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Express 5/(2-sqrt(3)) in the form a + b*sqrt(3)

The first step that needs to be taken is to get rid of the square root from the denominator. This can be done by multiplying the top and bottom of the fraction by 2 + sqrt(3). This gives (10 + 5sqrt(3...

GV
Answered by Guy V. Maths tutor
10782 Views

differentiate y=8x^3 - 4*x^(1/2) + (3x^2 + 2)/x

y= 24x^2 - 2x^(-1/2) + 3 - 2x^-2

AM
Answered by Abubakar M. Maths tutor
5897 Views

Given a function f(x)=3x^2+5x-1, find its derivative.

Derivative of 3x^2 is 3*(derivative of x^2) which is 3*(2x)=6x. Derivative of 5x is 5*(Derivative of x) which is 5*1=5 and derivative of (-1) is 0. Hence the answer is derivative of f(x) defined above is ...

CF
Answered by Carla F. Maths tutor
6275 Views

Make x the subject of the following formula: 2x-4=2y.

To answer this question we must rearrange the equation to isolate y.Firstly, add 4 to each side, giving 2x=2y+4; Finally, divide both sides by 2 giving x=(2y+4)/2.

SS
Answered by Simbarashe S. Maths tutor
3966 Views

Make x the subject of the following equation: 2x-4=2y.

To answer this question we must rearrange the equation to isolate y.Firstly, add 4 to each side, giving 2x=2y+4; Finally, divide both sides by 2 giving x=(2y+4)/2.

SS
Answered by Simbarashe S. Maths tutor
4590 Views

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