Answer:
im sorry if not but i think its 7.24
Step-by-step explanation:
Split up the integration interval into 4 subintervals:
![\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac%5Cpi8%5Cright%5D%2C%5Cleft%5B%5Cdfrac%5Cpi8%2C%5Cdfrac%5Cpi4%5Cright%5D%2C%5Cleft%5B%5Cdfrac%5Cpi4%2C%5Cdfrac%7B3%5Cpi%7D8%5Cright%5D%2C%5Cleft%5B%5Cdfrac%7B3%5Cpi%7D8%2C%5Cdfrac%5Cpi2%5Cright%5D)
The left and right endpoints of the
-th subinterval, respectively, are


for
, and the respective midpoints are

We approximate the (signed) area under the curve over each subinterval by

so that

We approximate the area for each subinterval by

so that

We first interpolate the integrand over each subinterval by a quadratic polynomial
, where

so that

It so happens that the integral of
reduces nicely to the form you're probably more familiar with,

Then the integral is approximately

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.
The total distance that was covered by the sprinter in Kilometers is:
<h3>How much is the total distance covered?</h3>
To obtain the total distance covered by the sprinter, we need to first realize that 1 Km is equal to 1000 meters. That said, the question above requires us to change 2400 meters to kilometers.
Thus we will have:
2400 Meters * 1 km / 1000 meters
= 2.4 km
So, the total distance covered by the sprinter in kilometers is 2.4
Learn more about meter conversions here:
brainly.com/question/26259781
#SPJ4
9514 1404 393
Answer:
A. x² -4
B. 2x² +8
Step-by-step explanation:
The area of a square is the square of the side lengths. That means the area of each large square is x², since it has a side length of x.
__
A. The area of 4 small squares is subtracted from the area of the large square to find the shaded area:
x² -4×1² = x² -4 . . . area of Figure A
__
B. The area of two small squares is added to the area of two large squares to find the shaded area:
2x² +2×2² = 2x² +8 . . . area of Figure B
Answer:
27 miles.
Step-by-step explanation:
if you count from the 15 miles from the east to the 12 miles in the west, it would add up to 27. hope this helped