Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Precalculus: Mathematics for Calculus - 6th Edition
46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105ETemperature Scales What interval on the Celsius scale corresponds to the temperature range 50 F 95?107EInternational Plans A phone service provider offers two international plans. Plan A: S25 per month and 5 per minute Plan B: S5 per month and 12 per minute For what range of minutes of international calls would Plan B be financially advantageous?Driving Cost It is estimated that the annual cost of driving a certain new car is given by the formula C=0.35m+2200 where m represents the number of miles driven per year and C is the cost in dollars. Jane has purchased such a car and decides to budget between 6400 and 7100 for next years driving costs. What is the corresponding range of miles that she can drive her new car?Air Temperature As dry air moves upward, it expands and, in so doing, cools at a rate of about 1C for each 100-m rise, up to about 12 km. (a) If the ground temperature is 20C, write a formula for the temperature at height h. (b) What range of temperatures can be expected if a plane takes off and reaches a maximum height of 5 km?Airline Ticket Price A charter airline finds that on its Saturday flights from Philadelphia to London all 120 seats will be sold if the ticket price is S200. However, for each 3 increase in ticket price, the number of seats sold decreases by one. (a) Find a formula for the number of seats sold if the ticket price is P dollars. (b) Over a certain period the number of seats sold for this flight ranged between 90 and 115. What was the corresponding range of ticket prices?Accuracy of a Scale A coffee merchant sells a customer 3 lb of Hawaiian Kona at 6.50 per pound. The merchants scale is accurate to within 0.03 lb. By how much could the customer have been overcharged or undercharged because of possible inaccuracy in the scale?113EBonfire Temperature In the vicinity of a bonfire the temperature T in C at a distance of x meters from the center of the fire was given by T=600,000x2+300 At what range of distances from the fires center was the temperature less than 500C?Falling Ball Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 128 ft high, then its height h above the ground t seconds later will be h=128+16t16t2 During what lime interval will the ball be at least 32 ft above the ground?Gas Mileage The gas mileage g (measured in mi/gal) for a particular vehicle, driven at v mi/h. is given by the formula g = 10 + 0.9v 0.01v2, as long as v is between 10 mi/h and 75 mi/h. For what range of speeds is the vehicles mileage 30 mi/gal or better?Stopping Distance For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d=v+v220 where d is measured in feet. Kerry wants her stopping distance not to exceed 240 ft. At what range of speeds can she travel?118EFencing a Garden A determined gardener has 120 ft of deer-resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 800 ft2. What range of values is possible for the length of her garden?Thickness of a Laminate A company manufactures industrial laminates (thin nylon-based sheets) of thickness 0.020 in., with a tolerance of 0.003 in. (a) Find an inequality involving absolute values that describes the range of possible thickness for the laminate. (b) Solve the inequality you found in part (a).Range of Height The average height of adult males is 68.2 in., and 95% of adult males have height h that satisfies the inequality |h68.22.9|2 Solve the inequality to find the range of heights.122E123E124EThe point that is 3 units to the right of the y-axis and 5 units below the x-axis has coordinates (_____, _____).2EThe point midway between (a, b) and (c, d) is __________. So the point midway between (1, 2) and (7, 10) is __________.4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107E108E109E110E111E112EDistances in a City A city has streets that run north and south and avenues that run east and west, all equally spaced. Streets and avenues are numbered sequentially, as shown in the figure. The walking distance between points A and B is 7 blocksthat is, 3 blocks east and 4 blocks north. To find the straight-line distance d, we must use the Distance Formula. (a) Find the straight-line distance (in blocks) between A and B. (b) Find the walking distance and the straight-line distance between the corner of 4th St. and 2nd Ave. and the corner of 11th St. and 26th Ave. (c) What must be true about the points P and Q if the walking distance between P and Q equals the straight-line distance between P and Q?Halfway Point Two friends live in the city described in Exercise 122, one at the corner of 3rd St. and 7th Ave., the other at the corner of 27th St. and 17th Ave. They frequently meet at a coffee shop halfway between their homes. (a) At what intersection is the coffee shop located? (b) How far must each of them walk to get to the coffee shop? 122. Distances in a City A city has streets that run north and south and avenues that run east and west, all equally spaced. Streets and avenues are numbered sequentially, as shown in the figure. The walking distance between points A and B is 7 blocksthat is, 3 blocks east and 4 blocks north. To find the straight-line distance d, we must use the Distance Formula. (a) Find the straight-line distance (in blocks) between A and B. (b) Find the walking distance and the straight-line distance between the corner of 4th St. and 2nd Ave. and the corner of 11th St. and 26th Ave. (c) What must be true about the points P and Q if the walking distance between P and Q equals the straight-line distance between P and Q?Orbit of a Satellite A satellite is in orbit around the moon. A coordinate plane containing the orbit is set up with the center of the moon at the origin, as shown in the graph, with distances measured in megameters (Mm). The equation of the satellites orbit is (x3)225+y216=1 (a) From the graph, determine the closest and the farthest that the satellite gets to the center of the moon. (b) There are two points in the orbit with y-coordinates 2. Find the x-coordinates of these points, and determine their distances to the center of the moon.116E117E118E119E120E121E122E1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77EWe find the steepness, or slope, of a line passing through two points by dividing the difference in the _____-coordinates of these points by the difference in the _____-coordinates. So the line passing through the points (0, 1) and (2, 5) has slope _____.2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E