Solve the triangle. A = 52°, b = 10, c = 7 (5 points)

Solve the triangle. A = 19°, C = 102°, c = 6 (5 points)

The position of an object at time t is given by s(t) = -9 – 5t. Find the instantaneous velocity at t = 4 by finding the derivative. (5 points)

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -18, 3, , …  (7 points)

A beam has dimensions of b = 20 in., h = 10 in., and d = 7.5 in. and is reinforced with 5 No. 9 bars. The concrete strength is 5,300 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.242 in., does the reinforcement yield?

The determination of whether a reinforced concrete floor system is classified as a one-way or two-way system is based on the ratio of the span lengths for the floor slab in the two principal vertical directions.

Determine As,min for the following beam given that f’c = 4,000 psi and fy = 60,000 psi.

Use the given graph to determine the limit, if it exists.   Find and . (5 points)

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 6 No. 6 bars at a depth of 20 in. The top row contains 4 No. 8 bars at a depth of 14 in. Determine the effective (centroidal) depth, d, of the steel.

(05.01 LC)  Samuel, a quality assurance inspector at a donut factory, checks for product quality using a random sample of 7 donuts from a batch of 38, with 14 cake donuts and 24 glazed donuts. Let p̂ be the proportion of cake donuts in the sample. Part A: Is the 10% condition met in this case? Justify your answer. (5 points) Part B: Is the Normal condition met in this case? Justify your answer. (5 points) (10 points)