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Differentiate (2^x)(5x^2+5x)^2.

This is a relatively difficult equation to differentiate as there are various parts to consider.Firstly, we will let u=2^x and v=(5x^2+5x)^2 in the product rule. Then the differential of u is (2^x)ln(2). ...

GH
Answered by George H. Maths tutor
3144 Views

Solve x^2-6x+8=0

To solve this equation we must first factorise it. To do this we initially write two brackets containing x equal to zero like this (x )(x )=0.Then we want to identify the other part of our bracket. Th...

WS
Answered by William S. Maths tutor
3261 Views

A trader buys 6 watches at £25 each. He scratches one of them, so he sells that one for £11. He sells the other 5 for £38 each. Find his profit as a percentage.

Percentage profit = (profit/original )x 100

To find the profit; £38x5+11 - (6x£25) = £51

Percentage profit = (£51/6x25)x100 = 34%

IN
Answered by Idris N. Maths tutor
2678 Views

Determine the tangent to the curve y = sin^2(x)/x at the point, x = pi/2. Leave your answer in the form ax+by+c=0

First determine the y coordinate of the curve at the given x coordinate, in this case, y = sin2(pi/2)/(pi/2) = 12/(pi/2) = 2/piDifferentiate the function with respect to x to determi...

TB
Answered by Thomas B. Maths tutor
4567 Views

It takes 9 minutes to paint 1 m^2 of wood. How long would it take to paint a wooden cube with sides of 2m?

The best way to think about this question is to imagine the plan of the cube. Looking at this you would see that there are 6 identical squares. Therefore you should realise that to work this question out ...

DD
Answered by Deepali D. Maths tutor
2009 Views

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