Juan is making t-shirts to sell at a concert.
1 answer:
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Using the shell method, the volume is given exactly by the definite integral,
Splitting up the interval [0, 1] into 5 subintervals gives the partition,
[0, 1/5], [1/5, 2/5], [2/5, 3/5], [3/5, 4/5], [4/5, 5]
with left and right endpoints, respectively, for the -th subinterval
where . The midpoint of each subinterval is
Then the Riemann sum approximating the integral above is
(compare to the actual value of the integral of about 14.45)
Answer:
a)
b)
c) term number 17 is the one that gives a value of 40
Step-by-step explanation:
a)
The sequence seems to be arithmetic, and with common difference d = 3.
Notice that when you add 3 units to the first term (-80, you get :
-8 + 3 = -5
and then -5 + 3 = -2 which is the third term.
Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:
That in our case would give:
b)
Therefore, the term number 20 can be calculated from it:
c) in order to find which term renders 20, we use the general form we found in step a):
so term number 17 is the one that renders a value of 40