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Solve the equation x^2 + 10x + 24 = 0

x 2 + 10x + 24 = 0 First we must factorise the equation, which means put it into brackets. To do this we must find two numbers which multiply to equal 24 and add together to make 10. The only two numbers tha...
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Answered by Archie A. • Maths tutor
13689 Views

Sophie had 3 piles of coins, A, B and C. Altogether there was £72. Pile B had twice as much as pile A. Pile C had three times as much as pile B. How much money was in Pile C?

A + B + C = £722A = B3B = C0.5 B + B + 3B = £724.5 B = £72B = £16C = £48
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Answered by Saleema R. • Maths tutor
3180 Views

Find all the stationary points of the curve: y = (2/3)x^3 – (1/2)x^2 – 3x + 7/6 and determine their classifications.

The first thing to do is write down y’ and y’’ neatly since these are the main two equations we will be working with… y’ = 2x 2 – x – 3 & y’’ = 4x – 1… To find the stationary point we must find where y’ ...
HT
Answered by Henry T. • Maths tutor
3962 Views

How do you solve a Differential equation using integrating factors?

Check the equation is in the form dy/dx + P(x) y=Q(x) (show example) Find the int factor: I(x)=e integralP(x) dx Multiply all terms by the integrating factorMake sure you show this step clearly: d/dx(I(x)y) ...
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Answered by Rachael B. • Maths tutor
3802 Views

The region below the curve y = e^x + e^(-x) and the lines x = 0, x = ln4 is rotated 2π radians about the x-axis. Find the volume of the resulting solid.

We can use the formula for a Volume of Revolution: V =π ∫ (e^x + e^(-x))^2 dx, with limits x = 0, x = ln4.Expanding the brackets: (e^x + e^(-x))^2 = e^2x + 2 + e^(-2x).So: V = π ∫ (e^2x + 2 + e^(-2x)) dx = π...
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Answered by Rumen S. • Maths tutor
4625 Views