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Compute the integral of f(x)=x^3/x^4+1

A basic function of integration states that: for a function f(x), the integral of f'(x)/f(x) = ln[f(x)] (the natural log of the modulus of f(x)). Take the denominator of f(x), x 4 +1. We will refer to this a...
TD
Answered by Tyla D. • Maths tutor
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A curve has parametric equations x = 1 - cos(t), y = sin(t)sin(2t) for 0 <= t <= pi. Find the coordinates where the curve meets the x-axis.

If the curve is meeting the x-axis, notice that this means y = 0. So we must solve sin(t)sin(2t) = 0 for t within the given bounds. Using a trigonometric identity sin(2t) = 2cos(t)sin(t), we obtain sin 2 (t)...
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Answered by Callum B. • Maths tutor
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What is the difference between simple and compound interest?

Simple interest means the amount of money increases by the same amount each year, compound interest means the amount of money increases by the same proportion each year. For example if you deposited £100 in ...
JS
Answered by James S. • Maths tutor
13822 Views

Sam needs to make a drink from orange cordial and lemonade in the ratio 1:9. How much orange cordial does he need to make 1500ml?

1 portion of orange cordial is mixed with 9 portions of lemonade There are 10 portions in total one-tenth of the total volume would be the volume of orange cordial needed (1/10) * 1500 = 150 Therefore 150ml ...
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Answered by Oluwatobi O. • Maths tutor
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Why can't you divide something by 0?

Let's go back to the definition of division: If we have a number o apples a and b persons to share them with, we can say that each person gets a/b apples. Example: 4 apples and 2 persons : 4/2= 2 apples for ...
AM
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