Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 5 and 625, respectively. (5 points)

Determine As,min for the following beam given that f’c = 5,750 psi and fy = 60,000 psi.

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)