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Maths
A Level

A car is moving on an inclined road with friction acting upon it. When it is moving up the road at a speed v the engine is working at power 3P and when it is moving down the road at v the engine is working at a power P. Find the value of P.

Incline is at θ where sin θ = 1/20 and mass of the car is 800kg and v is 12.5 m/s

Up the road: Power = Fv                              F = R + (800g)/20

                            ...

JM
Answered by Jonathan M. Maths tutor
3136 Views

Integrate x*ln(x)

Let u = ln(x) and dv/dx = x

Thus du/dx = 1/x and v = x2/2

Using the formula:

Integral of udv/dx = uv - Integral of v*du/dx<...

AG
Answered by Anindita G. Maths tutor
4289 Views

Differentiate the function f(x) = 2x^3 + (cos(x))^2 + e^x

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