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What's the point of writing my mathematics well if I don't get extra marks for it?

Although strictly speaking you get no extra marks for writing out your mathematics clearly and logically, getting into the habit of doing so can help your work in a lot of ways: 1. You ca...

Answered by Oliver B. • Maths tutor

3151 Views

Integrate x^2e^x with respect to x between the limits of x=5 and x=0.

This question is to test integration by parts. First let u=x² and u'=2x as a result, and v'=e^x and so v=e^x too. Then use the by parts formula to express the integral as x...

Answered by Alex A. • Maths tutor

5186 Views

What is the turning point on the curve f(x) = 2x^2 - 2x + 4

df/dx = 4x - 2

turning point when differential = 0

==>

4x = 2 hence; x = 0.5

When x = 0.5 f(x) is equal to (substitute) 3.5

hence the turning point is at (0.5,3.5)<...

Answered by David T. • Maths tutor

5180 Views

How do I find the solution of the simultaneous equations x+3y=7 and 5x+2y=8

By looking at both equations you spot that the 'x' in the first equation has coefficient equal to 1, so it would be quite convenient to make 'x' the subject of the first equation and then substitute what ...

Answered by Nicola B. • Maths tutor

4395 Views

Write down three linear factors of f(x) such that the curve of f(x) crosses the x axis at x=0.5,3,4. Hence find the equation of the curve in the form y = 2(x^3) + a(x^2) + bx + c.

the curve crosses the graph at the x axis at 0.5,3 and -4 so f(0.5)=0, f(3)=0,f(-4)=0. All linear factors are the form of g(x)=(x-a) so 0=g(0.5)=0.5-a. rearranging we get that a=0.5 ie g(x)=x-0.5 similarl...

Answered by Kishan T. • Maths tutor

5519 Views