By Bill L Briggs, Lyle Cochran, Bernard Gillett
This a lot expected moment version of the main winning new calculus textual content released within the final 20 years keeps the simplest of the 1st variation whereas introducing vital advances and refinements. Authors Briggs, Cochran, and Gillett construct from a starting place of meticulously crafted workout units, then draw scholars into the narrative via writing that displays the voice of the trainer, examples which are stepped out and thoughtfully annotated, and figures which are designed to coach instead of easily complement the narrative. The authors entice scholars’ geometric instinct to introduce primary options, laying a beginning for the improvement that follows.
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Extra resources for Calculus: Early Transcendentals (2nd Edition)
A cylindrical water tower with a radius of 10 m and a height of 50 m is filled to a height of h. The volume V of water (in cubic meters) is given by the function g1h2 = 100ph. 28. F 1y42 1 x2 + 3 10 22. A stone is dropped off a bridge from a height of 20 m above a river. If t represents the elapsed time (in seconds) after the stone is released, then its distance d (in meters) above the river is approximated by the function f 1t2 = 20 - 5t 2. 26. f 1p22 50. 1 f ∘ g21x2 = 55. Composite functions from graphs Use the graphs of f and g in the figure to determine the following function values.
Check that d102 = 100, as specified. b. At what time is the tank empty? c. What is an appropriate domain for d? 95–101. Combining even and odd functions Let E be an even function and O be an odd function. Determine the symmetry, if any, of the following functions. E#O 96. 99. E ∘ E 100. O ∘ O 97. 1 2 3 4 f 1x2 2 -1 3 -4 -3 -1 -4 -2 g1x2 a. f 1g1- 122 d. f 1g1- 222 g. f 1g1g1-2222 b. g1 f 1-422 e. g1g1-122 h. g1 f 1 f 1-4222 c. f 1g1-322 f. f 1g102 - 12 i. g1g1g1-1222 a. f 1g1- 222 d. g1 f 152 - 82 b.
15. Demand function Sales records indicate that if Blu-ray players are priced at $250, then a large store sells an average of 12 units per day. If they are priced at $200, then the store sells an average of 15 units per day. Find and graph the linear demand function for Blu-ray sales. For what prices is the demand function defined? 16. Fundraiser The Biology Club plans to have a fundraiser for which $8 tickets will be sold. The cost of room rental and refreshments is $175. Find and graph the function p = f 1n2 that gives the profit from the fundraiser when n tickets are sold.