Questions from General Calculus

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: For each of the numbers a, b, c, d

For each of the numbers a, b, c, d, r, and s, state whether the function whose graph is shown has an absolute maximum or minimum, a local maximum or minimum, or neither a maximum nor a minimum.

Q: The figure shows a beam of length L embedded in concrete walls

The figure shows a beam of length L embedded in concrete walls. If a constant load W is distributed evenly along its length, the beam takes the shape of the deflection curve where E and I are positive...

Q: Coulomb’s Law states that the force of attraction between two charged particles

Coulomb’s Law states that the force of attraction between two charged particles is directly proportional to the product of the charges and inversely proportional to the square of the...

Q: (a). Use a graph of f to give a rough

(a). Use a graph of f to give a rough estimate of the intervals of concavity and the coordinates of the points of inflection. (b). Use a graph of f" to give better estimates.

Q: A drug response curve describes the level of medication in the bloodstream

A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge function S (t) = Atp e-kt is often used to model the response curve, reflecting an init...

Q: The family of bell-shaped curves occurs in probability and statistics

The family of bell-shaped curves occurs in probability and statistics, where it is called the normal density function. The constant µ is called the mean and the positive constant Ï&#...

Q: f (x) = x√x - x2 (

f (x) = x√x - x2 (a). Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places. (b). Use calculus to find the exact maximum and minimum values.

Q: A baseball diamond is a square with side 90 ft. A

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24 ft/s. (a). At what rate is his distance from second base decreasing when he is ha...

Q: The graph of the first derivative f' of a function f is

The graph of the first derivative f' of a function f is shown. (a). On what intervals is f increasing? Explain. (b). At what values of x does f have a local maximum or minimum? Explain. (c). On what...