Question 1 20 pts Given y = a sin (b (x - c)) + d, state whether the following statement is true or false. The value "b" helps determine the length of the period. O True O False Question 2 20 pts The motion of which of the following examples can be described by a sinusoidal function? Be sure to select the best answer. O All of these. O The height above the ground of a person riding a Ferris wheel. O A small boat bobbing up and down on a series of ocean waves. O An oscillating spring.Question 3 20 pts Suppose the function y = 3.1 cos[0.23x + 1.3?) + 15 models the number of feet of sand available on a beach. Based on the function, what is the approximate range of sand available? 0 1.3? to 15 feet 0 6.? to 23.1 feet 0 3.1 to 15 feet 0 9.1 to 16 feet Question 4 20 pts Suppose the function HG) = 34 43cos(x + 35') represents the height of an object at time t. What is the maximum height of the object? 0 14 l{3'34 032 043 Question 5 20 pts The water depth at Johnny Mercers pier fluctuates with the tide sinusoidally. When the tide is in, the depth is 4.3 feet. When the tide is out, the depth is 2.1 feet. Which equation could be used to model this pattern? O y= 4.3sin(x) O y = 2.1 sin(x) +4.3 O y = 3.2sin(x) + 1.1 O y = 1.1sin(x) + 3.2