Trigonometric and Polar Functions

If the volume of tank oscillates between 2000 gallons at its lowest and 5000 gallons at its highest due to a pumping system that operates on a sinusoidal schedule every 8 hours what is the approximate volume rate of change per hour when it is filling the most quickly?

Which term describes how many cycles a sinusoidal function completes in 2π units?

If the function $f(x) = \frac{x^2 - 4}{x - 2}$ has a removable discontinuity, what is the value of $f(2)$ after the discontinuity has been removed?

What does "sin" represent in the equation $y = \\sin(x)$?

Which value determines the period of a cosine function in y = cos(bx)?

What is the amplitude of the function $y = -5 ext{sin}(x)$?

Which transformation does not affect the period of a basic trigonometric function $y = A \sin(Bx)$?

How can you classify the behavior around x = c if f(x) approaches different limits from either side as x approaches c?

If a Ferris wheel has a diameter of 50 meters and completes one full rotation every minute, at what rate is a person ascending when they are 12.5 meters above the ground level assuming the base of the Ferris wheel is at ground level?

A pendulum’s motion over time can be modeled using a sine curve; which variable represents how far from equilibrium position it swings at its peak?