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Solve the following simultaneous equations: 2x - 3y = 16, x + 2y = -6

First we label the two equations as (1) and (2):2x - 3y = 16 (1)x + 2y = -6 (2)We want both equations to have the same number before one of the variables so the easiest way is to multiply equation (2) by ...

Answered by Tutor401319 D. Maths tutor
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The diameter of a circle is 14cm, work out its area

The formula for the area of a circle is π x r2 and the radius of the circle (r) is found when you divide the diameter (given in the question) by 2. Therefore, when plugging in the radius (14 di...

Answered by Peter N. Maths tutor
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If the velocity of a particle is given by t^2+t, then determine the acceleration of the particle when t=4.

To get from velocity to acceleration, you must derivate the velocity equation. This is because acceleration is the rate at which velocity changes so to change the velocity into acceleration it must be der...

Answered by Maths tutor
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How do I check if events are independent (in statistics / probability)?

The sentence 'event A is independent to event B' means that the probability of A does not affect the probability of event B. In mathematical terms, this can be written as:Prob(A and B) = Prob(A) x Prob(B)...

Answered by Maths tutor
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Integrate Sin(2X)

-1/2 Cos(2X)

Answered by Maths tutor
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