Split up the integration interval into 6 subintervals:
![\left[0,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac\pi2\right],\ldots,\left[\dfrac{5\pi}4,\dfrac{3\pi}2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac%5Cpi4%5Cright%5D%2C%5Cleft%5B%5Cdfrac%5Cpi4%2C%5Cdfrac%5Cpi2%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7B5%5Cpi%7D4%2C%5Cdfrac%7B3%5Cpi%7D2%5Cright%5D)
where the right endpoints are given by

for
. Then we approximate the integral

by the Riemann sum,


Compare to the actual value of the integral, which is exactly 4.
Answer: X= 6-4^z/2
Step-by-step explanation: first you need to get rid of the 4. You subtract it from both sides. So now
2x=6-4 to the power of z
So now you need to get rid of the 2. You divide both sides by two. Then you get
X= 6-4^z/2
The rate at which the ice changes is -3/8 lb per hr
<h3>What is the rate the ice changes?</h3>
The given parameters are:
Changes =1 3/4 lb to 1/4 lb
Time = 1/4 hr.
The rate the ice changes is calculated as:
Rate = Change/Time
So, we have
Rate = (1/4 lb - 1 3/4 lb)/(1/4 hr)
Evaluate the difference
Rate = (-1 1/2 lb)/(1/4 hr)
Evaluate the quotient
Rate = -3/8 lb per hr
Hence, the rate at which the ice changes is -3/8 lb per hr
Read more about rates at:
brainly.com/question/19493296
#SPJ1
Answer:
t
Step-by-step explanation:
21
is what I got on my calculator