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A curve has the equation y = 4x^3 . Differentiate with respect to y.

y = 4x3 To differentiate you must find dy/dx. To calculate dy/dx, look at this example using just letters from algebra: y = axb dy/dx = (ab)x(b-1) As you can see, to calcu...

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Answered by Samuel H. Maths tutor
4712 Views

Calculate the acceleration of particle thats velocity changes from 20ms^-1 to 40ms^-1 in 5 seconds, assuming its constant.

Acceleration is the rate of change of velocity, so we subtract the final velocity from the initial velocity and divide it by the time taken for the change. In this case the acceleration i...

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Answered by Orlando F. Physics tutor
3844 Views

A student may ask me how to structure an answer to an exam question

An exemplar question is 'evaluate the strengths and weaknesses of the FPTP system'. I would prompt them to answer the question by defining the key words and giving a brief introduction. In this case it is...

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2939 Views

An object of mass 2kg is placed on a smooth plane which is inclined at an angle of 30 degrees from the ground. Calculate the acceleration of the object.

Draw a free body force diagram of all the forces acting on the object.

Resolve the forces parallel and perpendicular to the plane.

Use the equation ΣF=ma to solve the accele...

DJ
Answered by Dillon J. Maths tutor
3476 Views

Integral of sin^2(x) with respect to x

It is impossible to dirctly integrate sin^2(x) so we must transform it into something that can be integrated. Trigonometry can be used to do this. Recall the identity cos(2x) = cos^2(x) - sin^2(x) and cos...

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Answered by Orlando F. Maths tutor
13634 Views

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