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Find any critical numbers for the function f(x)=(x+6)^10 and then use the second derivative test to decide whether the critical numbers lead to relative maxima or relative minima. If the second derivative test gives no information, use the first derivative test instead.
Basic probability problems
A manufacturer estimates that if x units of a particular commodity are produced, the total cost will be C(x) dollars, where
A particle is moving along the curve y=42x+5 . As the particle passes through the point (212), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Use integer programming to establish whole numbers for the solution variables.
Until recently, with the advent of cellular phones, modems, and pagers, the area codes in the United States and Canada followed a certain system
The actual weight of soap powder in a box has a normal distribution, with a mean of 33 oz. and a standard deviation of 0.7 oz. What proportion of packets are underweight (i.e., weigh less than 32 oz.)?
The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane. Give your answers correct to one decimal place.
An airline estimates that 98% of people booked on their flights actually show up. If the airline books 76 people on a flight for which the maximum number is 74, what is the probability that not enough seats will be available on the plane? Round an..
Calculate the average rate of change of the given function over the general interval. f(x) = 1/x; [6,10]
jim writes down the numbers from 1 to 100. ben puts a red spot on all the even numbers and heen puts a blue spot on all
LetR be the region bounded by the graph of f(x)=3x^2+6x and g(x)=18x-5x^2. Determine the area of R
A table shows number of tickets and ticket cost, describe the pattern. How does the cost per ticket change as you buy more tickets?
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