Questions from General Calculus

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) = cos2 x – 2...

Q: Use a graph to estimate the critical numbers of f (x

Use a graph to estimate the critical numbers of f (x) = |x3 – 3x2 + 2| correct to one decimal place.

Q: f (x) = x5 - x3 + 2, -

f (x) = x5 - x3 + 2, -1 < x < 1 (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 valu...

Q: f (x) = ex3-x, -1 <

f (x) = ex3-x, -1 < x < 0 (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). 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) = (ln x)/√x

Q: An object with weight W is dragged along a horizontal plane by

An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle θ with the plane, then the magnitude of the f...

Q: A model for the US average price of a pound of white

A model for the US average price of a pound of white sugar from 1993 to 2003 is given by the function where is measured in years since August of 1993. Estimate the times when sugar was cheapest and mo...

Q: Find the critical numbers of the function. g (x

Find the critical numbers of the function. g (x) = x1/3 – x-2/3

Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval.

Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval.