The given curve crosses the x-axis whenever x is a multiple of π, and it lies above the x-axis between consecutive even and odd multiples of π. So the regions with area S₀, S₁, S₂, ... are the sets
and so on, with
for natural number k.
The areas themselves are then given by the integral
Integrate by parts twice. Take
so that
then
so that
Overall, we find
or
Using the antiderivative and the fundamental theorem of calculus, we compute the k-th area to be
Since , the sum we want is a convergent geometric sum. As n goes to ∞, we have
Answer:
39 units
Step-by-step explanation:
when its a rectangle just multiply the two side lengths together to get the answer
This is what WolframAlpha says. Look at the image below.
In max’s tea shop there is 25 percent (%) of caffeinated tea of the total number of tea present in his shop, in fraction form it 1/4.
Max's tea shop served all teas = 88
Max's tea shop served caffeinated tea = 22
Here we have to find the percentage of caffeinated tea with the overall tea his tea shop has, make the fraction value of the given number then after finding the fraction then multiply it by 100
According to the question
Percentage = number of caffeinated tea/total number of tea * 100
Percentage = 22/88 * 100
Percentage = 2/8 * 100
Percentage = 1 / 4 * 100
Percentage = 25 %
Therefore in max’s tea shop there 25% of caffeinated tea.
Learn more about percentage :
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