Find the limit of the function algebraically. (6 points)

Find all polar coordinates of point P where P = . (5 points)

Find the center, vertices, and foci of the ellipse with equation 3×2 + 7y2 = 21. (5 points)

Use graphs and tables to find the limit and identify any vertical asymptotes of . (7 points)

Find the standard form of the equation of the parabola with a focus at (0, -8) and a directrix at y = 8. (5 points)

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)