Top answers

Expand completely: (3a-6)(a+3)

Final Answer: a 2 +3a -18 Using FOIL (First, outside, inside, last) we multiply the terms in the brackets together. First: 3a multiplied by a = 3a 2 Outside: 3a x 3 = 9a Inside: -6 x a= -6a Last: -6 x 3 = -1...
SS
Answered by Sam S. • Maths tutor
4770 Views

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

y = 4x 3 To differentiate you must find dy/dx. To calculate dy/dx, look at this example using just letters from algebra: y = ax b dy/dx = (ab)x (b-1) As you can see, to calculate dy/dx you must multiply the ...
SH
Answered by Samuel H. • Maths tutor
5310 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 Σ F=ma to solve the acceleration.
DJ
Answered by Dillon J. • Maths tutor
4026 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^(x...
OF
Answered by Orlando F. • Maths tutor
14438 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 so dv/dx = 4 * 3 * (3x-1) 3 = 12(3x-1) 3 Therefore dy/dx = sin2x * 1...
CU
Answered by Chisom U. • Maths tutor
4648 Views