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Solve the equation sec^2(x) - 4tan(x)= -3 , 0 ≤x≤ 2π

To solve this problem, we have to look at some trig. identities that will help us simplify the problem.The formula booklet is always a great place to start! You can find that sec^2(x) = 1 + tan^2(x). Subs...

PH
Answered by Patrick H. Maths tutor
2839 Views

Show algebraically that (4n-3)^2 - (2n+5)^2 is always a multiple of n-4

First we expand the brackets by squaring each side(4n-3)2 = (4n-3)(4n-3)= 16n2 - 24n + 9(2n+5)2 = (2n+5)(2n+5)= 4n2 + 20n + 25Remember the expression i...

EB
Answered by Ella B. Maths tutor
3206 Views

Put the following in order of size, smallest first: 8/sqrt3, sqrt6*sqrt2, sqrt48-sqrt27

First part of the question is to recognise that these are surds and we will need to simplify them. Then it is asking to place the values from smallest to highest. In order to simplify the surds we have t...

SS
Answered by Sandeep S. Maths tutor
3320 Views

solve the Simultaneous equations: y= x+6 and y=2x^23

2x2 = x + 62x2 - x - 6 = 0
[+-1 x-12]2x2 - 4x + 3x - 6 =02x(x-2) 3(x-2) = 0(2x + 3)(x-2) = 0x =2 or -3/2
y = 2 + 6 y = 8
y = -3/2 + 6y = 9/2
(2,8)(-3/2...

LD
Answered by Lehana D. Maths tutor
3129 Views

How many book and reference should I put into my personal statement?

The main idea for your personal statement is to show that you are enthusiastic about your course and willing to commit. You can refer to as many books as you like but make sure that they all have a purpos...

EY
9094 Views

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