Top answers

What is the integral of (cos(x))^2?

cos(2x) = 2cos 2 (x)-1 by the double angle formula. Rearrange to give cos 2 (x) = (cos(2x)+1)/2 Integrating this gives sin(2x)/4 + 1/4x + c
MC
Answered by Max C. • Maths tutor
7255 Views

Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7

First we rearrange the equation y + 4 x = 7 to y = −4 x + 7 So we can see that the gradient of this equation is −4. Since the line we are looking for is parallel, it must have the same gradient, −4. So now w...
JK
Answered by James K. • Maths tutor
5967 Views

A group of 120 Year 4s and Year 5s are going on a school trip. 60% of the children going on the trip are Year 4s, and of the Years 4s, 1/4 are boys. How many Year 4 girls are going on the trip?

There are quite a few stages to this problem, so let's work through each piece of information one by one. We know that the total number of children is 120, and 60% are Year 4s. Finding 60% straight away can ...
JK
Answered by James K. • Maths tutor
3810 Views

Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7

First we rearrange the equation y + 4 x = 7 to y = −4 x + 7 So we can see that the gradient of this equation is −4. Since the line we are looking for is parallel, it must have the same gradient, −4. So now w...
DS
Answered by David-Ruben S. • Maths tutor
15059 Views

Solve the simultaneous equations: 5x + 3y = 9 and 7x - 2y = 25.

To solve these similar equations, we must either first eliminate x or y. There are multiple ways of doing this, one being rearranging one of the equations so that it is either "x=.." or "y=......
MG
Answered by Màiri G. • Maths tutor
12745 Views