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A smooth 4g marble is held at rest on a smooth plane which is fixed at 30 degrees to a horizontal table. The marble is released from rest - what speed is the marble travelling at 5 seconds after being released? Let g = 9.8ms^2

This question involves forces and kinematics. First begin by drawing the situation and identifying the forces acting on the marble. The weight of the marble acts vertically downwards and is equal to the mass...
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Answered by Maya R. • Maths tutor
3603 Views

Differentiate the function; f(x)=1/((5-2x^3)^2)

We know from the properties of basic indices that a -x =1/a x , so 1/((5-2x 3 ) 2 =(5-2x 3 ) -2 where in this case, a=5-2x 3 and x=2. Then the function is differentiable by the chain rule. As dy/dx=dy/duXdu/...
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Answered by Benjamin K. • Maths tutor
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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). We ...
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Answered by George H. • Maths tutor
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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. These two...
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Answered by William S. • Maths tutor
4218 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%
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Answered by Idris N. • Maths tutor
3334 Views