Blog

Determine the intervals on which the function is increasing, decreasing, and constant. (5 points)

Find the inverse of the function. f(x) = x3 – 7 (5 points)

Convert -630° from degrees to radians. (5 points)

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points)y = + 2 

Find a cubic function with the given zeros. (5 points)-6, 7, -4  

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 13°7′. When the boat stops, the angle of depression is 50°42′ . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. (5 points)

Find the following using a calculator. Round to four decimal places. (5 points) log 0.87

Convert the angle 30°37’11” to decimal degrees, and round to the nearest hundredth of a degree. (5 points)

Find the exact value of sin (arccos ( )). For full credit, explain your reasoning. (5 points)

Find the exact value of arctan (sin ( )). For full credit, explain your reasoning. (5 points)