Deaths from heart disease: Tables A and B show the deaths per 100,000 caused by heart disease in the United States for males and females aged 55 to 64 years. The function Hm gives deaths per 100,000...

Deaths from heart disease: Tables A and B show the deaths per 100,000 caused by heart disease in the United States for males and females aged 55 to 64 years. The function Hm gives deaths per 100,000 for males, and Hf gives deaths per 100,000 for females.

a. Approximate the value of dHm dt in 1980 using the average rate of change from 1980 to 1985.

b. Explain the meaning in practical terms of the number you calculated in part a. You should, among other things, tell what the sign means.

c. Use your answer from part a to estimate the heart disease death rate for males aged 55 to 64 years in 1983.

d. Approximate the value of dHf dt for 1980 using the average rate of change from 1980 to 1985.

e. Explain what your calculations from parts a and d tell you about comparing heart disease deaths for men and women in 1980.