Questions from General Calculus

Q: Find the points of intersection of the curves y = -x2

Find the points of intersection of the curves y = -x2 + x + 1 and y = x - 5.

Q: Relate to the function whose graph is sketched in Fig. 12

Relate to the function whose graph is sketched in Fig. 12. For what values of x is f (x) ≤ 0?

Q: Find the points of intersection of the pairs of curves in Exercises

Find the points of intersection of the pairs of curves in Exercises 31–38. y = ½ x3 + x2 + 5, y = 3x2 - 12x + 5

Q: Refer to the function f (r), which gives the cost

Refer to the function f (r), which gives the cost (in cents) of constructing a 100-cubic-inch cylinder of radius r inches. The graph of f (r) is shown in Fig. 16. For what value(s) of r is the cost 3...

Q: Find a good window setting for the graph of the function.

Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = 2x5 - 24x4 - 24x + 2

Q: The population of a city is estimated to be 750 + 25t

The population of a city is estimated to be 750 + 25t + .1t2 thousand people t years from the present. Ecologists estimate that the average level of carbon monoxide in the air above the city will be 1...

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: Let f (x) = x2 - 2x, g(

Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = √x. Find the following functions. f (x)h(x)

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

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