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How do you integrate the function cos^2(x)

At first, you might think that it is possible to perform this integral simply by inspection, using the 'backwards chain rule'. This method would consist of adding one to the power, to get cos 3 (x), then div...
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Answered by Edward R. • Maths tutor
8708 Views

For a cuboid, the longest side is two units more than the shortest side, and the middle length side is one unit longer than the shortest side. The total surface area of the cuboid is 52 units². (a) Construct an equation to calculate the surface area.

First label all the sides with letters:longest side = amiddle length side = bshortest side = cNow convert the question into equation form: "the longest side is two units more than the shortest side&quot...
EH
Answered by Eden H. • Maths tutor
9645 Views

What is the natural logarithm?

The standard rule for integration is: integrate kx^n dx = kx^(n+1)/(n+1). However, if we try and integrate 1/x in this manner we get, x^0/0, i.e. 1/0, which is infinity. However, if we look at a graph of 1/x...
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Answered by Eden H. • Maths tutor
5271 Views

Dipen and Nisha are planning a wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct?

Prices are: £40 per guest. Total cost reduced by 5% with over 60 guests. First, we work out the cost of Nisha's suggestion. £40 x 70 guests = 2800 To find 5% of this, we can divide by 10 to get 10% (280), an...
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Answered by Lily M. • Maths tutor
7843 Views

How do I solve a quadratic equation?

The best way to solve a quadratic function is to put brackets into the equation. Start with an example Find x when y=0 for the function y=x * 2 + 5 x + 6 As y=0 make the whole equation= 0: x * 2 + 5 x + 6=0 ...
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Answered by Rosiered B. • Maths tutor
4725 Views