Questions from General Calculus

Q: Suppose that $7000 is deposited in a savings account that pays

Suppose that $7000 is deposited in a savings account that pays a rate of interest r per annum, compounded annually, for 20 years. (a) Express the account balance A(r) as a function of r. (b) Calculate...

Q: Exercises 43–46 relate to Fig. 13. When a

Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time ela...

Q: Let f (x) = x6, g(x)

Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. g (f (x))

Q: Let f (x) = x3 +1 /x.

Let f (x) = x3 +1 /x. Evaluate f (1), f (3), f (-1), f (- 12), and f (√2).

Q: Suppose that the cable television company’s cost function in Example 4 changes

Suppose that the cable television company’s cost function in Example 4 changes to C(x) = 275 + 12x. Determine the new breakeven points.

Q: Let f (x) = 2x + 3x2. Evaluate f

Let f (x) = 2x + 3x2. Evaluate f (0), f (- 1/4), and f (1/√2).

Q: Let f (x) = x2 - 2. Evaluate f

Let f (x) = x2 - 2. Evaluate f (a - 2).

Q: Graph the following equations. y = 3

Graph the following equations. y = 3

Q: Let f (x) = [1/(x + 1

Let f (x) = [1/(x + 1)] - x2. Evaluate f (a + 1).

Q: Determine the domains of the following functions. f (x

Determine the domains of the following functions. f (x) = 1 / x(x + 3)