81. During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 + tcos 80 where t is the time in hours since the start of the rainfall and R(t) is measured in centimeters per hour. Ho much did the depth of water in the rain gauge increase from t = 0 to t = 3 hours? (A) 1.233 cm (В) 1.466 ст (С) 1.966 ст (D) 5.401 cm

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
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#81 AP Calculus AB question attached.

81. During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 + tcos
80
where t is the time in hours since the start of the rainfall and R(t) is measured in centimeters per hour. How
much did the depth of water in the rain gauge increase from t 0 to t = 3 hours?
(A) 1.233 cm
(B) 1.466 cm
(C) 1.966 cm
(D) 5.401 cm
Transcribed Image Text:81. During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 + tcos 80 where t is the time in hours since the start of the rainfall and R(t) is measured in centimeters per hour. How much did the depth of water in the rain gauge increase from t 0 to t = 3 hours? (A) 1.233 cm (B) 1.466 cm (C) 1.966 cm (D) 5.401 cm
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