Answer:
The coordinates for the vertex are ( -6 , 1 )
Answer:
5:6
20:24
30:36
Step-by-step explanation:
In order to find an equivalent ratio, you have to multiply or divide your numerator and denominator by the same number.
For example:
10/12 x 3/3
30/36 = 30:36
10/12 is equivalent to 30:36
Splitting up the interval of integration into
subintervals gives the partition
![\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac1n%5Cright%5D%2C%5Cleft%5B%5Cdfrac1n%2C%5Cdfrac2n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7Bn-1%7Dn%2C1%5Cright%5D)
Each subinterval has length
. The right endpoints of each subinterval follow the sequence

with
. Then the left-endpoint Riemann sum that approximates the definite integral is

and taking the limit as
gives the area exactly. We have

Answer:
Step-by-step explanation:
Sorry, I could do only the first three questions