The position of a paddle on a waterwheel after t seconds is modeled by f(t) = 5.25 cosine (StartFraction pi Over 16 EndFraction
t minus pi). A positive function value indicates the paddle is above the waterline, while a negative value indicates the paddle is below the waterline.
What is the initial position of the paddle?
10.5 ft above the waterline
5.25 ft above the waterline
0 ft at the waterline
5.25 ft below the waterline
What is the initial position of the paddle?
10.5 ft above the waterline
5.25 ft above the waterline
0 ft at the waterline
5.25 ft below the waterline
2 answers:
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Answer:
t(d) = 0.01cos(5π(d-0.3)/3)
Step-by-step explanation:
Since we are given the location of a maximum, it is convenient to use a cosine function to model the torque. The horizontal offset of the function will be 0.3 m, and the horizontal scaling will be such that one period is 1.2 m. The amplitude is given as 0.01 Nm.
The general form is ...
torque = amplitude × cos(2π(d -horizontal offset)/(horizontal scale factor))
We note that 2π/1.2 = 5π/3. Filling in the given values, we have ...
t(d) = 0.01·cos(5(d -0.3)/3)
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of times Emma mows the lawn
y------> the number of hours Emma babysits
we know that
------> inequality that represent the situation
The solution is the shade area above the solid line between the values of x and y positive
The equation of the solid line is equal to
The slope of the line is negative
The y-intercept of the line is the point (value of y when the value of x is equal to zero)
The x-intercept of the line is the point (value of x when the value of y is equal to zero)
so
The graph in the attached figure
