Luis has a pyramid shaped plant pot. It has a square base with a side length of
1 answer:
You might be interested in
The integrals over B and T will be positive. Keeping fixed,
is strictly increasing over D as
increases, so the integrals over
(i.e. the bottom/top left quadrants of D) is negative but the integrals over
are *more* positive.
The integrals over R and L are zero. If we take , then
, which is to say
is symmetric across the
-axis. For the same reason, the integral over all of D is also zero.
Answer:
The sum is a binomial with a degree of 6
Step-by-step explanation:
we have
Group terms that contain the same variable
The sum is a binomial ( two terms) with a degree of 6
has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)
Using the washer method, the volume is given by the integral
where 3 - 1 = 2 is the distance from <em>y</em> = 3 to the axis of revolution, and similarly (1 + sec(<em>x</em>)) - 1 = sec(<em>x</em>) is the distance from <em>y</em> = 1 + sec(<em>x</em>) to the axis. The integrand is symmetric about <em>x</em> = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.
So the volume is