Questions from General Calculus

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: 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...

Q: Consider a rectangular corral with two partitions, as in Fig.

Consider a rectangular corral with two partitions, as in Fig. 15. Assign letters to the outside dimensions of the corral. Write an equation expressing the fact that the corral has a total area of 2500...

Q: Consider the corral of Exercise 16. If the fencing for the

Consider the corral of Exercise 16. If the fencing for the boundary of the corral costs $10 per foot and the fencing for the inner partitions costs $8 per foot, write an expression for the total cost...

Q: Cost of an Open Box Consider the rectangular box of Exercise 3

Cost of an Open Box Consider the rectangular box of Exercise 3. Assume that the box has no top, the material needed to construct the base costs $5 per square foot, and the material needed to construct...

Q: If the rectangle in Exercise 1 has a perimeter of 40 cm

If the rectangle in Exercise 1 has a perimeter of 40 cm, find the area of the rectangle. Rectangle in Exercise 1:

Q: Decide which curves are graphs of functions. /

Decide which curves are graphs of functions.

Q: If the cylinder in Exercise 6 has a volume of 54p cubic

If the cylinder in Exercise 6 has a volume of 54p cubic inches, find the surface area of the cylinder. Cylinder in Exercise 6:

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. h(s) / f (s)