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What is differentiation and integration?

An integral is an anti-derivative, meaning it will take the derivative we are assessing and return it back to its original function. Moreover, an integral is used to find the area under a curve. Differentiat...
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Answered by Othman A. • Maths tutor
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A linear sequence starts with: a + 2b ; a + 6b ; a + 10b etc. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b.

We know that the 2nd term has a value of 8. Thus a + 6b = 8;What is more, we also know that the 5th term has a value of 44. We also know that the next element in the sequence increases by 4b when compared to...
Answered by • Maths tutor
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Share £200 in the ratio 2:3

200/(2+3) = 4040 2 = 8040 3 = 120£80:£120
Answered by • Maths tutor
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3^2 + 4^2 = x^2. Find x

By Pythagoras’s theorem, a 2 +b 2 = c 2 . So x 2 = 9+16=25 and so by finding the square root of 25, x=5
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Answered by Luke M. • Maths tutor
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Find and simplify the point(s) of intersection of the curves: x^2 + y^2 =6 , y = x - 3

Substituting y = x-3 into the first equation and expanding brackets:(x-3) 2 +x 2 = 6 <=> 2x 2 -6x +9 =6 <=> 2x 2 -6x +3 =0Solving by using the quadratic formula:x=(6+- sqrt(36-4(2)(3)))/4 = (6+- ...
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Answered by Evans R. • Maths tutor
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