Find the limit of the function by using direct substitution. (6 points)

A railroad tunnel is shaped like a semiellipse, as shown below.   The height of the tunnel at the center is 27 ft, and the vertical clearance must be 9 ft at a point 24 ft from the center. Find an equation for the ellipse. (5 points)

Answer the following questions         If the coding strand of DNA has a sequence   —- GACTCTGGCAGAAATC——   Write the sequence of the other strand of DNA     

(05.05 LC)  A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90% confidence interval for the population mean or a 95% confidence interval for the population mean. How will these intervals differ? (4 points)

Find a ⋅ b. a = 6i – 6j, b = 4i + 2j (5 points)

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

Is high blood LDL or blood HDL beneficial? Why?            

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)