dx (2tx +x+ cos t) + (-sin x +t² +t)- = 0. dt %3D

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

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Q: find d/dx 2x^2 -x using derication from first principle

A: Our Aim is to find the derivative of 2x2-x using derivation from first principle.

Q: (4x' - 6x) dx = 4x³ Evaluate

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Q: t(dx/dt)=6te^(2t)+x(2t-1) solve using linear equation

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Q: 3. (y-x)dx = xy (x dx + y dy)

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Q: Convert the equation f(t)=228e^−0.2t to the form f(t)=ab^t

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Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x+y+6, and z = 0. V =

A: We have to find the volume of the solid for the given region.

Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: A particle is moving in such a way that its displacement xcm from the origin after t seconds is…

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Q: use the Lagrangian method to solve: U=x1^(1/2)x2^(1/2) subject to 50=5x1+10x2

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Q: 4d'y dt? dy -8y= 8e, find the solution dt a) Using the Method of Variation of Parameters

A: Given differential equation is 4d2ydt2−4dydt−8y=8e−t....1 We have find the general solution by using…

Q: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

A: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

Q: Find the solution. dy x+5y=2x?y+ dx

A: We have to solve the given differential equation.

Q: A particle’s velocity is given (in units of meters per second) by the function v = 1 + (t^3)/10 –…

A: A particle’s velocity is given (in units of meters per second) by the function…

Q: Solve (x+2y^2) dy =ydx

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