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Productivity and yield of cultivated crops are often reduced by insect pests. The following graph shows the relationship between the yield of a certain crop, f(x), as a function of the density of aphids x. (Aphids are small insects that suck plant juices.) Crop yield (kg/4000 m²) 1000+ 500- 0 300 500 300 150 T₁ T₂ 200 400 600 800 1000 1200 1400 1600 Aphids per beam stem x Here, f(x) is measured in kilograms per 4,000 square meters, and x is measured in hundreds of aphids per bean stem. By computing the slopes of the respective tangent lines, find the rate of change of the crop yield with respect to the density of aphids when that density is 200 aphids per bean stem and when it is 800 aphids per bean stem. 200 aphids per bean stem xkg per 4,000 m² per aphid per bean stem 800 aphids per bean stem xkg per 4,000 m² per aphid per bean stem

Productivity and yield of cultivated crops are often reduced by insect pests. The following graph shows the relationship between the yield of a certain crop, f(x), as a function of the density of aphids x. (Aphids are small insects that suck plant juices.) Crop yield (kg/4000 m²) 1000+ 500- 0 300 500 300 150 T₁ T₂ 200 400 600 800 1000 1200 1400 1600 Aphids per beam stem x Here, f(x) is measured in kilograms per 4,000 square meters, and x is measured in hundreds of aphids per bean stem. By computing the slopes of the respective tangent lines, find the rate of change of the crop yield with respect to the density of aphids when that density is 200 aphids per bean stem and when it is 800 aphids per bean stem. 200 aphids per bean stem xkg per 4,000 m² per aphid per bean stem 800 aphids per bean stem xkg per 4,000 m² per aphid per bean stem

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Productivity and yield of cultivated crops are often reduced by insect pests. The following graph shows the relationship between the yield of a certain crop, f(x), as a function of the density of aphids x. (Aphids are small insects that suck plant juices.) 1000- 300 ASSO 500 500 300 150 0 x 200 400 600 800 1000 1200 1400 1600 Aphids per beam stem Here, f(x) is measured in kilograms per 4,000 square meters, and x is measured in hundreds of aphids per bean stem. By computing the slopes of the respective tangent lines, find the rate of change of the crop yield with respect to the density of aphids when that density is 200 aphids per bean stem and when it is 800 aphids per bean stem. 200 aphids per bean stem X kg per 4,000 m² per aphid per bean stem 800 aphids per bean stem X kg per 4,000 m² per aphid per bean stem Crop yield (kg/4000 m²)
Transcribed Image Text:Productivity and yield of cultivated crops are often reduced by insect pests. The following graph shows the relationship between the yield of a certain crop, f(x), as a function of the density of aphids x. (Aphids are small insects that suck plant juices.) 1000- 300 ASSO 500 500 300 150 0 x 200 400 600 800 1000 1200 1400 1600 Aphids per beam stem Here, f(x) is measured in kilograms per 4,000 square meters, and x is measured in hundreds of aphids per bean stem. By computing the slopes of the respective tangent lines, find the rate of change of the crop yield with respect to the density of aphids when that density is 200 aphids per bean stem and when it is 800 aphids per bean stem. 200 aphids per bean stem X kg per 4,000 m² per aphid per bean stem 800 aphids per bean stem X kg per 4,000 m² per aphid per bean stem Crop yield (kg/4000 m²)
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