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Extra info for Calculus: Early Transcendentals
F y y (a) discover a linear equation that versions the temperature T as a (_2, 2) functionality of the variety of chirps consistent with minute N. f (0, 1) (b) what's the slope of the graph? What does it symbolize? (c) If the crickets are chirping at one hundred fifty chirps in step with minute, esti- (4, 2) zero x mate the temperature. g zero x three (1, _2. five) sixteen. the chief of a furnishings manufacturing facility unearths that it charges $2200 nine. locate an expression for a cubic functionality f if f ͑1͒ 6 and to fabricate a hundred chairs in a single day and $4800 to provide f ͑Ϫ1͒ f ͑0͒ f ͑2͒ . zero three hundred chairs in a single day. 10. fresh reports point out that the typical floor tempera- (a) convey the price as a functionality of the variety of chairs ture of the earth has been emerging gradually. a few scientists produced, assuming that it really is linear. Then caricature the have modeled the temperature by means of the linear functionality graph. T zero. 02 t ϩ , eight. 50 the place T is temperature in ЊC and t repre- (b) what's the slope of the graph and what does it signify? sents years on the grounds that 1900. (c) what's the y-intercept of the graph and what does it (a) What do the slope and T-intercept characterize? signify? (b) Use the equation to foretell the typical worldwide floor temperature in 2100. 17. on the floor of the sea, the water strain is equal to eleven. If the urged grownup dosage for a drug is D (in mg), the air strain above the water, 15 lb͞in2. less than the outside, then to figure out the correct dosage c for a kid of the water strain raises through four. 34 lb͞in2 for each 10 toes of age a, pharmacists use the equation c zero. 0417 D͑ a ϩ 1 . ͒ descent. believe the dosage for an grownup is two hundred mg. (a) convey the water strain as a functionality of the intensity (a) locate the slope of the graph of . c What does it characterize? less than the sea floor. (b) what's the dosage for a infant? (b) At what intensity is the strain a hundred lb͞in2? 36 |||| bankruptcy 1 capabilities AND types 18. The per month fee of using a motor vehicle depends upon the variety of (b) locate and graph a linear version utilizing the 1st and final information miles pushed. Lynn discovered that during could it fee her $380 to force issues. 480 mi and in June it rate her $460 to force 800 mi. (c) locate and graph the least squares regression line. (a) show the per month rate C as a functionality of the space (d) Use the linear version partly (c) to estimate the ulcer expense pushed d, assuming linear courting offers a swimsuit- for an source of revenue of $25,000. capable version. (e) based on the version, how most likely is anyone with an (b) Use half (a) to foretell the price of using 1500 miles in keeping with source of revenue of $80,000 to be afflicted by peptic ulcers? month. (f) Do you think that it'd be average to use the version (c) Draw the graph of the linear functionality. What does the to a person with an source of revenue of $200,000? slope symbolize? (d) What does the y-intercept characterize? (e) Why does a linear functionality provide an appropriate version during this ; 22. Biologists have saw that the chirping cost of crickets of a undeniable species seems to be concerning temperature. The state of affairs?
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