If the disk is rotating very rapidly, the retardation is proportional to . Find after seconds if the initial amgular velocity was .

Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Questions 4 & 5, p. 158)

]]>Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Question 3, p. 158)

]]>

Answer:

Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Question 2, p. 158)

]]>Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Question 1, p. 158)

]]>Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Exercises, p. 158)

]]>Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Exercises, p. 159)

]]>Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Question 1, p. 159)

]]>Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Question 2, p. 159)

]]>Show that, if an epidemic is ‘simple’, the number of new cases of the disease recorded per unit time will be given by:

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 44: Question 7, p. 132)

]]>Here and are the initial concentrations of enzyme A and enzyme B respectively, while is a positive constant. If the initial concentrations, and , respectively, are 100 and 5 moles/litre, find the equation giving the concentration of enzyme B produced in the reaction after hours when the concentration of enzyme B produced in the first hour is 10 moles/litre.

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 44: Question 6, p. 132)

]]>