Questions from General Calculus

Q: The minute hand on a watch is 8 mm long and the

The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o’clock?

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 off on the given

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

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

Find the critical numbers of the function. f (x) = x3 + 3x2 - 24x

Q: A spotlight on the ground shines on a wall 12 m away

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreas...

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.

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: Suppose f (3) = 2, f'(3)

Suppose f (3) = 2, f'(3) = ½ and f'(x) > 0 and f"(x) < 0 for all x. (a). Sketch a possible graph for f. (b). How many solutions does the equation f (x) = 0 have? Why? (c). Is it possible that f'(2) =...

Q: If and are positive numbers, find the maximum value of f

If and are positive numbers, find the maximum value of f (x) = xa (1 – x) b, 0 < x < 1.