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1. A 16 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how fast will the foot be moving away from the wall when the top is 11 feet above the ground?
The foot will be moving at ft/s.?
2. Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 5.5 mi2/hr. How rapidly is radius of the spill increasing when the area is 11 mi2?
3. A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 9 cm. (Note the answer is a positive number).
4. Water is leaking out of an inverted conical tank at a rate of 0.0112 m3/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 0.25 m/min when the height of the water is 1 meters, find the rate at which water is being pumped into the tank.
A student has an assignment to cut three size of cardboards: x=3 inches, y=5 inches, and z=9 inches. He must have 25 pieces of x, 20 pieces of y, and 15 pieces of z. The bookstore sells only one size of cardboard which is 17 inches. What is the mi..
The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?
For how many years will the field be contaminated? (Round your answer to the nearest tenth.)
Barbara invested $150 at a certain rate of interest compounded anually for two years. If the accumulated value at the end of two years is $175, find the rate of interest.
Ten percent of all undergraduates at a university are chemistry majors. In a random sample of nine students, find the probability that exactly two are chemistry majors. (Round your answer to 4 decimal places.)
The cost, in millions of dollars, to remove x % of pollution in a lake modeled by
Starbucks cashiers take thousands of orders each day. Samples of the accuracy in the orders are listed below. One hundred orders taken by each cashier were carefully examined and the number of errors counted.
how much money do they need to invest now to reach their goal?
A total of 261 tickets were sold for the school play. The number of student tickets sold was twotimes the number of adult tickets sold .
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum.
dolly has just opened a registered education fund for her daughter lolly. she wants to contribute 3000 at the beginning
A cup of coffee at 173 degrees is poured into a mug and left in a room at 65 degrees. After 4 minutes, the coffee is 142 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) .
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