Search our library of homework questions

Top answers

All subjects

All levels

Find the integral of the following equation: y = cos^2(x)

First convert y into a suitably form.cos(2x) = 1 - 2cos²(x)cos²x = (1-cos(2x))/2
integral of y = integral of (1-cos(2x))/2 = (1/2)*(x-(1/2)sin(2x)) + C = x/2 - sin(2x)...

Answered by Marc H. • Maths tutor

4088 Views

What is a geometric sequence?

A sequence is defined as a function with domain the set of the natural numbers, and codomain the set of the real numbers. A geometric sequence (a_n) is a sequence of the form: a_n = a_(n-1)*r, where r is ...

Answered by Georgios K. • Maths tutor

1412 Views

Translate this sentence into English: 'By sailing quickly, Marcus reached the city in five days.'

The English translation would read as: Marcus celeriter navigando ad urbem quinque diebus pervenit.Marcus : this noun (Marcus, -i, (m)) is the subject of the sentence, and therefore is in...

Answered by Lizzie B. • Latin tutor

2321 Views

The equation of a curve is xy^2= x^2 +1. Find dx/dy in terms of x and y, and hence find the coordinates of the stationary points on the curve.

dy/dx = (2x-y²)/(2xy)Stationary points: (1, root(2)) , (1, -root (2))

Answered by Rishi S. • Maths tutor

8775 Views

Donnez des exemples de ce que vous aimez faire pendant votre temps libre.

Pendant mon temps libre j'aime faire beaucoup de sport parce que c'est mon intention de rester toujours en forme. Depuis ma jeunesse, j'ai eu une passion pour le tennis car je regardais les meilleurs prof...

Answered by Louis G. • French tutor

3516 Views