Differentiate g(t) = (4t² – 3t + 2)-2 %3D

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A: We use logarithmic differentiation

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A: It is given that x=t+sint and y=t-cost.

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A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

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A: Here is the solution

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A: We will integrate function of V=v w.r.t. v and function of y w.r.t. y and

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A: we have to calculate  ∫0π6∫01∫-23ysinzdxdydz ∫0π6∫01∫-23ysinzdxdydz=∫0π6∫01∫-23ysinzdxdydz…

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Q: What is the I.F of (2y^2+3x)dx+xydy=0?

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Q: Solve the differential equation in Exercises

A: Given 17. dydx=2x1-y2 ,   -1<y<1 18. dydx=e2x-yex+y

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Q: y' = y– y³e=2x у — узе-2х

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Q: What is the solution for y(t)?

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Q: Find the particular Salisiles dy -2 = 5x dx + 6x1-1; y(1)= 3

A: Given : dydx = 5x-2 + 6x-1-1

Q: find the dy さ× when 3In X リ=(メ+z)m

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Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: Q3. Find dt 4x – 2 dx x² + 20 4t

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Q: V16-y 1. 16 x2 x dx dy -

A: As per our guidline we cna solve maximum one question , you can re-post other question

Q: -4x+2 Integrate f6 dx with respect to x using the substitution method. (-2x2+2a-2) COMPLETE THIS IN…

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Q: Show that dC 1.8x - 1.5 - dx Vx2+0.04 and hence determine the value of x that minimises the cost

A: if for a function f(x) at x=a ,f'(x)=0 then we check for f"(x) if it is positive at x=a , then f(x)…

Q: Q4 Find dy for all of : dx 3 x(x-2) 1- y = xvlnx 2- у %3 V x2+1

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Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: dx -3 +2x dt = 2 is

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Q: dx is is equal to: 2x/4-(2x)2

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

A: Given, z=lnx2+y2

Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

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Q: SSS(x² + y²) dV where E lies between x² + y² +z² = 4 and x² + y² + z² = 9

A: E

Q: Find the antiderivative of dx/(49x2+16)2

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Q: using variation of parameters: - 2x + x = e t (et 1 1)2

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Q: J 2x - 11 dx 2 x²+x-6

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Q: df Find and dx of dy 2 2 f(x,y) = /3x +4y?

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Q: Q2- Reverse the order of the integration ff dy dx + f2f²dy dx equal:

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Q: y (2xy + y²) dx + x (y² − x) dy = 0

A: According to question given:y(2xy+y2)dx+xy2-xdy=0y(2xy+y2)dx=-xy2-xdydydx=-y(2xy+y2)xy2-x

Q: 3 c2x S *x² dy dx 4.

A: Integral

Q: 2x2 x² - 4x +4 ey JTeży + 4)°/½ dy

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Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: Integrate ,(t³ – 5t? + 2)dt

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Q: -2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

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Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: Find the antiderivate of dx/(x2+4)3/2

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Q: Integrate dx/a^2+(x+b)^2

A: Take the substitution that x+b=t.

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Q: dx 2. = 3x. dt

A: The given differential equation is                                                    dxdt=3x…

Q: e demand x, and finc le of x clock radios. oduction level of 160

A: Marginal and Revenue function: (A) The price p and the demand x for a particular clock radio are…