Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points) f(x) = and g(x) = 6x – 4

Collectively, the renal and respiratory systems comprise the chemical buffering system of the body.

Find the inverse of the function. f(x) = 7x + 8 (5 points)

Compute φVn for the cross section shown. Assume f’c = 4,000 psi, fyt = 40,000 psi, d = 22 in., w = 16.5 in., t = 4 in., and that there are four No. 8 longitudinal tension bars and No. 3 stirrups at 6 in. o.c.

A patient’s lab results include a TSH of 11 mIU/L (normal 0.4 to 4.0 MIU/L) and free T4 equals 4 ng/dL (normal 10 to 27 ng/dL). Which diagnosis do these lab results indicate?

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b = 16 in. and d = 35 in. There are four No. 7 longitudinal tension bars and No. 5 stirrups at 12 in. o.c.

One of the four primary reasons for using compression reinforcement in beams is increased ductility.

A continuous beam’s flexural reinforcement must extend at least _____ from the point where it is no longer needed to resist tension. Assume f’c = 4,000 psi, fyt = 40,000 psi, b = 13 in., d = 17 in., and that there are four No. 7 longitudinal tension bars and No. 3 stirrups at 7 in. o.c. The stirrup hooks are 135°.

A simply-supported beam has a 1 kip/ft uniformly-distributed load over the left half of its 11-ft span. What is the magnitude of the maximum shear force in the beam?

If φVc = 50 kip and Vu = 58 kip, are stirrups required?