Average speed is given by total distance traveled divided the total time taken.
Given that the distance from Mason's home to their son's college campus is 154 miles, then a round trip (to and fro) <span>from their house to their son's college campus will be 2 * 154 = 308 miles and the journey took 5 and a half hours.
Therefore, the average speed is given by:
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The area of a triangle is 180
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
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