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

Use basic identities to simplify the expression. sin2θ + tan2θ + cos2θ (6 points)

Perform the requested operation or operations. f(x) = ; g(x) = 7x + 8, find g(f(x)). (5 points)

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 – 12 (5 points)

Describe how to transform the graph of f into the graph of g. (5 points) f(x) = and g(x) =

State the horizontal asymptote of the rational function. (5 points)f(x) =  

Where there are several layers of reinforcement, a continuous horizontal opening large enough for the concrete vibrator to pass through should be provided.

Find the exact value of the real number y. y = csc-1(1) (5 points)

A 124-mm-long beam supports a load of P = 48 N at midspan. The cross section is rectangular with width b = 25 mm and height h = 40 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

Brittle materials fail due to maximum shear stress rather than principal stresses.