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A tunnel is in the shape of a parabola. The maximum height is 16 m and it is 16 m wide at the base, as shown below.   What is the vertical clearance 7 m from the edge of the tunnel? (5 points)

Given that P = (-5, 5) and Q = (-13, 6), find the component form and magnitude of 2 . (5 points)

The general recommended amount of sleep an 18-25 year old should get is? 

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 20 and 2500, respectively. (5 points)

Let u = , v = . Find -3u + 5v. (5 points)

Find the center, vertices, and foci of the ellipse with equation 4×2 + 9y2 = 36. (5 points)

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

Find the first six terms of the sequence. a1 = -2, an = 3 • an-1 (5 points)

Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (5 points)

(04.03 MC)  A person has a 30 percent chance of winning on a scratch-off lottery ticket. What is the probability she first wins of the fifth ticket? (4 points)