Questions from General Calculus

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

Find the critical numbers of the function. f (x) = 4 + 1/3 x – 1/2 x2

Q: A television camera is positioned 4000 ft from the base of a

A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, th...

Q: Use the graph to state the absolute and local maximum and minimum

Use the graph to state the absolute and local maximum and minimum values of the function.

Q: B (x) = 3x2/3 - x (

B (x) = 3x2/3 - x (a). Find the intervals of increase or decrease. (b). Find the local maximum and minimum values. (c). Find the intervals of concavity and the inflection points. (d). Use the informat...

Q: A lighthouse is located on a small island 3 km away from

A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the sho...

Q: A plane flies horizontally at an altitude of 5km and passes directly

A plane flies horizontally at an altitude of 5km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing at a rate of π/6 rad/min. How...

Q: The length of a rectangle is increasing at a rate of 8

The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 20 cm and the width is 10 cm, how fast is the area of the rectangle incr...

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) = x4 - 2x2 +...

Q: A Ferris wheel with a radius of 10m is rotating at a

A Ferris wheel with a radius of 10m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when his seat is 16 m above ground level?

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.