A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 in. It is reinforced with 2 No. 5 bars on the compression side and 5 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. For the results given below, determine the strength Mn for this beam.a = 6.767 in. (depth of concrete stress block)Cc = 200.0 kips (compressive force in concrete)Cs = 37.0 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)

Express the complex number in trigonometric form. -5i (5 points)

Find a ⋅ b. a = 7i – 4j, b = 4i + 3j (5 points)

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

Express the complex number in trigonometric form. 5 – 5i (5 points)

Find an equation for the nth term of the arithmetic sequence. a15 = -53, a16 = -5 (7 points)

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. B = 46°, a = 12, b = 11 (5 points)

Solve the triangle. A = 54°, b = 11, c = 8 (5 points)

Express the complex number in trigonometric form. 5 – 5i (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)