If s(t) = 3 sin(2 (t - π/6)) + 5, then the derivative is
s'(t) = 3 cos(2 (t - π/6)) • 2 = 6 cos(2 (t - π/6))
The critical points of s(t) occur at the values of t where s'(t) is zero or undefined. s'(t) is continuous everywhere, so we only need worry about the first case. We have
6 cos(2 (t - π/6)) = 0
cos(2t - π/3) = 0
2t - π/3 = arccos(0) + nπ
(where n is any integer)
2t - π/3 = π/2 + nπ
2t = 5π/6 + nπ
t = 5π/12 + nπ/2
If you're only looking for t in the interval [0,2π), then you have four critical points at t = 7π/12, t = 11π/12, t = 17π/12, and t = 23π/12.
Answer:
solution: ( 3 , 6 )
Step-by-step explanation:
make y the subject in equation 2:
insert this in equation 1:
solve for y:
Answer:
66 cm^3
Step-by-step explanation:
based on the formula for a prism -
<u>height * width * length</u>
which would mean -
<u>2 * 11 * 3</u>
22 * 3
66
volume = 66 cm ^3
hope this helps!!
Her estimate is lower than her actual cost because her total is 72.87 she is off by 1.72 because she only added 42,17,and 12 and forgot all about adding the cent or the .60,.38,and the .89.
Answer:
It flew 1,365 miles
Step-by-step explanation:
Just multiply the speed in mph by the time in hours so 455 * 3
