I'm not sure let me ask this girl I know her name is Jade
We split [2, 4] into
subintervals of length
,
![[2,4]=\left[2,2+\dfrac2n\right]\cup\left[2+\dfrac2n,2+\dfrac4n\right]\cup\left[2+\dfrac4n,2+\dfrac6n\right]\cup\cdots\cup\left[2+\dfrac{2(n-1)}n,4\right]](https://tex.z-dn.net/?f=%5B2%2C4%5D%3D%5Cleft%5B2%2C2%2B%5Cdfrac2n%5Cright%5D%5Ccup%5Cleft%5B2%2B%5Cdfrac2n%2C2%2B%5Cdfrac4n%5Cright%5D%5Ccup%5Cleft%5B2%2B%5Cdfrac4n%2C2%2B%5Cdfrac6n%5Cright%5D%5Ccup%5Ccdots%5Ccup%5Cleft%5B2%2B%5Cdfrac%7B2%28n-1%29%7Dn%2C4%5Cright%5D)
so that the right endpoints are given by the sequence

for
. Then the Riemann sum approximating

is

The integral is given exactly as
, for which we get

To check: we have

Answer:
x = 2
Step-by-step explanation:
To find the x-value that makes the equation true, we would have to solve for x in the equation. To do that, we would have to get the equation in the form x = _. That would be our answer.
4x - 3 = -9 + 7x
Add 9 to both sides to get rid of the -9 on the right side.
4x - 3 + 9 = 7x
Simplify.
4x + 6 = 7x
Subtract 4x from both sides to get rid of the 4x on the left side.
6 = 7x - 4x
Simplify.
6 = 3x
3x = 6
Divide both sides by 3 to get rid of the coefficient of 3 on the left side.
x = 6/3
Simplify.
x = 2
So, the x-value that makes the equation true would be 2.
I hope this helps. :)
The slope of line PQ is m1 = ( 3 - (-3) ) / (2 - (-2) ); then m1 = 6/4 = 3/2;
In the same way, the slope of line RS is m2 = -7/5;
But (3/2) x (-7/5) = -21/10, which is diferrent from - 1;
So, the lines aren't perpendicular.
Answer:
116 cm²
Step-by-step explanation:
The area of a circle = πr² ← r is the radius
shaded area = external area - internal area
= π × 6.5² - π × 2.3²
= π( 42.25 - 5.29)
= π × 36.96 ≈ 116 cm²