How do i find the sinusoidal equation for this word problem? - sinusoidal function word problems
throughtout the school day varies respect the ability of students to sinusoidally with time. Mr. S. was a measure of the ability of students to focus, measure. We know that 1 hours later arrived in the school day, a student with a minimum of 10 a.m. to 4 p.m. hours, a minimum of 100
(A) Write two equations to provide a sine and cosine of this situation.
(B) If a student is at least 70 must learn something of this magnitude, the percentage of days 8 hours, a student can learn?
Sunday, February 21, 2010
Sinusoidal Function Word Problems How Do I Find The Sinusoidal Equation For This Word Problem?
1 comment:
When evaluating a sine equation, we need to know four values:
A - amplitude of the function, which is the distance from the center line in the top and bottom, or half the difference between the minimum and maximum
B - period, or over what period of time between the peaks
C - change horizontally, or how far from zero, the first peak (if cosine) between the first pass through or the rising value (chest).
D - vertical displacement, or the value of the median line (the minimum average and maximum values)
In this case, you say, the minimum is 10 and the maximum (or at least did I assume it was a mistake) 100. This gives a value of 45 and a D value of 55.
They also said bottom-up time is 3 hours, making itme down or bottom up and top twice, with a value of B for 6 hours.
We learn that to happen the first maximum daily in a time of four hours after school. This gives us the C-value (4 hours).
So now we have:
A 45 =
B = 6
C = 4
D = 55
The general equation of a sinusoidal function, taking into account this information:
Y = A [cos ([B/2pi] * Time + C)] + D
Close your values and you will receive:
Students treat = 45 cos [(* 3/pi time) + 4] + 55
) For some (B, you must determine when the attention of students _at_ 70th I use a calculator. Once you know if the student is 70 achieved it easy to determine if the student is less than 70To determine the time, then divide by 8 hours after the school day to determine the percentage.
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