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The nth term is a formula that allows us to find the value of a term in a sequence given its position in the sequence, whether this is the second term (n=2) or the millionth (n=1000000). In the above sequ...

Rule of differentiating is to times down by the power and then reduce it by one.

Firstly we will handle the 2x^​5​:

(2*5)x^5-1=10x^​4

Here we need to get rid of either the x or the y to find one solution to start us off. By adding these equations together we get:

3x+5x+2y-2y=9+7

The y's are eliminated to l...

To find the turning points we need to find dy/dx and set it equal to zero. From there we can find the x coordinate and substitute it back into the origional equation to find the y coordinate.

This is an implicit function, meaning the x and y terms are not able to be seperated onto different sides, i.e. y=f(x). Therefore, we must use implicit differentiation. B...