Questions from General Calculus

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: Refer to the cost function in Fig. 18.

Refer to the cost function in Fig. 18. If 500 units of goods are produced, estimate the cost of producing 100 more units of goods?

Q: Solve the equations in Exercises 39–44. x2 -

Solve the equations in Exercises 39–44. x2 - 8x + 16 / 1 + √x = 0

Q: Refer to the profit function in Fig. 19.

Refer to the profit function in Fig. 19. The point (2500, 52,500) is the highest point on the graph of the function. What does this say in terms of profit versus quantity?

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(h(x))

Q: Refer to the profit function in Fig. 19.

Refer to the profit function in Fig. 19. The point (1500, 42,500) is on the graph of the function. Restate this fact in terms of the function P(x).