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A particle is placed on a rough plane which is inclined to the horizontal at an angle θ, where tanθ =4/3, and released from rest. The coefficient of friction between the particle and the plane is 1/3. Find the particle's acceleration.

Start by drawing a diagram with all of the information from the question on it, as well as the forces acting on the particle. As forces can be divided into their component parts, we can look at the question ...
TD
Answered by Tutor121490 D. • Maths tutor
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Integrate 4x^3 - 3x + 6

When integrating an equation we can treat each variable individually. Lets start with 4x^3, when integrating, we raise the power (in this case 3) by +1 and divide the multiple (in this case 4) by the new rai...
BP
Answered by Bradley P. • Maths tutor
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Integrate the following expression with respect to x, (2+4x^3)/x^2

First we should simplify the expression to be able to integrate it. We should separate the expression to 2 parts. Now we have the following: 2/x^2 + 4xWe can bring the x^2 to the top,now we have the followin...
MP
Answered by Maria P. • Maths tutor
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Find the equation of the tangent to the curve y = x^2-2x-3 at x=-1

First we find the gradient by differentiation. Differentiating the expression for the curve gives dy/dx=2x-2. Subbing in x=-1 gives dy/dx=-4 so the gradient of the line is -4. To find the y intercept, we use...
CR
Answered by Caleb R. • Maths tutor
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What is the actus reus of a crime?

The actus reus of the crime translates in latin to 'the guilty act' and is the objective, external element of the crime. For example, the actus reus of a speeding offence would be driving the vehicle over th...
LM
Answered by Lauren M. • Law tutor
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