Answer:
1/2
Step-by-step explanation:
Anwer:
Theres not enough info. given to solve the prob, post more info.
Step-by-step explanation:
9514 1404 393
Answer:
(k -6)
Step-by-step explanation:
The given quadratic is a perfect square, so has one repeated binomial factor:
k^2 -12k +36 = (k -6)^2
<span>since sin and cos = each other at pi/4; take your integrals from 0 to pi/4
</span><span>[S] cos(t) dt - [S] sin(t) dt ;[0,pi/4]
</span>
<span>to revolve it around the x axis;
we do a sum of areas
[S] 2pi [f(x)]^2 dx
</span>
<span>take the cos first and subtract out the sin next; like cutting a hole out of a donuts.
</span><span>pi [S] cos(x)^2 dx - [S] sin(x)^2 dx ; [0,pi/4]
</span>
<span>cos(2t) = 2cos^2 - 1
cos^2 = (1+cos(2t))/2
</span>
<span>1/sqrt(2) - (-1/sqrt(2) +1)
1/sqrt(2) + 1/sqrt(2) -1
(2sqrt(2) - sqrt(2))/sqrt(2) = sqrt(2)/sqrt(2) = 1</span>
Answer:
Yes it is is 392.9 m^3
Step-by-step explanation:
Volume of cylinder is π*r^2*h, π times radius squared times height.
Since the diameter is 5.2, the radius is 2.6 (half of it). 2.6^2 = 6.76, and the height is 18.5, 6.76*18.5 = 125.06. Multiply it by pi to get 392.887577258, round it to 392.9, The volume is 392.9 cubic meters.