AWS Trusted Advisor provides insight regarding which five categories of an AWS account? (Select the best answer.)

Which of the following is a measure of the a system’s ability to function without failure over a specified period of time and is often expressed in terms of Mean Time Between Failures?

Find given  

Find the derivative by using the product rule. If possible, simplify.  Given

Write an algebraic expression in .

From a distance of 45 feet from the base of a tree, the angle of elevation to the top of the tree is

Write the equation for a sine curve with a period of , an amplitude of 4, and a vertical translation up 5 units. Equation: 

Evaluate the function giving the exact value.  The answer must be in fraction form and simplified radical form.  Decimal approximations will be marked incorrect.

 A research vessel detects an object on the sea floor that is 6500 feet diagonally from the vessel.  The angle of depression between the water surface and the object is .  How deep (vertical depth) is the object?  Round your answer to 2 decimal places. Show your diagram, equation(s) and work on the paper you will submit at the end of the test. The depth of the object is feet.

Write an equation using the cosine function that models the graph below.