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Using the tables, find the Laplace Transforms:
(a) f(t) = 2 -t^3/6+ cos(2t) - e^(3t)
(b) f(t) = (t + 1)^2
A card is selected from a standard deck of 52 playing cards. Find the probability of selecting 1. a prime number under 10 given the card is red. (1 is not prime.)
Calculate the unpaid balance on debt after 5 years of monthly payments on $160,000 @3% for 25 years.
A jar contains a number of marbles of which 58 are pink, 78 are green, and the rest are blue. If the probability of choosing a blue marble from this jar at random is 1/5, how many blue marbles are in the jar.
If this sides of a square are lengthened by 5cm, the area becomes 100cm^2. What is the length of an original side?
A plane inclined at an angle of 45° passes through a diameter of the base of a cylinder of radius r = 2. Find the volume of the region within the cylinder and under the plane pictured below.
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
The bucket is filled with 45 pounds of water and is pulled up at a rate of 1.9 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well. Your answ..
Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card
A ball is thrown straight down from the top of a 350 foot building with an initial velocity of -20 feet per second. What is the instantaneous velocity after falling 85 feet?
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
if q is the number of quarts of lemonade, then 1/4 q can be used to fine the number of cups of lemonade mix needed to make the lemonade. how much mix is need to make each amount of lemonade ?
Express your answer as an inequality and explain how you arrived at your answer.
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