Write the quadratic function in vertex form. (5 points) y = x2 – 2x + 5  

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b = 13 in. and d = 61 in. There are four No. 9 longitudinal tension bars and No. 3 stirrups at 6 in. o.c.

Write the expression in standard form. (5 points) 

Find the zeros of the polynomial function and state the multiplicity of each. (5 points)f(x) = 3(x + 9)2(x – 9)3  

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 26 in., b2 = 10 in., d1 = 8 in., d2 = 13 in., and that there are three No. 7 longitudinal tension bars and No. 3 stirrups at 12 in. o.c. The stirrup hooks are 90°.

There are 7 different types of entrepreneurs.

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. (5 points)7, -11, and 2 + 8i 

Find the exact value of the composition. (5 points) arctan[sin ]

A 115-mm-long beam supports a load of P = 26 N at midspan. The cross section is rectangular with width b = 30 mm and height h = 45 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

Convert 510° from degrees to radians. (5 points)