Questions from General Calculus

Q: The present value of y dollars after x years at 15%

The present value of y dollars after x years at 15% continuous interest is f (x, y) = ye-0.15x. Sketch some sample level curves. (Economists call this collection of level curves a discount system.)

Q: Match the graph of the function to the systems of level curves

Match the graph of the function to the systems of level curves shown in Figs. 8(a)–(d). Figure 8:

Q: Let f (x, y) = x√y/(

Let f (x, y) = x√y/(1 + x). Compute f (2, 9), f (5, 1), and f (0, 0).

Q: Let f (x, y, z) = x2ey/

Let f (x, y, z) = x2ey/z. Compute f (-1, 0, 1), f (1, 3, 3), and f (5, -2, 2).

Q: If A dollars are deposited in a bank at a 6%

If A dollars are deposited in a bank at a 6% continuous interest rate, the amount in the account after t years is f (A, t) = Ae0.06t. Find and interpret f (10, 11.5).

Q: Let f (x, y, λ) = xy +

Let f (x, y, λ) = xy + λ (5 - x - y). Find f (1, 2, 3).

Q: Give the radian measure of each angle described. /

Give the radian measure of each angle described.

Q: Give the radian measure of each angle described. /

Give the radian measure of each angle described.

Q: Give the radian measure of each angle described. /

Give the radian measure of each angle described.

Q: Give the radian measure of each angle described. /

Give the radian measure of each angle described.