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A factory begins emitting particulate matter into the atmosphere at 8 am each workday, with the emissions continuing until 4 pm. The level of pollutants, P(t), measured by a monitoring station ½ mile away is approximated as follows, where t represents the number of hours since 8 am:
75t + 100 if 0 is less than or equal to t and less than or equal to 4
400 if 4 is less than t or less than 8
P(t) = -100t + 1200 if 8 is less than or equal to t or less than or equal to 10
-50/7 t + 1900/7 if 10 less than t or less than 24
Find the level of pollution at
(a) 9am (b) 11am
(c) 5pm (d) 7pm
(e) midnight (f) Graph y = P(t)
(g) From the graph in part (f), at what time(s) is the pollution level highest? Lowest?
Find the cost function for the give marginal cost and specified fixed cost: dC/dx = 90x + 700. At x = 0 the fixed cost is C(0) = $5500.
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Find the remainder when x^3+2x^2+5 is divided by x+2. Find the equation of the line passing through the point (2,-4) and having a slope of -3. Give your answer in slope-intercept form, y=mx+b
Create a class Polynomial and a corresponding test class that is used to evaluate a polynomial function of x: P(x) = a0 + a1 * x + a2 * x ** 2 + ......+an * x ** n; ai is coefficient i, and x ** n means x to the power of n
What is the average weekly change in your running time?
To solve the quartic equation, one of the approaches is to seek squares on both sides. For example, to find x, in ax^4+bx^2+cx=d.
solving systems of equations by
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Find the union of two sets.
A thermometer reading 79 degrees F is brought into a cold storage room with a constant temperature of 38 degrees F. if the thermometer reads 70 degrees in 6minutes, how long will it take to read 58 degrees F.
Write an equation for the number of boxes you sell as a function of the price you charge. Denote "B" for number of boxes, and "P" for the price you charge.
Sketch the given region R and then find its area: R is the region bounded by the lines y = x, y = -x, and x = 1. R is the region bounded by the x axis and the curve.
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