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Maths
A Level

Factorise x^3-6x^2+9x.

x^3-6x^2+9x=x(x^2-6x+9)

observe binomial formula (x-3)^2=(x^2-6x+9)

Thus x(x-3)^2 and the function has two points meeting the x-axis.

Answered by Evita G. Maths tutor
13972 Views

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

<...

Answered by Evita G. Maths tutor
4184 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...

Answered by Chris D. Maths tutor
15995 Views

What is the difference between a scalar and vector quantity?

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

Answered by Chris D. Maths tutor
6211 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...

Answered by Hannah M. Maths tutor
20599 Views

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