Questions from General Calculus

Q: Suppose that the total revenue function for a manufacturer is R(

Suppose that the total revenue function for a manufacturer is R(x) = 300 ln(x + 1), so the sale of x units of a product brings in about R(x) dollars. Suppose also that the total cost of producing x un...

Q: Find the maximum area of a rectangle in the first quadrant with

Find the maximum area of a rectangle in the first quadrant with one corner at the origin, an opposite corner on the graph of y = -ln x, and two sides on the coordinate axes.

Q: Human hands covered with cotton fabrics impregnated with the insect repellent DEPA

Human hands covered with cotton fabrics impregnated with the insect repellent DEPA were inserted for 5 minutes into a test chamber containing 200 female mosquitoes. The function f (x) = 26.48 - 14.09...

Q: Differentiate the following functions. y = 3 ln x +

Differentiate the following functions. y = 3 ln x + ln 2

Q: Differentiate the following functions. y = ln x / ln

Differentiate the following functions. y = ln x / ln 3

Q: Differentiate the following functions. y = (x2 ln x

Differentiate the following functions. y = (x2 ln x) / 2

Q: Simplify the following expressions. ln 2 - ln x +

Simplify the following expressions. ln 2 - ln x + ln 3

Q: Figure 5 shows the graph of y = 10x / (1

Figure 5 shows the graph of y = 10x / (1 + .25x2) for x ≥ 0. Find the coordinates of the maximum point. Figure 5:

Q: The following function may be viewed as a composite function h (

The following function may be viewed as a composite function h (x) = f ( g (x)). Find f (x) and g (x). h(x) = (4x - 3)3 + 1/4x - 3

Q: Simplify the following expressions. e2 ln x

Simplify the following expressions. e2 ln x