Questions from General Calculus

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. h(g(x))

Q: The revenue R(x) (in thousands of dollars)

The revenue R(x) (in thousands of dollars) that a company receives from the sale of x thousand units is given by R(x) = 5x - x2. The sales level x is in turn a function f (d) of the number d of dollar...

Q: Use the laws of exponents to simplify the algebraic expressions.

Use the laws of exponents to simplify the algebraic expressions. (√(x + 1))4

Q: Use the laws of exponents to simplify the algebraic expressions.

Use the laws of exponents to simplify the algebraic expressions. xy3 / x-5y6

Q: Use the laws of exponents to simplify the algebraic expressions.

Use the laws of exponents to simplify the algebraic expressions. x3/2/ √x

Q: Use the laws of exponents to simplify the algebraic expressions.

Use the laws of exponents to simplify the algebraic expressions. 3√x (8x2/3)

Q: Suppose that $15,000 is deposited in a savings account

Suppose that $15,000 is deposited in a savings account that pays 4% per annum, compounded monthly, for t years. (a) Express the account balance A(t) as a function of t, the number of years that the pr...

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

Suppose that $7000 is deposited in a savings account that pays 9% per annum, compounded biannually, for t years. (a) Express the account balance A(t) as a function of t, the number of years that the p...

Q: Suppose that $15,000 is deposited in a savings account

Suppose that $15,000 is deposited in a savings account that pays a rate of interest r per annum, compounded annually, for 10 years. (a) Express the account balance A(r) as a function of r. (b) Calcula...

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...