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State the nth term of the following sequence: 3,7,11,15,19...

nth term= 4n-1
JJ
Answered by Jaredd J. • Maths tutor
7487 Views

Core 3: Find all the solutions of 2cos(2x) = 1-2sin(x) in the interval 0<x<360

2cos(2x) = 1-2sin(x) 2(1-2sin 2 (x)) = 1-2sin(x) -- by our trigonometric functions 2-4sin 2 (x) = 1-2sin(x) 4sin 2 (x)-2sin(x)-1=0 -- rearrange sin(x) = (2±(4-4(4)(-1)) 0.5 )/8 -- quadratic formula x = 54 &a...
CB
Answered by Chris B. • Maths tutor
9355 Views

Jo has the following 9 coins in her purse: 10p, 2p, 2p, 50p, 10p, 1p, 20p, 2p, 2p. Work out the median, mean, mode and range.

To work out the median of a set of numbers we first place them in order: 1p, 2p, 2p, 2p, 2p, 10p, 10p, 20p, 50p Then the median is the middle value in the list, in this case 2p. To work out the mean we must ...
CB
Answered by Chris B. • Maths tutor
6048 Views

How would I differentiate something with the product rule?

Okay so, first of all the product rule in itself is fairly simple. Take the product of a function &quot;u&quot; and a function &quot;v&quot; to be a compound function. You can write this as &quot;uv&quot;. T...
SD
Answered by Shivam D. • Maths tutor
4061 Views

How would I solve the equation 25^x = 5^(4x+1)?

You would have to rewrite 25 as 5^2 hence 25^x = (5^2)^x = 5^(2*x). Then 5^(2x) = 5^(4x+1) and therefore 2x = 4x + 1 hence 2x = -1 hence x = -1 / 2.
MP
Answered by Marius P. • Maths tutor
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