Search our library of Maths questions

Top answers

Maths

All levels

Three forces, (15i + j) N, (5qi – pj) N and (–3pi – qj) N, where p and q are constants, act on a particle. Given that the particle is in equilibrium, find the value of p and the value of q. (Mechanics 1 June 2017)

As the particle is at rest, the net force acting on the particle must be equal to zero, i.e. Fres = 0Therefore, (15i + j) + (5qi - pj) + (-3pi - qj) = 0Collating 'i' terms: 15 + 5q - 3p = 0 (Equation 1...

Answered by Idris K. • Maths tutor

10756 Views

Find the Cartesian equation of plane Π containing the points A(6 , 2 , 1) and B(3, -1, 1) and perpendicular to the plane Π2 (x + 2y - z - 6 = 0).

The information we are given to solve for the equation of the plane are the points A and B, as well as the equation of a plane which lies perpendicular to the plane Π we are solving for.Method 1: Since A ...

Answered by Yannick G. • Maths tutor

7062 Views

Find dy/dx if y=(x^3)(e^2x)

Use product rule. Set u=x^3 and v=e^2x. Differentiate u and v. Then dy/dx = uv'+vu' = (3x^2)*(e^(2x))+(2x^3)(e^(2x)). This problem is best explained written on a whiteboard (it's difficult to give an expl...

Answered by Joseph M. • Maths tutor

5179 Views

What is the moment about the pivot C

Uniform rod AB of weight 5g (g being 9.8) and length 4 metres rested on a pivot C which is 1.5m from B. Calculate the moments about the point C.sketch diagram of information provided weight is ac...

Answered by Talal Z. • Maths tutor

2678 Views

Use integration to find I = ∫ xsin3x dx

Use integration by parts, let U = x, the derivative of U = 1, let the derivative of V = sin3x and intergrate the derivative of V to arrive at V = (-1/3)(cos3x). Substitute the value into the formula uv − ...

Answered by Zifeng L. • Maths tutor

5801 Views