Use the given graph to determine the limit, if it exists.   Find and . (5 points)

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. B = 137°, c = 6, b = 11 (5 points)

Which of the following exercises would typically be performed predominantly using the anaerobic system for energy? 

The position of an object at time t is given by s(t) = -9 – 3t. Find the instantaneous velocity at t = 8 by finding the derivative. (9 points)

Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ± x. (5 points)

Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of . (5 points)

Based on scientific research the recommended amount of water to drink in a day is: 

Express the complex number in trigonometric form. -4i (5 points)

A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 25 feet and the height from the ground to the front doors is 7 feet, how long is the ramp? (Round to the nearest tenth.) (5 points)

Calculate [H3O+] and [OH-] in the following aqueous solution. Classify the following solution as acidic, neutral, or basic.             pH =   4.2500