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solve 2cos^2(x) - cos(x) = 0 on the interval 0<=x < 180

we start  y factoring and solving for each equation:

cos(x) (2cos(x) - 1) = 0 

this means: 

cos(x) = 0 and cos(x) = 1/2

from the first equation we get:   x = 90

and from...

DS
Answered by Dimitris S. Maths tutor
9064 Views

Expand the brackets and simplify: 7(2x+3y)-x(14-y)

= 14x+21y-14x+xy

=y(21+x)

IA
Answered by Ilan A. Maths tutor
5830 Views

Create a program that checks for syntactical errors in an email address.

#Of course this question could be expanded into a program as large or small as desired, dependant on how rigorous wants the program to become. The setup I created here checks for some basic syntactical er...

CH
1871 Views

y = artanh(x/sqrt(1+x^2)) , find dy/dx

Some of these examiners quite like asking students to find the derivative of an inverse trig or hyperbolic function to try and catch someone off guard. The best way to approach these is to first multiply ...

EL
7313 Views

simplify and rationalise 1/ sqrt(12)

  1. Start by simplifying the denominator  

          - We can write sqrt(12) as sqrt (4*3). 

          - This can be written as sqrt(4) * sqrt(3) 

          - We know the squ...

MF
9590 Views

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