Questions from General Calculus

Q: Consider the rectangular box in Exercise 3, and suppose that it

Consider the rectangular box in Exercise 3, and suppose that it has no top. Write an expression for the volume. Write an equation expressing the fact that the surface area is 65 square inches.

Q: Let f (x) = x / x - 2,

Let f (x) = x / x - 2, g(x) = 5 – x / 5 + x, and h(x) = x + 1 / 3x - 1. Express the following as rational functions. f (x) / g(x)

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

Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (-8y9)2/3

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

Relate to the function whose graph is sketched in Fig. 12. Find f (2) and f (-1).

Q: In Exercises 47–50, find the zeros of the function

In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = x3 - 3x + 2; [-3, 3] [-10, 10]

Q: Consider the closed rectangular box in Exercise 4. Write an expression

Consider the closed rectangular box in Exercise 4. Write an expression for the surface area. Write an equation expressing the fact that the volume is 10 cubic feet.

Q: Consider the cylinder of Exercise 5. Write an equation expressing the

Consider the cylinder of Exercise 5. Write an equation expressing the fact that the volume is 100 cubic inches. Suppose that the material to construct the left end costs $5 per square inch, the materi...

Q: Let f (x) = x2 - 2x + 4,

Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. g(f (x))

Q: Consider the cylinder of Exercise 6. Write an equation expressing the

Consider the cylinder of Exercise 6. Write an equation expressing the fact that the surface area is 30Ï€ square inches. Write an expression for the volume.

Q: Consider a rectangular corral with a partition down the middle, as

Consider a rectangular corral with a partition down the middle, as shown in Fig. 14. Assign letters to the outside dimensions of the corral. Write an equation expressing the fact that 5000 feet of fen...