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You say goodbye to your friend at the intersection of two perpendicular roads. At time t=0 you drive off North at a (constant) speed v and your friend drives West at a (constant) speed w. You badly want to know: how fast is the distance between you and your friend increasing at time t? SECOND CASE: Suppose that after your friend takes off (at time t = 0) you linger for an hour to contemplate the spot on which he or she was standing. After that hour you drive off too (to the North). How fast is the distance between you and your friend increasing at time t (greater than one hour)?
What are the domain and range of f-1? What is the value of f-1(2)? Estimate the value of f-1(1) to the nearest tenth.
Use this information to answer Questions 8 - 10 below. A laboratory has a sample of vanadium-48, which decays at a daily rate of 4.247%. One morning, a technician determines that the sample contains 52.18 grams of vanadium-48.
show that the construction given in the text for constructing a square equal to the difference of 2 squares is correct.
Rework problem 11 from section 1.3 of your text, involving high school students. Assume that 26 take mathematics, 26 take psychology, and 13 take mathematics and psychology.
a sky diver jumping from a plane at a height of 5,000 feet. He will fall 16 feet in the first second. Thereafter, until the parachute opens, the distance fallen during each second will be 32 feet more than the distance fallen during the previous s..
the distance from base to base, home plate included, on a baseball field is 90 ft. the bases form a square. what is the area?
A tank initially contains 46 gal of brine, in which 15 lb of salt is dissolved. Brine containing 2 lb of dissolved salt per gallon flows into the tank at the rate of 5 gal/min, and the well-stirred mixture flows out of the tank at the same rate. H..
What is the number in cell A3? Use mental math to find the sum of each row, column, and diagonal. What did you discover about all of the sums?
airplane b takes off 60 min. After airplane a and heads in the same direction. If airplane a travels with a constant velocity of 735mph and airplane b travels with a constant velocity of 1070mph, in how many hours will airplane b catch up to airpl..
explain the difference between the results in part a and part b.
Based on exponential growth function how long will it take the world population to reach exactly 7 billion? How about 10 billion? Based on the population how long before it will reach 400 million? and 500 million?
What is the percentage error for a measured volume of 350 ml if the actual volume was 310ml =?
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