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A body with mass 250g is attached to the end of a spring that is stretched 25cm by a force of 9N. At time t = 0 the body is pulled 1m to the right, stretching the spring, and set in motion with an initial velocity of 5m/s to the left.
(a) Find x(t) in the form C cos(ω0t - a).
(b) Find the amplitude and period of motion of the body.
Pages in a book are numbered in typical fashion, starting with 1. The folio for page 10 will contain the tenth and eleventh digits necessary to paginate the book. On what page will the 2009th digit occur?
a string is cut to fit snugly around the earths equator then 1 meter is added to its length. If the string in now wrapped around the equator so that it is the same distance from the surface all the way around, how high above of the surface of the ..
the bestever credit scores are normally distributed with a mean of 600 and a standard deviation of 100.1. what is the
3. Entrepreneur of a product estimates that when q units of his items produced every month, the average total profit (in thousand RM) is P ¯(q)= -1.125q+45-200/q. Find the company's maximum profit.
Find which of the infinite series converge and which diverge and you mix the vessels thoroughly so that each vessel contains a mixture of oil and vinegar. This caper is then repeated any number of times.
project overviewin this final part of your project you will cover step 4 of the statistical analysis process -
Put a ring around the equator. Now, cut it, enlarge it by 6 feet, and put it back. How far out from the earth will it be? (The Earth's radius is 4000 miles.) a) a negligible amount. b) a ladybug might be able to crawl underneath the ring.
Determine the coordinates (tm, ym) of the maximum point of the solution as function of β. Determine the smallest value of β for which ym ≥4. Determine the behaviour of tm and ym as β→∞
Sixty feet of fence is needed to enclose a rectangular dog pen. The length od the pen is 3 more than twice the width of the pen. What are the dimensions of the pen?
Anthony invested a sum of money 3 years ago in a savings account that has since paid interest at the rate of 8%/year compounded quarterly. His investment is now worth $30,437.80. How much did he originally invest?
Which number is compatible to use as a dividend with 7?
The half-life of radioactive radium is 1620 years. Suppose that a sample of this substance has 300 mg. Determine the time T it will take for the sample to decay to a mass of 200 mg.
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