Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
Simplify whatever is in the parenthesis:
(5×^2-4x-1) and <span>(4x^2-4)
after that subtract the numbers you got from both </span>parenthesis after simplifying
Take the deritiivive
it is zero at pi/4 and it repeats at every pi
minimum at where slope goesfrom negative to positive
so at 5pi/4 and 13pi/4 so at every 2pi interval
evaluate origial at 5pi/4
=
=
or aprox 1.22509
Answer:C
Step-by-step explanation:45