The formula for the sum of geometric series = a (1 - r^n) / 1 - r
when it will be an infinite geometric series. the term r^n will equal to zero because and number < 1 that is raise to the power infinity the answer is zero that is why in a infinite geometric series, sum = a / 1 - r.
if the r < 1 then there will be no numerical answer because the sum will be infinity. that is why r < 1 to have a sum
Area of the shaded sector = (120/360) * pi * 10^2
= 104.72 square units
Area of the other sector = 2 * 104.72 = 209.44 sq units
Answer:
Step-by-step explanation:
The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.
For the integral from [0, 2], the equation of the line is -3x + 6;
For the integral from [2, 3], the equation of the line is 3x - 6.
We integrate then:
and
sorry for the odd representation; that's as good as it gets here!
Using the First Fundamental Theorem of Calculus, we get:
(6 - 0) + (-4.5 - (-6)) = 6 + 1.5 = 7.5
Answer:
really what even is this
Step-by-step explanation:
this makes no sense