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: 3.6
Step-by-step explanation:
(Not the best at math but I am an above level student)
C= pi x diameter
C= pi x 1.205
C= 3.7
Answer:
less than/equal to -2
Or, greater than/equal to 2.5
Step-by-step explanation:
2x² - x - 10 ≥ 0
2x² - 5x + 4x - 10 ≥ 0
x(2x - 5) + 2(2x - 5) ≥ 0
(x + 2)(2x - 5) ≥ 0
Roots: -2, 5/2
x《 -2 or x》5/2
Substitute the values of a and b into the expression:
11 + 3 - 2
Add first because of order of operations (perform addition and subtraction in the order of occurrence from left to right):
14 - 2
Subtract (same justification as above just with subtraction instead):
12
Hope this helps!