Questions from General Calculus

Q: (a). A company makes computer chips from square wafers of

(a). A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 15 mm and it wants to know how the area A (x) of a wafer changes when the s...

Q: Trace or copy the graph of the given function f. (

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of Example 1 to sketch the graph of f' below it.

Q: Trace or copy the graph of the given function f. (

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of Example 1 to sketch the graph of f' below it.

Q: Trace or copy the graph of the given function f. (

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of Example 1 to sketch the graph of f' below it.

Q: Trace or copy the graph of the given function f. (

Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of Example 1 to sketch the graph of f' below it.

Q: Suppose f'(x) = xe-x2. (

Suppose f'(x) = xe-x2. (a). On what interval is f increasing? On what interval is f decreasing? (b). Does f have a maximum value? Minimum value?

Q: Find the derivative of the function. y = r/

Find the derivative of the function. y = r/r2 + 1

Q: Shown is the graph of the population function P (t)

Shown is the graph of the population function P (t) for yeast cells in a laboratory culture. Use the method of Example 1 to graph the derivative P' (t). What does the graph of P' tell us about the yea...

Q: The graph of a function f is shown. Which graph is

The graph of a function f is shown. Which graph is an antiderivative of f and why?

Q: The graph of a function is shown in the figure. Make

The graph of a function is shown in the figure. Make a rough sketch of an antiderivative F, given that F (0) = 1.