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Find two positive numbers whose sum is 100 and whose product is a maximum.

Call the two numbers x and y. The constraint is that x + y =100, and we need to maximise A=xy.
Rearrange the constraint to y = 100 - x, and substitute into the product equation.
A = x(100-x) = ...

Answered by Maths tutor
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Dónde se come mejor en España?

Es de saber común que la comida en la Península Ibérica es de calidad suprema. Sin embargo la gente no tiende a ponerse de acuerdo sobre cuál es la región española con la mejor gastronomía. Los valenciano...

Answered by Spanish tutor
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Solve the integral: int(x^3+4x^2+sinx)dx.

First, since there are terms with different factors of x summing together, we can separate these into three individual integrals as follows:int(x3 dx) + 4int(x2dx) + int(sinx dx)Then...

Answered by Maths tutor
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Why is Lithium a +1 ion and Chlorine a -1 ion?

The answer lies in how many electron there are in the outer shells of each of the elements and how many electrons they can get or give away to gain a fuller outer shell. Lithium has 1 electron in its oute...

TD
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A triangle has sides of 4cm and 5cm with the hypotenuse unknown. What is the length of the unknown side?

Pythagorus' theorem a^2 + b^2 = c^2
4^2 + 5^2 = c^216+25 = c^241 = c^2Root 41 or 6.403 = c

Answered by Maths tutor
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