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It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?

It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?Firstly, you need to find how long it would take to fill a...

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Answered by paige g. Maths tutor
29520 Views

Given x^3 + 4x^2 + x - 6 = 0 , and one of the factors of this equation is (x-1), factorise and hence compute the other solutions for the eqaution.

Using either polynomial long division or by inspection, the equation can be reduced to:(x-1)(x2+5x+6)
The other bracket can the be factored out using inspection or the quadratic formula to...

Answered by Maths tutor
1196 Views

Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account: Interest 2.5% per annum Shares account: Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account.

Q: Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account: Interest 2.5% per annum Shares account: Interest 3.5% per annum Ali invests £2000 in the cash savings ...

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Answered by Simran B. Maths tutor
6177 Views

A curve C has the equation y=5sin3x + 2cos3x, find the equation of the tangent to the curve at the point (0,2)

Firstly, you need to differentiate the curve y. Using the equation dy/dx of sinkx= kcoskx, you need to differentiate 5sin3x first. So, as k=3 in this example, the answer is 5(3cos3x) which is equal to 15c...

Answered by Maths tutor
4093 Views

If x^2 + 4x + 3xy + y^3 = 6, find the first derivative.

This is an example of implicit differentiation. We differentiate with respect to x, remembering that y is a function of x. The terms without a 'y' differentiate as normal by the power rule nxn-1

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Answered by Olateju O. Maths tutor
3052 Views

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