Answer:
Step-by-step explanation:
We are given:
Since ⇒
Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.
Note:
If it will be asked to find right endpoint too,
The average of left and right endpoint Riemann sums will give approximate result of the area under and it can be compared with the result of integral of the same function in the interval given.
So,
Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.
I believe it would be 5:00 pm, because 12 hours after 4:00 am is 4:00 pm, plus one hour is 5:00pm.
Answer:
x = 10
y = 25
Step-by-step explanation:
if you add the equations as they are then the 'y-term' is eliminated:
60x = 600
x = 10
substitute x=10 to find value of 'y':
40(10) + 4y = 500
400 + 4y = 500
4y = 100
y = 25
Check:
20(10) - 4(25) should equal 100
200 - 100 = 100
100 = 100
Given:
f(x) is an exponential function.
To find:
The value of f(0.5), to the nearest hundredth.
Solution:
The general exponential function is
For, x=-0.5,
...(i)
For, x=1.5,
...(ii)
Divide (ii) by (i).
Taking square root on both sides, we get
Putting b=0.882 in (i), we get
Now, the required function is
Putting x=0.5, we get
Therefore, the value of f(0.5) is 23.81.