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Maths
A Level

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
4814 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...

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Answered by Dillon J. Maths tutor
3546 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
13797 Views

Given that y=sin2x(3x-1)^4, find dy/dx

This is an example of the product rule. In this, y=uv and dy/dx = u(dv/dx) + v(du/dx) u = sin2x so du/dx = 2 * cos2x = 2cos2x v = (3x-1)4

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Answered by Chisom U. Maths tutor
4229 Views

Determine the integral: ∫x^(3/4)dx

I = (4/7)X^(7/4) +C

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Answered by Rifat M. Maths tutor
7904 Views

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