The demand for nurses in the US between 2000 and 2015 is estimated to be: D(t) = 0.7t² + 0.265t + 2000 thousand where 0

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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The demand for nurses in the US between 2000 and 2015 is estimated to be:
D(t) = 0.7ť² + 0.265t + 2000 thousand
where 0 <t < 15, and t = 0 corresponds to year 2000.
The number of nurses in the US between 2000 and 2015 is estimated to be:
S(t) = 0.14ť² + 0.326t + 1900 thousand
where 0 <t < 15, and t = 0 corresponds to year 2000.
f) Find and interpret D' (8). Make sure to state the correct units.
g) Find and interpret S' (8). Make sure to state the correct units.
h) Let q(t) = S(t)/D(t). Find and interpret q'(8). (You do not need to find q'(t) for general t)
i) In marginal analysis, you would use q' (8) to estimate what quantity? Find the exact value of that quantity
and compare with q'(8).
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Transcribed Image Text:The demand for nurses in the US between 2000 and 2015 is estimated to be: D(t) = 0.7ť² + 0.265t + 2000 thousand where 0 <t < 15, and t = 0 corresponds to year 2000. The number of nurses in the US between 2000 and 2015 is estimated to be: S(t) = 0.14ť² + 0.326t + 1900 thousand where 0 <t < 15, and t = 0 corresponds to year 2000. f) Find and interpret D' (8). Make sure to state the correct units. g) Find and interpret S' (8). Make sure to state the correct units. h) Let q(t) = S(t)/D(t). Find and interpret q'(8). (You do not need to find q'(t) for general t) i) In marginal analysis, you would use q' (8) to estimate what quantity? Find the exact value of that quantity and compare with q'(8). O Type here to search AI F1 F2 F3 F4 F5 F6 Home End F7 F8 F9 F10 F11 F12 Insert 2 4 5 7 8 Q W T Y U P F G H J K L Z X C V B N M Alt Alt PrtSc Ctrl
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