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Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2

To be able to solve this, the equation needs to be integrated. To do this, simple integration needs to be applied where the power of 'x' increases by 1 and the coefficient of 'x' is divided by the new power....
YS
Answered by Yash S. • Maths tutor
5500 Views

GCSE 2011: Solve the simultaneous equations: y^2 = 2x + 29 and y = x - 3

This was the final question in AQA's 2011 non-calculator paper, and most top candidates will be looking to score all 5 marks that are on offer. Our usual technique for simultaneous equations isn't going to w...
RG
Answered by Ross G. • Maths tutor
8489 Views

The circle c has equation x^2+ y^2 = 1. The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

x^2 + y^2 =1 y = 3x + 1 x^2 + (3x + 1)^2 = 1 x^2 + 9x^2 + 6x+ 1 = 1 10x^2 + 6x = 0 x(10x+6) = 0 x= 0 or x = -6/10 = -3/5 When x = 0, y = 1 When x = -3/5, y = -4/5
PJ
Answered by Prince J. • Maths tutor
4483 Views

How do you use SOH CAH TOA?

If you have a right angled triangle, it is made up of a hypotenuse, adjacent and opposite. In SOH CAH TOA, the middle letter goes up, so when we use the equation, it will be sin=opposite/hypotenuse, etc. If,...
KR
Answered by Katherine R. • Maths tutor
4929 Views

When do I use Sin, Cos or Tan?

You use these functions when you either have a length and an angle and you are looking for a length or when you have two lengths and are looking for an angle. There is a simple way to remember which one to u...
AC
Answered by Aaron C. • Maths tutor
13405 Views