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How can I calculate the maximum value of the compound angle formulae Rsin(x+a) and Rcos(x+a)?

Often, the compound angle formulae can seem quite offputting, especially since exam pressures can mean the random "R" at the front of an angle addition formulae appears confusing. However, finding ...
LB
Answered by Luke B. • Maths tutor
15980 Views

How do I work out the nth term?

The nth term falls into the topic of linear sequences . A linear sequence is a set of numbers (such as "1, 2, 3, 4, ...") that are connected by a rule , which applies to every number in the sequenc...
LB
Answered by Luke B. • Maths tutor
193434 Views

Solve the simultaneous equations: 3x+2y=4 and 4x+5y=17

To solve this equation we need to make it so the x's or the y's of each equation are equal. To do this we need to multiply one or both equations so we can take or add one of the equations to the other. We ar...
AH
Answered by Arron H. • Maths tutor
18315 Views

A rectangle has an area of 20cm^2. Its length and width are enlarged by a factor of 3. Find the area of the enlarged rectangle.

I'd start by drawing out any rectangle with an area of 20cm^2 and labelling the length and width. Any correct combination will do (i.e. 2 X 10, 4 X 5, 20 X 1 etc.). In this example, I will use 4 X 5 Then mul...
DS
Answered by Daniel S. • Maths tutor
17422 Views

using the substitution u=6-x^2 integrate (x^3)/(6-x^2)^1/2 with respect to x, between 1 and 2

First we calculate du/dx = -2x and rearrange to get dx as the subject, dx=du/(-2x). Now we change the limits of integration because we are now integrating with respect to u. So the bottom limit will be u(1) ...
DB
Answered by Daniel B. • Maths tutor
5553 Views