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Prove the quadratic formula for ax^2 + bx + c = 0, where a is non 0 and a,b and c are reals.

By completing the square: ax^2 + bx + c = 0 => x^2 + (bx)/a + c/a = 0 (divide both side by a, since a is non-zero) => (x + b/(2a))^2 + c/a - (b/(2a))^2 = 0 (If this is not immediately clear, try expand...
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Answered by ShenZhen N. • Maths tutor
10049 Views

Evaluate the indefinite integral: ∫ (e^x)sin(x) dx

Note: for what’s about to come, ' denotes derivative with respect to x. Method 1 (integration by parts): let I = (e^x)sin(x) dx let u = sin(x), u' = cos(x) and v' = e^x = v then integrate by parts, => I =...
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Answered by ShenZhen N. • Maths tutor
13216 Views

Why is the human circulatory system a double system?

The human circulatory system consists of the heart - a pump and a series of tubes - the blood vessels containing the blood. There is an atrium and a ventricle on each side of the heart and the two sides can ...
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Answered by Yuhui Z. • Biology tutor
4860 Views

What happens when a reversible reaction is at equilibrium?

A reversible reaction is one where the reaction can occur both ways. Therefore, in a closed system where nothing can escape, some products made will always react in the reverse direction to make the reactant...
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Answered by Yuhui Z. • Chemistry tutor
5477 Views

How do I find the area under a curve between two points?

Assuming you know the equation of the line, this could possibly be done in several ways. If you are able to integrate the equation of the line definitely using your current knowledge, then do this between th...
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Answered by Reece R. • Maths tutor
5390 Views