Questions from General Calculus

Q: The number N of locations of a popular coffeehouse chain is given

The number N of locations of a popular coffeehouse chain is given in the table. (The numbers of locations as of June 30 are given.) (a). Find the average rate of growth (i). from 2005 to 2007 (ii)....

Q: The cost (in dollars) of producing units of a certain

The cost (in dollars) of producing units of a certain commodity is C (x) = 5000 + 100x + 0.05x. (a) Find the average rate of change of C with respect to when the production level is changed (b). Fin...

Q: If a cylindrical tank holds 100,000 gallons of water,

If a cylindrical tank holds 100,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli’s Law gives the volume V of water remaining in the...

Q: Show by means of an example that limx→a [f

Show by means of an example that limx→a [f (x) + g (x)] may exist even though neither limx→a f (x) nor limx→a g (x) exists.

Q: Show by means of an example that limx→a [f

Show by means of an example that limx→a [f (x) + g (x)] may exist even though neither limx→a f (x) nor limx→a g (x) exists.

Q: Let T (t) be the temperature (in 0F)

Let T (t) be the temperature (in 0F) in Baltimore t hours after midnight on Sept. 26, 2007. The table shows values of this function recorded every two hours. What is the meaning of T' (10)? Estimate i...

Q: If and are continuous functions with f (3) = 5

If and are continuous functions with f (3) = 5 and limx→3 [2 f (x) – g (x)] = 4, find g (3).

Q: By the end behavior of a function we mean the behavior of

By the end behavior of a function we mean the behavior of its values as x →∞ and as x →-∞. (a). Describe and compare the end behavior of the functions P (x) = 3x5 – 5x3 + 2x Q (x) 3x5 by graphing both...

Q: The quantity of oxygen that can dissolve in water depends on the

The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So thermal pollution influences the oxygen content of water.) The graph shows how oxygen solubility varies a...

Q: Make a rough sketch of the curve y = xn (n

Make a rough sketch of the curve y = xn (n an integer) for the following five cases: Then use these sketches to find the following limits.