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A 9kg mass on a slope which is at an angle of 15 degrees is attached via a an inextensible string over a fixed, frictionless pulley to a 5kg mass. The 9kg mass is initially moving up the slope at a rate of 1.5 m/s. How far has the mass traveled when it comes to a stop and what will its velocity be when it has then slid back down the slope a distance of 3m?
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. Round your answers to four decimal places.
Relationship between the variables
Find the Euler's method to determine the first three approximations to the given initial value problem
Determine the probability distribution, and the cumulative probability distribution of car arrivals. Simulate 20 hours of car arrivals at Joe Kelly's oil change and tune-up place.
Develop a model to represent the total profit for selling x necklaces. How many necklaces will the student have to sell to break-even?
A printer is making a poster that will have a TOTAL AREA of 200 square inches and will have 1 inch margins on both sides, a 2 inch margin on the top and a 1.5 inch margin on the bottom.
Let f(x) = x^3, and compute the Riemann sum of f over the interval [6, 7], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)
What percentage of Americans earn below $20,000? What percenage of Americans earn above $ 43,000?
Permutation and combination
How do I go about solving and then graphing the following system?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
Data and Probability, 1. How many variations in first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the dine..
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