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A manufacturer has been selling lamps at $6 apiece, and at this price, consumers have been buying 3,000 lamps per month. The manufacturer wishes to raise the price and estimates that for each $1 increase in price, 1,000 fewer lamps will be sold each month. The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamps to generate the greatest possible profit?
Suppose that 98% of your customers in your market have internet access and you select a random sample of 500 customers. What is the standard error of the proportion of customers who don't have internet access.
the well circulated air mixture is vented from the room at the same rate, find a formula for the percentage of carbon monoxide in the room at time t?
Consider the transformation w = (i - z) / (i + z) . Show that the upper half plane Im z > 0 maps to the disk |w|
Use cylindrical shells to find the volume V of the solid.
Write the formula for angle A in terms of the angels b and c. Also find a when b=20 and c =155 degrees.
Show that the mean value theorem applies or does not apply to the following. f(x)=sqrt(25-x^2), [-4,4]. State the conditions clearly, and, if appropriate, find the c guarenteed by the theorem.
Find the solution of the following equations: Use the Euler method with the step size shown to advance four steps from the given initial condition with the given differential equation:
Normal distribution with mean and variance
A family is canoeing downstream (with current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank.
Find all values of: tan^(-1) * (1 + i). The format for the final answer should be similar to this one:
Evaluate the area of the rectangle - Write a polynomial that represents the area.
Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
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