Answer:
True. The absolute value produces a positive value, but then when you negate that value, it would always be negative. What's important is we're not taking the negative of the number being absolute valued itself, but rather we're taking a negative of the result.
Step-by-step explanation:
Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
![\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac2n%5Cright%5D%2C%5Cleft%5B%5Cdfrac2n%2C%5Cdfrac4n%5Cright%5D%2C%5Cleft%5B%5Cdfrac4n%2C%5Cdfrac6n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7B2%28n-1%29%7Dn%2C2%5Cright%5D)
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
where 
. Each interval has length 
.
At these sampling points, the function takes on values of
We approximate the integral with the Riemann sum:
Recall that
so that the sum reduces to
Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:
Just to check:
I think i only get some of it. this is what i did
x = -3 to 4y = 0.3 to 3if we use -3 and 3a < -1 < b
a= -2 to infiniteb= 0 to infinite
Answer:
6sqrt2(cos(-5pie/4)+isin(-5pie/5))
Step-by-step explanation:
Answer:
A Rational number is a number that can be written as a ratio in fraction form.
An Irrational number is a number that, when in decimal form, does not terminate or repeat.
Step-by-step explanation:
1.485 can be written as 1 485/1000 - it is rational
0.187345911... continues on and does not repeat - it is irrational
333.051422218... continues on and does not repeat - it is irrational
0.2268715 can be written as 2268715/10000000 - it is rational
1.24 can be written as 1 24/100 - it is rational
