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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.
Jen's pension is an annuity with a guaranteed return of 5% interest/year compounded monthly. She can afford to put $300/month into the fund, and she will work for 45 years before retiring. If her pension is then paid out monthly based on a 20-..
Find the demand function , where is the number of the spectators
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
find the statistic that measures the width of dispersion (looseness or tightness) of the population data about its mean .
On Friday, a local hamburger shop sold a combined total of 416 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
base to base is a manufacturer of baseball caps that have various team logos in an assortment of designs and colors.
Write a formula for the velocity of the object as a function of time t. What should be the velocity of the object when it reaches its highest point? What is the maximum height reached by the object?
An electronics manufacturer has two brands that they wish to release into the market, the Xtreme Sound Radio and the You-Play CD System. Suppose that the quantities of each brand produced by the manufacture are labelled x and y respectively, and the ..
the height of a trapezoid of constant area varies inversly as the sum of the lengths of the bases. If the height is 30 cm when the lengths of the two bases are 3 cm and 16 cm, what is the new height if the bases are 24 cm and 48 cm in length?
determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described.
The thermal conductivity of a bar of length L=2 and cross section area A=2 is K(x)=1, and the heat source is given by f(x)=0.5x(L-x). If both ends of the bar are maintained at zero degree, what is the steady-state temperature distribution in the bar?..
Find the hydrostatic pressure on the bottom of the aquarium. Find the hydrostatic force on the bottom of the aquarium. Find the hydrostatic force on one end of the aquarium.
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