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You attend a Karaoke night and hope to hear you favorite song. There are 300 different songs in the karaoke (and your favorite is among the 300). Assuming the singers are equally likely to pick any song and no song is repeated, what is the probability that your song is one of the 20 that you hear that night.
a 3kg mass with an initial velocity of 5.00i m/s collides with a sticks to 2.00 kg mass with a initial velocity of -3.00m/s find the final velocity of the composite mass.
The area of a trapezoid is 780 cm. The shorter base is 48 cm and the height is 15 cm. Find the length of the other base.
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.
Explain the importance of Euclid's parallel postulate in the development of hyperbolic and spherical geometry.
Show that the limit of x(t) as x-> infinity is finite, i.e., the boat will travel a finite amount of distance after its motor quits. What is the maximum distance the boat will travel after its motor quits?
To two decimal places, what is the value of the positive root in the auxiliary equation?
Estimate the population after many months - for example many years into the future.
The region under the curve y = 3 tan2x from 0 to π/4 is rotated about the x-axis. Find the volume of the resulting solid. (in fraction form)
at the instant when the water is 5 m deep find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 m/hr.
What is the principle of powers? Describe in your own words. When solving a radical equation, how do we use the principle of powers to eliminate radicals? Demonstrate with an example.
Was the class effective? Use the alpha=.10 level of significance. Use the classical method to solve.
The length of a rectangle is increasing at a rate of 2 ft. per second, while the width is increasing at a rate of 1 ft. per second. When the length is 4 ft. and the width is 5 ft., how fast, in square feet per second, is the area increasing?
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