Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ (5 points)

A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in., and d = 27.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 2,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.268 in., determine the strain in the compression reinforcement, ε’s.

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

In reviewing for the final exam, what have you discovered are the parts of the course about which you feel most confident? That is, what topics do you understand the best? Why?

Define Osmosis. 

(05.01 MC) Mateo is baking a ham. He must make sure the ham has a minimum internal temperature of 145 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the ham in four random places. The minimum temperature in the sample is 150 degrees. Identify the population and the sample. (4 points)

Find an equation for the nth term of the sequence. -1, -4, -16, -64, … (7 points)  

Is the function  even, odd, or neither?

The position of an object at time t is given by s(t) = 6 – 14t. Find the instantaneous velocity at t = 6 by finding the derivative. (5 points)

A beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 9,100 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.