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All Textbook Solutions for Precalculus: Mathematics for Calculus - 6th Edition

10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91E92E93E94E95E96EVolume of the Oceans The average ocean depth is 3.7 103 m, and the area of the oceans is 3.6 1014 m2. What is the total volume of the ocean in liters? (One cubic meter contains 1000 liters.)98ENumber of Molecules A sealed room in a hospital, measuring 5 m wide, 10 m long, and 3 m high, is filled with pure oxygen. One cubic meter contains 1000 L, and 22.4 L of any gas contains 6.02 1023 molecules (Avogadros number). How many molecules of oxygen are there in the room?100ESpeed of a Skidding Car Police use the formula s=30fd to estimate the speed s (in mi/h) at which a car is traveling if it skids d feet after the brakes are applied suddenly. The number f is the coefficient of friction of the road, which is a measure of the slipperiness of the road. The table gives some typical estimates for f. (a) If a car skids 65 ft on wet concrete, how fast was it moving when the brakes were applied? (b) If a car is traveling at 50 mi/h, how far will it skid on wet tar?Distance from the Earth to the Sun It follows from Keplers Third Law of planetary motion that the average distance from a planet to the sun (in meters) is d=(GM42)1/3T2/3 where M = 1.99 1030 kg is the mass of the sun, G = 6.67 1011 N m2/kg2 is the gravitational constant, and T is the period of the planets orbit (in seconds). Use the fact that the period of the earths orbit is about 365.25 days to find the distance from the earth to the sun.103E104E105E106E1ETo factor the trinomial x2 + 7x + 10, we look for two integers whose product is __________and whose sum is __________. These integers are __________and __________, so the trinomial factors as _______________The Special Product Formula for the square of a sum is (A + B)2 = _______________. So (2x + 3)2 = _______________.The Special Product Formula for the product of the sum and difference of terms is (A + B)(A B) = _______________. So (5 + x)(5 x) = _______________.5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107E108E109E110E111E112E113E114E115E116E117E118E119E120E121E122E123E124E125E126E127E128E129E130E131E132E133E134E135E136E137EWhich of the following are rational expressions? (a) 3xx21 (b) x+12x+3 (c) x(x21)x+3To simplify a rational expression, we cancel factors that are common to the __________ and __________. So the expression (x+1)(x+2)(x+3)(x+2) simplifies to __________.3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E