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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

CB
Answered by Callum B. Maths tutor
15612 Views

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 ...

JS
Answered by James S. Maths tutor
13037 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) * 1...

OO
Answered by Oluwatobi O. Maths tutor
3293 Views

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 p...

AM
3921 Views

Expand and simplify (3 + 4*root5)(3 - 2*root5)

Using FOIL to expand the brackets we get

9 - 6root5 + 12root5 + 8*root5^2

Square rooting then squaring a number cancels out, so we are left with 8*5 or 40 for the last term.

...

CM
Answered by Callum M. Maths tutor
4179 Views

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