Find and of a = V1-tand y = t - 3t? %3D = -4tV1-t %3D =-4tV1-t 4 4t V1t 4tVT+t

Q: dx (V32 + 4)3

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Q: Find (3x + y)dA where D = {(x, y) | æ² + y? 0}

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Q: If f(x, y) = x cosy + ye*, find a2f дхду

A: Partial derivative: A partial derivative of a function is defined as the derivative of the function…

Q: y = = Vx, 1s xS 8 Intograte ith

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Q: xpáp -1 dydx In(y)

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: dp +t². dt For p(t) dw For w(u) = Vu - 2u? – 10, du

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Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

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Q: * x' V5 -x°dx

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Q: r?= x? +y' Find dy

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Q: Solve by separating variables. dy = 12x 5y" dx y =

A: To solve a differential equation using seperation of variable we have to seperate the dependent…

Q: Find dy for the given values of x and ∆x.  y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

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Q: IF Y= 2x² + 5x dy and d = 4, find at when x = 3.

A: See this solution in below

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

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Q: If x1/3 + y1/3 = 4, find d2y/dx2 at the point (8, 8).

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Q: If f(x,y.z)= In(x2 +y³ +2z5), Find and dx² dz2

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Q: If y = tant and t = 4x³ + x, then dy dx 11

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Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: Solve by integrating factor by inspection: * 2ydx – 3xy dx – xdy = 0 - x' +x*y = c x³ + x²y² = c…

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Q: zp(x),. :)dz

A: In general, the integral of a real valued function f(x) with respect to a real variable x on an…

Q: 1. f (x, y) = x² + y?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy + my = p, solve for y

A: Given quadratic equation : dy2+my=p ⇒dy2+my-p=0

Q: 2- Solution of the following function {(dy/dx)-(cotx) y=(csc x)y³ }

A: The differential equation is given as dydx-(cot x)y = (csc x)y31y3dydx-1y2cot x = csc x…

Q: Solve the IVP Cost y +7Y y(T) = 0, t> 0 %3D t2

A: Given IVP is,  y'+2ty=costt2, yπ=0, t&gt;0.   It is of the form of y'+Pty=Qt. Here, Pt=2t and…

Q: Does E(X|Y) = ∫(x*p(y|x)*p(x))/p(y) dx?

A: Given that  E(X|Y) = ∫(x*p(y|x)*p(x))/p(y) dx

Q: y = sec?(x), 0s

A: The given curve is- y=sec2(x)  , 0≤x≤π4 We need to use a graph to find a rough estimate of the area…

Q: Given that x and y are related by the equation x2 + y² = 100, evaluate at the dx point (V50, V50).

A: given thatx2+y2=100     ....1to finddydx   at (50, 50)

Q: x² Ean 2tan' y dx ? tan?

A: Given: The function is ∫x2tan-1xdx. Evaluate the integral using integration by parts.…

Q: XzP -te; xlol = dt?

A: it is given that     d2xdt2=tet         (1)where x(0)=x'(0)=0integrate both side to equation (1)…

Q: 2wt dt/dw = t2 - 2w3 %3D

A: The given differential equation is 2wtdtdw=t2-2w3.

Q: (2x – 3y) dx + (2y – 3x) dy

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Q: Find da? for y = sec(x) d'y dx2

A: y = sec xdydx = ddx( sec x)        = sec x . tan x d2ydx2 = ddx( sec x . tan x)           = ddx(sec…

Q: Find for the given function. dz? w= 5z ez dw dz?

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Q: (b) tan(x/y) = z+y

A: We will solve the problem

Q: Find the exact value of dyd.r.

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Q: 4dx + (x — у + 2)?dy %3D 0

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Q: dw if Find = x* - xy+ y b) wax?-xy*; x-e* )3メーメ ; ×=t° X = e y=cost ?

A: I have given an answer in step 2.

Q: Solve the egjuation ditferential (2x-3y+5)dx+(3x-2y+2)dy=0

A: Given the differential equation is                     (2x -3y +5)dx + (3x -2y +2)dy = 0

Q: Find at (2, -2, 1) if dy x2 + y? + 22 = 6xz + 6yz + 21 %3D

A: Given that x2+y2+z2=6xz+6yz+21 Then we have to find ∂z∂y

Q: Q2: Find for (x+y) +(x- y) x +y* %3D dx

A: Derivative wrt x

Q: dædydz (b) (1+x + y+ z)*

A: Kindly go through the explanation

Q: Find dy for the given values of x and ∆x. ; y = 2x3 - 5x; x = -2, ∆x = 0.1

A: Given y=2x3-5xx=-2∆x=0.1 To find dy

Q: S sec? (3 – 2t)dt

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Q: Find d'y/dx2 implicitly in terms of x and y. x?y – 6x = 8

A: Given  x2y - 6x = 8 We have to find d2ydx2 implicitly in terms of x and y.

Q: x \dx xV 3 –x?

A: We need to evaluate the given definite integrals. each part is solve on each steps.

Q: Solve by finding an I.F 1. xdy- ydx= (x* + y° \dx

A: given equation is                                xdy-ydx=(x2+y2)dx let…

Q: Find dy for the given values of x and ∆x. ; y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A: Given fx≡y=x3-2x2+3 x=1 and dx=∆x=-0.1

Q: T(x,y) = x + xy + y - 12x + 2 on the rectangular plate 0sx<9, -5<ys0

A: We have to find absolute minima and maxima of given function.

Q: f(x,y) = /² + y?

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Q: dy ycotx + y³cscx dx

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Q: Find dy when r + y? = 5.

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