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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?
Why is Human Resource Management Important? What should the role and responsibility of human resources be in developing a company's mission, objectives, and strategies?
can you assist with the answers to question 1234 and 5 related to quantitative methods. question 1 deals with
Make a position-vs.-time graph of that trip.
When you try to find the average of your grade by the end of the year do you add up all four quarter grades then divide by four? If so then what does that number have to be after you are done dividing?
A plane flies at a average speed of 300 miles per hour. The expression 300t gives the distance traveled by the plane in t hours. find the distance traveled by the plane in 8 hours.
Estimate the relative error in the calculated surface area.
Discuss one (1) project where you used a problem-solving approach to address what turned out to be common-cause variation, or where you used a process improvement approach to deal with a special cause. Describe the experience in the project
Kelly Fisher has a total of $30,000 invested in two municipal bonds that have yields of 8% and 10% interest per year, respectively. If the interest Kelly receives from the bonds in a year is $2640, how much does she have invested in each bond?
What is the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn?
Does it appear to be true that (on the average in the long run) stock price growth parallels earnings growth?
Mean and Variance and Error Probability, Binary data are transmitted over a noisy communications channel in block of 16 binary digits
On what dates of April, 2001 did Wednesday fall?
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