Find the indicated limit, if it exists. (7 points) 

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)