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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...
MR
Answered by Maya R. • Maths tutor
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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/...
BK
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 ...
GH
Answered by George H. • Maths tutor
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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 = sin 2 (pi/2)/(pi/2) = 1 2 /(pi/2) = 2/piDifferentiate the function with respect to x to determine the gradient of th...
TB
Answered by Thomas B. • Maths tutor
5461 Views

How many books and modules and what are they all about?

For A-Level Maths you have 6 books (3 AS level and 3 A2 level) C1 (Core Maths 1) the easiest book and simple algebra and polynomials (non-calculator paper) 1h30min long C2 (Core Maths 2) continuation of C1 a...
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Answered by Siddharth N. • Maths tutor
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