Answer:
Integral: 
Area: 6
Step-by-step explanation:
![\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%5Cpi%20_0%20%7B3sinx%7D%20%5C%2C%20dx%20%20%3D%20-3%5Bcosx%5D_%7B0%7D%20%5E%7B%5Cpi%7D%20%3D%206)
46 because if the age of the son was 8 then the father was 24 and if we add 8 (because that’s how many years passed) we get 16 and 32 which fit the criteria so if we take off 1 year on each (because only 7 years pass instead of 8) we can add them together and get 46
Answer:M = A + |B|.
Step-by-step explanation:The maximum value of the function is M = A + |B|. This maximum value occurs whenever sin x = 1 or cos x = 1. The minimum value of the function is m = A ‐ |B|. This minimum occurs whenever sin x = −1 or cos x = −1.
10. acute angles: 0
Right angles: 4
Obtuse angles: 0
Perpendicular lines: 0
Parallel lines: 2
11. Acute angles: 2
Right angles: 0
Obtuse angles: 1
Perpendicular lines: 0
Parallel lines: 0
12. H
Answer:
$878.25
Step-by-step explanation:
Continuously compounded interest is:
A = Pe^(rt)
where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of compoundings.
Here, P = 560, r = 0.09, and t = 5.
A = 560e^(0.09×5)
A = 878.25
