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Let f(x)=x^3 - 2x^2 + 5. For which value(s) of x does f(x)=5?

Although it can be tempting to dive straight into such a question, its always useful in mathematics to take a step back and assess the question before scribbling down panicked answers.

For inst...

Answered by Jed G. Maths tutor
3046 Views

Integrate lnx

This question often throws maths students off fairly easily as they are generally not taught the integral of lnx, and do not usually realise that integration by parts can be used for anything, as you can ...

Answered by Owen M. Maths tutor
2867 Views

Find the coordinates of the stationary point of the graph y = 3x^2 - 12x

Firstly, we need to differentiate the equation to find an equation for the gradient of the line.dy/dx = 6x-12We know the original graph was quadratic, and therefore only has one stationary point. This is ...

Answered by Jack M. Maths tutor
5794 Views

w and x are whole numbers. w >40, x<30. Work out the smallest possible value of w-x.

To get the smallest value of w-x we will need the smallest value of w and the largest value of x.Our smallest possible value of w=41.Our largest possible value of x=29.So the smallest value of w-x = 41-29...

Answered by Esme G. Maths tutor
14129 Views

How do you work out the tangent to a circle at a given point on the circle?

(Suppose the coordinates of the point on the circle is (2, 3))To calculate the tangents equation we will first work out it's gradient. The tangent to a circle at a point is perpendicular to the radius of ...

Answered by James H. Maths tutor
13238 Views

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