Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Precalculus: Mathematics for Calculus - 6th Edition
74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91E92E93E94E95E96E97E98E99E100EPossible Rational Zeros List all possible rational zeros given by the Rational Zeros Theorem (but dont check to see which actually are zeros). 7. R(x) = 2x5 + 3x3 + 4x2 8102E103E104E105E106EPossible Rational Zeros A polynomial function P and its graph are given. (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. 13. P(x) = 2x4 9x3 + 9x2 + x 3Possible Rational Zeros A polynomial function P and its graph are given. (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. 14. P(x) = 4x4 x3 4x + 11E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E1E(a) If a is a zero of the polynomial P, then _________ must be a factor of P(x). (b) If a is a zero of multiplicity m of the polynomial P, then __________ must be a factor of P(x) when we factor P completely.A polynomial of degree n 1 has exactly ________ zeros if a zero of multiplicity m is counted m times.4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74EIf the rational function y = r(x) has the vertical asymptote x = 2, then as x 2+, either y _____ or y _____.If the rational function y = r(x) has the horizontal asymptote y = 2, then y _____ as x .3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83EDrug Concentration After a certain drug is injected into a patient, the concentration c of the drug in the bloodstream is monitored. At time t 0 (in minutes since the injection) the concentration (in mg/L) is given by c(t)=30tt2+2 (a) Draw a graph of the drug concentration. (b) What eventually happens to the concentration of drug in the bloodstream?Drug Concentration A drug is administered to a patient, and the concentration of the drug in the bloodstream is monitored. At time t 0 (in hours since giving the drug) the concentration (in mg/L) is given by c(t)=5tt2+1 Graph the function c with a graphing device. (a) What is the highest concentration of drug that is reached in the patients bloodstream? (b) What happens to the drug concentration after a long period of time? (c) How long does it take for the concentration to drop below 0.3 mg/L?Flight of a Rocket Suppose a rocket is fired upward from the surface of the earth with an initial velocity v (measured in meters per second). Then the maximum height h (in meters) reached by the rocket is given by the function h(v)=Rv22gRv2 where R = 6.4 106 m is the radius of the earth and g = 9.8 m/s2 is the acceleration due to gravity. Use a graphing device to draw a graph of the function h. (Note that h and v must both be positive, so the viewing rectangle need not contain negative values.) What does the vertical asymptote represent physically?The Doppler Effect As a train moves toward an observer (see the figure), the pitch of its whistle sounds higher to the observer than it would if the train were at rest, because the crests of the sound waves are compressed closer together. This phenomenon is called the Doppler effect. The observed pitch P is a function of the speed v of the train and is given by P(v)=P0(s0s0v) where P0 is the actual pitch of the whistle at the source and s0 = 332 m/s is the speed of sound in air. Suppose that a train has a whistle pitched at P0 = 440 Hz. Graph the function y = P(v) using a graphing device. How can the vertical asymptote of this function be interpreted physically?88E89E90E91E92E1RCC2RCC3RCC4RCC5RCC6RCC7RCC8RCC9RCC10RCC11RCC12RCC1RE2RE3RE4RE5RE