Chapter 4.4, Problem 65E

Please help me with the questions below. In a tidal river, the time between high tide and low tide is 6.2 hours. At high tide the depth of the water is 17.2 feet, while at low tide the depth is 5.6 feet. Assume the water depth is a sinusoidal function of time (i.e., could model with either a cosine or sine function). Sketch a graph the depth of the water over time if there is a high tide at 12:00 noon. Assume that noon is represented by t = 0. Label your graph, including high tide and low tide. You must space your tick marks on the horizontal axis by one-quarter of the cycle. Graph two full periods of the function and label each point that is a maximum, minimum, or midline point. Write an equation for the function. You must show how to determine essential features such as the amplitude, period, midline, and any potential other shifts. A boat requires a depth of 8 feet to sail and is docked at 12:00 noon. What is the latest time in the afternoon, the boat can set sail? Your answer…

What should be the luminous intensity of a LED lamp to be used in a workstation requiring 1076 lux if the lamp should be located 3.9 m above the workstation? Write your answer to two decimal places. A Moving to the next question prevents changes to this answer. Question 8

This problem illustrates a typical approach for creating a model. Use lower case letters. We want to express the area of a circle, A, as a function of its circumference, c. (a) Because we want a formula for area, start with the basic formula we know for the area of a circle in terms of its radius. A = (b) Because we want the area formula in terms of circumference and not radius, we need another formula that will allow us to replace r in terms of c. The formula that has both r and c in it is the circumference formula for a circle. Write out the circumference formula and then solve the formula for r. C = r = (c) Now substitute r in terms of c into your area formula in part (a). A(c) =

question 16

Solve parts b, c and d

Question 14 Given the following solve for the missing variable: Report answers to the nearest 2 decimal places X ?? 8. 7. Z-3.64

Please provide me with a step by step handwritten solution make sure to answer all aspects of the question