First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .
Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94 seconds.
Answer in interval notation is (3, 5.94].
Answer:3
Step-by-step explanation:
Answer and Step-by-step explanation:
7. 70 - 180 = 110
8. 39 - 180 = 141
9. 81 - 180 = 99
10. 81 - 180 = 99
11. 115 - 180 = 65
12. 41+36 = 77 - 180 = 103
x = answer
Answer:
84
Step-by-step explanation:
<em>i dont know if this is right or not but basscially you do 60 divided by 5/7 and yea....</em>
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
