Find the riemann sum for
f(x) = sin x
over the interval
[0, 2π],
where
x0 = 0, x1 = π/4, x2 = π/3, x3 = π, and x4 = 2π,
and where
c1 = π/6, c2 = π/3, c3 = 2π/3, and c4 = 3π/2.

The value of riemann sum is -0.70836.

Step-by-step explanation:

The given function is

over the interval  [0, 2π],  where

Using Riemann sum formula

where, n=4, so

The given function is f(x)=sin x, so we get

Therefore the value of riemann sum is -0.70836.

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

good job you smart son of a gun you are smarter that einstein. 7