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Maths
A Level

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 questi...

Answered by Tutor121490 D. Maths tutor
5989 Views

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 ...

Answered by Bradley P. Maths tutor
3327 Views

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 follo...

Answered by Maria P. Maths tutor
2932 Views

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 intercep...

Answered by Caleb R. Maths tutor
4788 Views

evaluate the integral 2x/((9+x^2)^1/2) between -2 and 0

One approach would be to use integration by parts, as we have two functions of x within the integral. This approach would get you to the answer but would be more difficult and convoluted than necessary. O...

Answered by Aiden F. Maths tutor
3338 Views

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