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Maths
A Level

Given df/dx=2x+3 and the graph goes through (1,1), what is the function f?

First step: integrate int df/dx = x^2+3x+c (never forget the constant!) 

Second step: substitute the point in order to get c 

1 = (1)^2+3*1+c -> c = 1-1-3=-3

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EG
Answered by Evita G. Maths tutor
4472 Views

Explain the Principle of Moments.

The moment of a force about any point is defined as the force x perpendicular distance from the line of action of the force to the point - moment = F x d the unit is Nm.
Principle of moments states t...

CD
Answered by Chris D. Maths tutor
16797 Views

What is the difference between a scalar and vector quantity?

Scalars have a magnitude (size) only. Vectors have both magnitude and direction.

CD
Answered by Chris D. Maths tutor
6593 Views

Solve the equation 5^x = 8, giving your answer to 3 significant figures.

Since there is an x written as a power here, it suggests that this question should be solved using logs (here assume I am using the natural logarithm, which has base e). Taking logs of both sides of the e...

HM
Answered by Hannah M. Maths tutor
21661 Views

Prove that 1/(tanx) + tanx = 1/sinxcosx

The key here is to realise that tanx = sinx/cosx. If we write out the left hand side of the equation in terms of sine and cosine we get: cosx/sinx + sinx/cosx These two fractions can be put over a common ...

HM
Answered by Hannah M. Maths tutor
21284 Views

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