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Approximate the area under the curve by evaluating the function at the left-hand endpoints of the subintervals. x) : 16 7 X2 from X :
Approximate the area under the curve by evaluating the function at the left-hand endpoints of the subintervals. x) : 16 7 X2 from X : 1 tox : 3', 4 suhintervals S Neeauelp? 5. [116.66 Points] HARMATHAP12 13.1.037. MV NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose the presence of phosphates in Certain waste products dumped into a lake promotes the growth of algae. Rampant growth of algae affects the oxygen supply in the water, so an environmental group wishes to estimate the area of algae growth. The group measures the length across the algae growth (see the figure) and obtains the data (in feet) In the table. x D 10 20 3D 40 Length 0 12 15 15 27 x 50 60 70 80 Length 24 21 20 0 Use 8 rectangles With bases of 10 feet and lengths measured at the left-hand endpoints to approximate the area of the algae growth. (Give an exact answer. Do not round.) Need Help? @ 6. [416.7 Points] HARMATHAP12 13.1.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The manufacturer of a medicine wants to test how a new 3007milligram capsule is released into the bloodstream. After a Volunteer is given a capsule, blood samples are drawn every halfehour, and the number of milligrams of the drug in the bloodstream is calculated. The results obtained are shown in the table. (Round your answers to one decimal place.) Time t (hr) N(t) (mg) Ti'me t (hr) N(t) (mg) 0 U 2.0 176.2 0.5 245.2 2.5 111.8 1.0 267.9 3.0 54.1 1.5 234.3 3.5 17.2 Use 7 rectangles, each With height N(t) at the left endpoint and with width 0.5 hr, to estimate the area under the graph representing these data. S Divide this area by 3.5 hr ti: estimate the average drug level over this time period. : mg Need Help
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