Search our library of homework questions

Top answers

All subjects

All levels

The tangent to a point P (p, pi/2) on the curve x=(4y-sin2y)^2 hits the y axis at point A, find the coordinates of this point.

p=4pi² differentiating with respect to y we have dx/dy = 2(4y-sin2y)(4-2cos2y) substituting in the value of y =pi/2 we have dx/dy = 24pi, which means dy/dx =1/pi24using (y-y_1)=m(x-x_1) we have...

Answered by George N. • Maths tutor

3558 Views

The parametric equations of a curve are: x = cos2θ y = sinθcosθ. Find the cartesian form of the equation.

x = cos2θ y = sinθcosθcos2θ = cos²θ - sin²θ cos²θ + sin²θ = 12cos²θ = 1 + cos2θ cos²θ = 1/2(1 + x)2sin²θ = 1 - cos...

Answered by Amelia N. • Maths tutor

8165 Views

If a motor uses 500J to raise a box of 25N, how high has the box been lifted?

Work done = Force x distance the applied force has moved, hence 500 = 25d where d = unknown distance. Therefore the distance moved is 500/25 = 20m

Answered by Olufayojimi O. • Physics tutor

2430 Views

find dy/dx of x^1/2 + 4/(x^1/2) + 4

This can be rewritten as x^1/2 + 4x^-1/2+ 4, hence dy/dx = (1/2)x^-1/2 - 2x^-3/2

Answered by Olufayojimi O. • Maths tutor

3245 Views

A farmer has 30 boxes of eggs. There are 6 eggs in each box. Write, as a ratio, the number of eggs in two boxes to the total number of eggs. Give your answer in its simplest form.

The question asked for the ratio between the number of eggs in 2 boxes and the total number of eggs. From the question we know that the total number of eggs is the same as the number of eggs in 30 boxes. ...

Answered by Olufayojimi O. • Maths tutor

12311 Views