MATH 142 Midterm: MATH142 South Carolina 03Se3s
Document Summary
Math 104 final exam fall 2002: a scientist collects data that relate two variables, x and y. Instead of plotting y as a function of x, she plots log2 y as a function of log2 x, and gets a line whose slope is 3 and whose intercept on the vertical axis is 5. 4: the arc of the parabola y = x2/2 from (2,2) to (4,8) is rotated around the y-axis. Find the surface area of the resulting surface. A super-fast-growing bacteria reproduces so quickly that the rate of production of new bacteria is proportional to the square of the number already present. Write the di erential equation that describes the growth of the number of bacteria, and then give the general solution of this di erential equation. Suppose a sample of the bacteria from problem 5 (a) starts with 10 bacteria, and after 2 hours there are 20 bacteria.
