Find the zeros of the polynomial function and state the multiplicity of each. (5 points) f(x) = 3(x + 7)2(x – 7)3  

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 37 in., b2 = 12 in., d1 = 6 in., and d2 = 33 in. There are three No. 8 longitudinal tension bars and No. 4 stirrups at 10 in. o.c.

Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the function f). k = 2; f(x) = 2×3 + 4×2 + 2x – 4; Lower bound? (5 points)

No Eating or Drinking: Do not bring food and beverages to class. Food and beverages should NOT be consumed in the lab to prevent contamination of samples and equipment.

Find the zeros of the function. (5 points) f(x) = x2 + 9x + 20  

Researchers studying reinforced concrete have considered a mechanical explanation of Vs to be the Holy Grail.

Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the function f). k = 2; f(x) = 2×3 + 4×2 + 2x – 4; Lower bound? (5 points)

A nurse must understand the various CDC precautions or barrier techniques if they are to use them correctly and minimize infection risk to patients as well as to themselves. All of the following statements are true except:

A 125-mm-long beam supports a load of P = 48 N at midspan. The cross section is rectangular with width b = 29 mm and height h = 60 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

Find the exact value of cot-1(1). (5 points)