Solve the triangle. A = 51°, b = 14, c = 6 (5 points)

Use the given graph to determine the limit, if it exists.Find . (7 points) 

(05.05 MC)  Your body loses sodium when you sweat. Researchers sampled 38 random tennis players. The average sodium loss was 500 milligrams per pound and the standard deviation was 62 milligrams per pound. Construct and interpret a 99% confidence interval to estimate the mean loss in sodium in the population. (5 points)

Write the difference between the following.  If there are more than one difference, write all for full credit.      α and β fructose    

Simply supported beams loaded with only gravity loads require longitudinal reinforcement along the bottom of the beam.

(05.01 LC)  A polling company has decided to increase the size of its random sample of voters from about 1,000 people to about 2,800 people right before an election. A poll was designed to estimate the proportion of voters who favor a new law banning cell phone use in Internet coffee shops. What is the effect of this increase? (4 points)

Find the standard form of the equation of the parabola with a focus at (0, -10) and a directrix at y = 10. (5 points)

The sugar present in DNA is aldohexose or aldopentose ?

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

Two forces with magnitudes of 90 and 50 pounds act on an object at angles of 30° and 160°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer. (5 points)