A satellite is to be put into an elliptical orbit around a moon as shown below. The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km. (5 points)

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 10 No. 8 bars at a depth of 20 in. The top row contains 7 No. 5 bars at a depth of 16 in. Determine the effective (centroidal) depth, d, of the steel.

Find the standard form of the equation of the parabola with a focus at (0, 4) and a directrix at y = -4. (5 points)

Adjacent span loading is the common loading pattern for determining maximum negative moments at supports due to live load.

Solve the triangle. B = 36°, a = 42, c = 18 (5 points)

Find an explicit rule for the nth term of the sequence. 3, -12, 48, -192, … (5 points)  

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

Determine β1 given that f’c = 9,100 psi.

Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 . (5 points)

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -54, 27, , …   (5 points)