Questions from General Calculus

Q: (a). Sketch the graph of a function on [-1

(a). Sketch the graph of a function on [-1, 2] that has an absolute maximum but no absolute minimum. (b). Sketch the graph of a function on [-1, 2] that is discontinuous but has both an absolute maxim...

Q: A formula for the derivative of a function f is given.

A formula for the derivative of a function f is given. How many critical numbers does f have?

Q: A man starts walking north at 4 ft/s from a

A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after...

Q: Find the absolute maximum and absolute minimum values off on the given

Find the absolute maximum and absolute minimum values off on the given interval.

Q: Use the methods of this section to sketch the curve y =

Use the methods of this section to sketch the curve y = x3 – 3a2x + 2a3, where a is a positive constant. What do the members of this family of curves have in common? How do they differ from each other...

Q: (a). Use a graph of f to estimate the maximum

(a). Use a graph of f to estimate the maximum and minimum values. Then find the exact values. (b). Estimate the value of x at which f increases most rapidly. Then find the exact value.

Q: (a). Use a graph of f to estimate the maximum

(a). Use a graph of f to estimate the maximum and minimum values. Then find the exact values. (b). Estimate the value of x at which f increases most rapidly. Then find the exact value.

Q: (a). Find the intervals on which f is increasing or

(a). Find the intervals on which f is increasing or decreasing. (b). Find the local maximum and minimum values of f. (c). Find the intervals of concavity and the inflection points. f (x) = sin x + cos...

Q: At noon, ship A is 150 km west of ship B

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM? (a). What quantities...

Q: (a). Find the intervals on which f is increasing or

(a). Find the intervals on which f is increasing or decreasing. (b). Find the local maximum and minimum values of f. (c). Find the intervals of concavity and the inflection points. f (x) = x2 lnx