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A 16-lb object is attached to the ceiling by a frictionless spring and stretches the spring 6 inches before coming to its equilibrium position. Formulate the initial-value problem describing the motion of the object under each of the following sets of conditions. Set x equal to the downward displacement from equilbrium.
A support wire is attached to the top of a 150m radio tower. The wire is 190m long. Find the measure to the nearest degree of the angle the wire makes with the ground.
How far should its base set away from the building wall? Explain your answers and show your calculation. NOTE: You may need to apply the Pythagorean Theorem when solving this question.
the sides in cm of a triangle are x-y, 2into square root of xy and x+y respectively.show that the triangle is a right angled triangle and state the triangle law.
Using the equation from number 12, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
The business opened with a debt of $3400. After 3 years, it accumulated profit of $2700. Find the profit as a function of time t, knowing the profit function is linear.
At the beginning of an experiment, a scientist has 272 grams of radioactive goo. After 180 minutes, her sample has decayed to 17 grams.
Solving problems conditional probability
Find the directional derivative at the point P in the direction indicated.
A cup of coffee at 179 degrees is poured into a mug and left in a room at 66 degrees. After 7 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case)dT/dt=k(T-66).What is the t..
Gold temperatures. Gold stays solid at Fahrenheit temperatures below 1945.4°. Determine (in terms of an inequality) those Celsius temperatures for which gold stays solid.
Biased Bernoulli Process, Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55
Exactly one of the three contestants will win a game show. The probability that Terry wins 0.25 and the probability that Chris wins is 0.65. What is the probability that Toni wins?
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