Answer:
1) 11.581
2) 10.78
3) 14.8
4) 3.5
5) 16.28
6) .64
7) 23.3
8) 1.24
9) 6.53
10) 1.59
11) 8.79
12) 27.7919
Step-by-step explanation:
Ur smarter than u think. ^_^
Length of shorter piece is 13 ft
Length of longer piece is 61 - 13 => 48 ft
Replace x with π/2 - x to get the equivalent integral

but the integrand is even, so this is really just

Substitute x = 1/2 arccot(u/2), which transforms the integral to

There are lots of ways to compute this. What I did was to consider the complex contour integral

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

and it follows that

Answer:
4.5 I hope I was not to late
Answer:
15.1 mm²
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
(where r is the radius and h is the height)
Given:
Substitute given values into the formula:
⇒ Lateral surface area = 2π(1.2)(2)
= 4.8π
= 15.1 mm² (nearest tenth)