Questions from General Calculus

Q: Let f (x) = xe-x if x >

Let f (x) = xe-x if x > 0 and f (x) = 0 for if x < 0. (a). Verify that is a probability density function. (b). Find P (1 < X < 2).

Q: A demand curve is given by p = 450/ (x

A demand curve is given by p = 450/ (x + 8). Find the consumer surplus when the selling price is $10.

Q: The supply function px (x) for a commodity gives the

The supply function px (x) for a commodity gives the relation between the selling price and the number of units that manufacturers will produce at that price. For a higher price, manufacturers will pr...

Q: The trouble with the error estimates is that it is often very

The trouble with the error estimates is that it is often very difficult to compute four derivatives and obtain a good upper bound K for |f (4)(x) | by hand. But computer algebra systems have no proble...

Q: If a supply curve is modeled by the equation p = 200

If a supply curve is modeled by the equation p = 200 + 0.2x3/2, find the producer surplus when the selling price is $400.

Q: For a given commodity and pure competition, the number of units

For a given commodity and pure competition, the number of units produced and the price per unit are determined as the coordinates of the point of intersection of the supply and demand curves. Given th...

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Q: Show that the median waiting time for a phone call to the

Show that the median waiting time for a phone call to the company described in Example 4 is about 3.5 minutes.

Q: (a). A type of lightbulb is labeled as having an

(a). A type of lightbulb is labeled as having an average lifetime of 1000 hours. It’s reasonable to model the probability of failure of these bulbs by an exponential density function with mean µ = 100...

Q: The manager of a fast-food restaurant determines that the average

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 2.5 minutes. (a). Find the probability that a customer has to wait more than 4 minutes. (...