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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 Power = (R + 40g)*25/2 = 3P …. P = (R + 40g)*25/6 Down the road: Power = Fv F = R –...
JM
Answered by Jonathan M. • Maths tutor
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Given two functions f and g where f(x)=3x-5 and g(x)=x-2. Find: a) the inverse f^-1(x), b) given g^-1(x)=x+2, find (g^-1 o f)(x), c) given also that (f^-1 o g)(x)=(x+3)/3, solve (f^-1 o g)(x)=(g^-1 o f)(x)

a) For an inverse function- "inputs become outputs" so swap the positions of the input-variable (i.e "x") with the output variable (i.e f(x)) and then rearange. Once rearanged so that f(x...
KK
Answered by Kendra K. • Maths tutor
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I can't take my books into the exam, how do I memorise them?

First thing is, try not to worry, it's only natural to panic about being able to quote your texts in a closed book exam but you have to remember that the examiners are not expecting you to be able to recite ...
SL
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How should you structure an ELAT essay?

I have often found it helpful to think in groups of threes when structuring an essay: three main paragraphs, with three sub-points in each paragraph. In the ELAT, the examiners are looking for students to 'c...
EJ
Answered by Ella J. • ELAT tutor
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How can I make myself stand out as a candidate in my personal statement?

The most important thing to keep in mind when writing a personal statement is that you have to show your skills and qualifications, rather than just tell them. The people reviewing your application read thro...
KP
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