Questions from General Calculus

Q: Show that the probability density function for a normally distributed random variable

Show that the probability density function for a normally distributed random variable has inflection points at /

Q: For any normal distribution, find the probability that the random variable

For any normal distribution, find the probability that the random variable lies within two standard deviations of the mean.

Q: The hydrogen atom is composed of one proton in the nucleus and

The hydrogen atom is composed of one proton in the nucleus and one electron, which moves about the nucleus. In the quantum theory of atomic structure, it is assumed that the electron does not move in...

Q: Let p and q be real numbers with p < q.

Let p and q be real numbers with p

Q: The marginal cost function C9sxd was defined to be the derivative of

The marginal cost function C9sxd was defined to be the derivative of the cost function. The marginal cost of producing x gallons of orange juice is (measured in dollars per gallon). The fixed start-up...

Q: A company estimates that the marginal revenue (in dollars per unit

A company estimates that the marginal revenue (in dollars per unit) realized by selling x units of a product is 48 - 0.0012x. Assuming the estimate is accurate, find the increase in revenue if sales i...

Q: A mining company estimates that the marginal cost of extracting x tons

A mining company estimates that the marginal cost of extracting x tons of copper ore from a mine is 0.6 + 0.008x, measured in thousands of dollars per ton. Start-up costs are $100,000. What is the cos...

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 pS(x) for a commodity gives the

The supply function pS(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 pro...

Q: If a supply curve is modeled by the equation p = 125

If a supply curve is modeled by the equation p = 125 + 0.002x2, find the producer surplus when the selling price is $625.