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A body of mass 3 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.B. Compute the magnitude of that force.
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
Find the derivative of y with respect to x. y = sec ^ -1 (x^2 + 1), x > 0
Hypothesis test for single mean
State the research and null hypotheses to test whether or not doctors in this HMO have less experience than the national average at alpha=0.05
Find out how many bacteria there will be at time t in the gremlin's bacteria dish (dn/dt = 3n; t=0 when n=10; t is measured in hours.) How many bacteria will there be after 5 hours?
Find a bijective conformal mapping that takes a bounded region to an unbounded region. Prove that a conformal map cannot take a simply connected region onto a region that is not simply connected.
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
Use the definition of the derivative to find f '(x) given Write an equation of the line tangent to the curve at the point P(-1, 7). Express the answer in the form ax + by = c.
Odds and probability, A casino states that the house odds (note: house odds are the odds that the gambler will lose) for a certain game are 23 to 2.
Justings Co. owned 80% of Evana Corp. During 2006, Justings sold to Evana land with a book value of $48,000. The selling price was $70,000.
If an open box has a square base and a volume of 96 in. and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
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