Let t be the number of seconds elapsed after the wheel begins rotating counterclockwise. you find it takes 3 seconds to reach the top, which is 53 feet above the ground. the wheel is rotating 12 rpm and the diameter of the wheel is 50 feet. let d(t) be your height above the ground at time t.
a. argue that d(t) is a sinusoidal function, describing the amplitude, phase shift, period and mean.
amplitude:
phase shift:
period:
mean:
b. when are the first and second times you are exactly 28 feet above the ground? (enter your answers as a comma-separated list.)
t= sec
c. after 29 seconds, how many times will you have been exactly 28 feet above the ground?
times

2593 feet

Step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is