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At what rate must the string be let out when the length of the string already let out is 50 meters? (Ans: 2.4 m/sec) 8. An icicle is in the shape of a right circular cone. At a certain point in time the height is 15cm 1 and is increasing at the rate of 1cm/hr; the radius is 2cm and decreasing at the rate 10 cm/hr. Is 1 the volume (V = 3 r2 h) increasing or decreasing at this instant? At what rate?
Comparing the 2 solution can you determine whether the fist system of equations is ill-conditioned or not?? Explain why it is ill-conditioned??
A person who weighs 180 pounds on Earth weighs 30 pounds on the Moon. What is the weight of a person on the Moon who weighs 240 pounds on Earth?
The Tempcontrol company has a container that reduces the temperature of a liquid from 200 f to 110 f in 25 minutes by maintaining a constant temperature of 60 F.
Let C be the Cantor set defined C=intersection sign on top inf bottom n=0 C_n.Define g:[0,1]->R by g(x)={1 if x belong to C and 0 if x does not belong to C. a-show that g fails to be continuous at any point c belong to C.
State the key features (vertex, focus, directrix, direction of opening, and axis of symmetry) of each parabola, and sketch the graph.
a chemist needs 130 milliliters of a 68% solution but only has 33% and 98% solutions available. find how many milliliters of each that should be mixed to get the desired solution.
Suppose you have a cookie stand, and when you charge $3 per cookie box you sell 250 boxes. But when you raise your price to $5 you only sell 120 boxes.
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Car A and Car B leave the origin at noon. Car A travels north at 264 mph and car B travels east at 448 mph.
one card is selected at random from a standard deck of 52 playing cards, what is the probability that the card is an even-numbered card.
A bag contains 16 red marbles and 10 blue marbles. If two marbles are chosen at random, what is the probability of getting two red marbles?
A gun has a muzzle speed of 50 meters per second. What angle of elevation should be used to hit an object 170 meters away? Neglect air resistance and use g = 9.8 m / sec^{2} as the acceleration of gravity.
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