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1. The demand and cost functions for a product are p(x) = 130 - 0.01x and C(x) = 30x + 1100, where x is the number of units produced weekly. If the manufacturer decides to increase production by 70 units per week, find the rate at which profit is changing with respect to time when the weekly production is 3600 units.
2. A rocket travels vertically at a speed of 500 km/hr. The rocket is tracked through a telescope by an observer located 18 km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off.
3. A boat is pulled in to a dock by a rope with one end attached to the front of the boat and the other end passing through a ring attached to the dock at a point 6 ft higher than the front of the boat. The rope is being pulled through the ring at the rate of 0.4 ft/sec. How fast is the boat approaching the dock when 10 ft of rope is out?
find the limit of the sequence {an} = 3n^2+1/n^2-2. also, does the sequence converge or diverge and why? does the series converge or diverge and why?
A certain population has a mean of 488 and a standard deviation of 31. Many samples of size 51 are randomly selected and the means calculated.
The number of women who use a computer at work in Elbonia can be modeled by the equation y = 8,793x + 18,001, where x is the number of years from now. How many Elbonian women will be using a computer at work 10 years from now if this trend continues?
What process do you use to solve a system of linear inequalities? How do you know where to shade and whether the lines should be dotted or solid?
In S(5) let pi=(245)(1354)(125). Write pi as a product of disjoint cycles and then answer the following questions. Determine pi^2, pi^5, pi^(-1).
Using the shell method to find the volume of a solid revolving about line x = 2 by the region bounded by y=x^3 +x +1, y=1 and x=1.
Internet is a great resource for many topics including Algebra, there are several links that present information, tutorials, animations and applications related to Algebra. Please do an Internet field trip and find one resource that relates to Alg..
Rhonda received her social security check for 1275 she spent 1/3 on rent and 3/5 of the remaining amount on utilities food and transportation. How much does she have left?
In a large U.S. city a study was conducted to determine the typical commute time from home to the work place. The data was normally distributed with a mean commute time of 19 minutes and a standard deviation of 4.5 minutes. What is the probability..
A compact disc can have an angular speed up to 3142 radians per minute. At this angular speed, how many revolutions per minute would the CD make? How long would it take the CD to make 10,000 revolutions?
Find an equation of the tangent plane to the surface z = ex^2-y^2, at the point(1, -1, 1). Determine whether the function is a solution of Laplaces equation uxx uyy =0. u= ln(x2 - y2) + 2 tan-l(y/x).
Analyzing the communications/PR/media strategy of Donal Trump as a national level political candidate and evaluate his campaign. Analyzing his strength and weakness and how to minimize the weakness while maximize the strength. If your are his media c..
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