Q: A point is moving along the graph of x3y2 = 200.
A point is moving along the graph of x3y2 = 200. When the point is at (2, 5), its x-coordinate is changing at the rate of -4 units per minute. How fast is the y-coordinate changing at that moment?
See AnswerQ: Suppose that the price p (in dollars) and the weekly
Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 2p3 + x2 = 4500. Determine the rate at which sales are changing...
See AnswerQ: Suppose that the price p (in dollars) and the weekly
Suppose that the price p (in dollars) and the weekly demand, x (in thousands of units) of a commodity satisfy the demand equation 6p + x + xp = 94. How fast is the demand changing at a time when x =...
See AnswerQ: Find the point(s) on the graph of y =
Find the point(s) on the graph of y = (2x4 + 1)(x - 5) where the slope is 1.
See AnswerQ: The monthly advertising revenue, A, and the monthly circulation,
The monthly advertising revenue, A, and the monthly circulation, x, of a magazine are related approximately by the equation A = 6 √(x2 – 400), x ≥ 20, where A is given in thousands of dollars and x...
See AnswerQ: Determine the growth constant k, then find all solutions of the
Determine the growth constant k, then find all solutions of the given differential equation. y' – y/2 = 0
See AnswerQ: Suppose that in Boston the wholesale price, p, of oranges
Suppose that in Boston the wholesale price, p, of oranges (in dollars per crate) and the daily supply, x (in thousands of crates), are related by the equation px + 7x + 8p = 328. If there are 4 thousa...
See AnswerQ: Figure 7 shows a 10-foot ladder leaning against a wall
Figure 7 shows a 10-foot ladder leaning against a wall. (a) Use the Pythagorean theorem to find an equation relating x and y. (b) If the foot of the ladder is being pulled along the ground at the rate...
See AnswerQ: An airplane flying 390 feet per second at an altitude of 5000
An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observer. Figure 8 shows the relationship of the airplane to the observer at a later time. (a) Find an equation...
See AnswerQ: A baseball diamond is a 90-foot by 90-foot
A baseball diamond is a 90-foot by 90-foot square. (See Fig. 9.) A player runs from first to second base at the speed of 22 feet per second. How fast is the player’s distance from th...
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