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p and q are two numbers each greater than zero. √(p^2 + 5q) = 8 and √(p^2 – 3q) = 6. Find the values of p and q.

First of all, we have to raise to the power of two the first equation and will obtain: p^2 + 5q = 64. 
We have to proceed the same for the second equation and will obtain: p^2 - 3q = 36. 
S...

AB
8368 Views

What should the general structure of my personal statement look like?

Your personal statement should spend two thirds discussing why you want to study the degree you are applying for. This includes explaining what you love about the subject and any experience you have in...

LH
3833 Views

How do we differentiate y = arctan(x)?

Step 1: Rearrange y = arctan(x) as tan(y) = x.

Step 2: Use implicit differentiation to differentiate this with respect to x, which gives us:

<...

SC
Answered by Solly C. Maths tutor
82835 Views

How do you find the integral of sin^2(x) dx?

Sin^2(x) cannot be integrated in its current form so you must use trigonometric identities to change sin^2(x) into something else.

Use the formula for cox(2x): cos(2x)=cos(x+x)=cos^2(x)-s...

CW
Answered by Chloe W. Maths tutor
9449 Views

How can I effectively use graphs in my essay?

Effective use of graphs is almost guaranteed to bring you extra points in the exam. There are a few things to help you use them well.1) Use relevant graphs. There is no point, for example, drawing a Deman...

VG
Answered by Veleka G. Economics tutor
7872 Views

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