+exex-ln1-lnxdx…

Q: Given y+In(-) = e dy then dx x(y+1)

A: Given: y+lnyx=e We know that ddxuv=vdudx-udvdxv2                                                 ..1

Q: FIND DY/DX OF THE FOLLOWING 5. y=csc Inx

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Q: Bernoulli dy + xy = dx y # 0 уз

A: The objective is to find the general solution to the given differential equation

Q: S S" x²cos(xy)dxdy

A: To calculate the integral: ∫01∫0πx2cosxydxdy

Q: dy 12. 3x e dx 11. dx

A:

Q: 6y dx dy

A: x limit  x=y2and y is from 0 to 1 Option B

Q: 1) S , (x + y) dx dy

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Q: 1 d) S e) S csc³x cot³x dx f) S dx x2Vx2 + 4 dx

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Q: 9. Vy + dy 415

A: We will be using the given rules to evaluate the answer

Q: dx dy = (0, 1)

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Q: Inx Iny mz dx dy dz

A: Given integration is  I=∫1e∫1e∫1elnxlnylnz dx dy dz=∫1e∫1e∫1elnx dxlnylnz dy dz…

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: dy 1. If x = 1? – 1 and y = e" , find dx

A: x=t2-1 and y=et3

Q: B. Use the trapezium rule with 6 ordinates to estimate fe* dx correct to two decimal places.

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Q: 33 e dx ly

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Q: S S* e*(y + 2z) dz dy dx

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Q: Find dy/dx for y = (x 3 +7) 4

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Q: 1. dx Evaluate 0, et +e-*

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Q: Find dy/dx of the given function. y = e 2x In x

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Q: 9. 3y'e" dx dy

A: To solve the integral

Q: 1 •arccos y Evaluate esin a dxdy.

A: Find the double integral by using order of change of integrals

Q: dy 4y dx

A: Topic = Differential equation   As per guidelines , At a time only one question can be answered.…

Q: SSAdalyticalsalution dy +Cosyco give y=- dx whan t= 12

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (x+Sy + wZ ) dzody dx dx X-つ

A: We have to find the triple integration…

Q: LL y e* dz dx dy -Inx

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Q: S: +3 What is the antiderivative of dx ?

A: NOTE: Refresh your page if you can't see any equations. .

Q: 7. If S PCx) dx = 14 and %3D S.I find 6. fCx)dx

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Q: dx 3. S ex+ e-*

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Q: dx dy у 1+х

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Q: 3.) dx + e dy = 0

A: The objective is to find the solution of the differential equation.

Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

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Q: 2y dy 4. dx

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Q: 4. Compute the following: (a) e dx -1 d (Ъ) dx f'(x) dx a

A: 4.(a) The objective is to find the value of ∫-11edx

Q: related rates - find dy/dt where xy=10 and dx/dt = 02 and x = 5.

A: To find the rate of change of y with respect to t, under the given conditions.

Q: | Find dy/dx if y = e*+x).

A: Given,          y=ex+x2

Q: e2: S dx 1+ex

A: Given the integral ∫e2x1+ex dx u = 1+ex  ⇒ ex = u - 1 du = ex dx By substitution method, I=∫e2x1+ex…

Q: 1 D. (a)S 3e3t dt

A: We have to find the integral

Q: 4. s= dx = In]x| – e* + C %3D - ? S 2+3*dx = 4 + C In 8 5. S(D- dx =: 32x Inlxl + C 6. 3x. 2 In 3 3

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Q: 14. e see" y dy = dx +x dy.

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Q: С (4 — х — 2у) dx dy

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Q: dy 7- for csch e is equal to: dx de de a) csch e.cothe dx b)- csch e.coth e e)- csch e.coth e dx

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Q: I = Si S (x² + y³) dy dx.

A: