Find the derivative of f(x) = at x = -8. (6 points)

The bond that links sugar to nitrogenous base is called _________________

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 74°, a = 14 cm, c = 20 cm (5 points)

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

Find an equation in standard form for the hyperbola with vertices at (0, ±4) and foci at (0, ±5). (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)

Find the center, vertices, and foci of the ellipse with equation 4×2 + 6y2 = 24. (5 points)

(05.05 MC)  The number of minutes of commercials shown per hour was determined 12 times at random. The results are 14, 13, 15, 11, 17, 18, 11, 14, 17, 18, 15, and 13 minutes of commercials shown per hour. Construct a 98% confidence interval for the mean number of minutes of commercials shown per hour. (4 points)

Graph the ellipse with equation = 1. (5 points)

(05.02 LC)  The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are true? (4 points) The distribution of the sample mean is approximately Normal. The standard deviation is equal to that of the population. The distribution of the population is exactly Normal. The distribution is biased.