1. The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F') and relative humidity h,. It is given by HI = – 42 + 2T + 10h, – 0.227Th, – 1.997T²h,?. a. If the air temperature in your area is 1070F with a relative humidity of 8%, how hot does your body feel?

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a. Compute the area of the piece to be cut. Round the answer to the nearest square millimeter. b. After cutting the piece, determine the percentage of the plate that will be wasted.

Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.

The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?

Can the average rate of change of a function be constant?

Use sin0=0, sin2=1, and sin=0 to estimate sin3.

Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?

A severe storm has an average peak wave height of u=16.4 feet for waves hitting the shore. Suppose that a reading of 38 waves showed an average weight height of x=16.9 feet. Previous studies of severe storms indicate that o=3.5 feet. Does this information suggest that the storm is increasing above the severe rating? Use a=0.01