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Ecologists estimated that when population of a city is x thousand persons, the average level carbon monoxide in the air above the city will be L ppm(parts per million) where L=10+0.4x+0.0001x^2 . The population of the city is estimated to be x=752+23t+0.5t^2 thousand persons t years from the present.
a) Find the rate of change of carbon monoxide with respect to the population in the cityb) Find the rate of change of the population with respect to the time t.c) Find the rate of change of carbon monoxide with respect to the time t.
Boris races his bicycle for 264 feet . A wheel of his bicycle turns 44 times as the bicycle travels this distance. What is the diameter of the wheel?
A rectangle plaque 1.5 cm thick is made of two kinds of metal. The central rectangle has an area of 24cm squared and costs 10 cents/cm cubed. The 1-cm border on the sides and the 2-cm border at the top and bottom cost 5 cents/cm cubed. What shape ..
how much work is done in pulling the bucket to the top of the well.
when a circular plate of metal is heated, its radius increases at a rate of 0.02cm/min. at what rate is the plate's area increasing when the radius is 52 cm?
To determine the number of deer in a game preserve, a person catches 479 deer, tags then and lets them loose. Later, 561 deer are caught; 187 of them are tagged. How many deer are in the preserve?
Two cars start moving from the same point. one travels south at 30 mi/h and the other travels west at 70 mi/h. At what rate is the distance between the cars increasing 2 hours later?
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected. Find the probabilities that the sample contains the following
How do you write a system of linear equations in two variables? Explain this in words and by using mathematical notation in an equation.
A rancher has 1200m of fencing to enclose 2 rectangular corrals. The corrals have the same dimensions and one side in common. What dimensions will maximize the enclosed area?
Why is it important to understand linear equations in business? In particular can you provide examples where the relationship between items that can be affected by management and 'items' that management wished to achieve or attain may be 'linear'?
A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 324 feet of fencing and does not fence the side along the street, what is the max area that can be enclosed?
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
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