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For time, t, in hours, 0le tle1, a bug is crawling at a velocity, v, in meters/hour given by
v = frac{9}{6 + t}.
Use Delta t = 0.2 to estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.
a company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 60ft^3. what dimensions yield the minimum surface area?
Find the greatest common factor for the group of terms: -30a3, 5a5. Find the greatest common factor for these terms and explain how you arrived at your answer.
Sally has 5 red flags, 6 green flags, and 5 white flags. How many 16-flag signals can she run up a flag pole?
A pilot wants to maintain a course of 47 degree and a ground speed of 340 miles per hour against a wind from the north of 48 miles per hour.
application of the normal distribution let x denote the time taken to runner a road race. suppose x is approximately normally distributed with a mean of 195 minutes and a standard deviation of 21 minutes. if one runner is selected at random what i..
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
Design a rectangular milk carton box of width w, length l, and height h which holds 620 cm3 of milk. The sides of the box cost 3 cents/cm2 and the top and bottom cost 6 cents/cm2. Find the dimensions of the box that minimize the total cost of mate..
A medical screening program administers three independent physical fitness tests. Of the persons taking the test, 85% pass test I, 70% pass test II, and 50% pass test III. A participant is chosen at random.
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
Two carts A and B are connected by a rope 39 feet long that passes over pulley P. The point Q is on the floor directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/sec.
a survey of 24 college students 17 students were in math, 16 were in english and 10 were in both english and math. How many students were in math?
Suppose a diver leaps from the edge of an 80foot cliff. His initial upwards velocity is 8 feet per second. When will he hit the water?
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