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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 m...

Answered by Maya R. • Maths tutor

3003 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/((5-2x³)²=(5-2x³)^-2 where in this case, a=5-2x³and x=2. Then t...

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). ...

Answered by George H. • Maths tutor

3354 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...

Answered by William S. • Maths tutor

3451 Views