Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 9 (5 points)

The decay of 601 mg of an isotope is described by the function A(t)= 601e-0.019t, where t is time in years. Find the amount left after 34 years. Round your answer to the nearest mg. Show all of your work for full credit. (5 points)

Find the inverse of the function. f(x) = x3 – 7 (5 points)

Determine the domain of the function. (5 points)

At a point subjected to plane stress, the stresses are σx = 70 MPa, σy = –60 MPa, and τxy = 10 MPa. Determine the angle θp corresponding to the orientation of the principal planes at the point.

Obesity is a common, serious, and costly chronic disease of adults and children that continues to increase in the United States. Which of the following is NOT included in the CDC on Division of Nutrition, Physical activity and obesity data?

In a mechanical splice, the force in one bar is transferred to the concrete, which transfers it to the adjacent bar.

Use the graph of f to estimate the local maximum and local minimum. (5 points)

A concrete floor system with a ratio of the longer to the shorter span length that is greater than or equal to 2 is usually considered a one-way system.

A simply-supported beam has a 2 kip/ft uniformly-distributed load over the entire 8-ft span. What is the magnitude of the maximum shear force in the beam?