Ch 6, 7 Trig Review Assignment Answers

# 1 x tan xd d 2 2 rad 4 rad d 2rev rad dt min min

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1 x tan xd d   2 2 rad 4 rad d 2rev rad dt min min 60sec 15 s 1 1 d d d tan x d d x dt dt dt       2 2 d d sec x 1d d dt dt   1 d d x dt but d = 300 is a constant 2 d 1 dx sec dt d dt 2 2 dx d d dsec 300sec dt dt dt y 2 2 dx 100 10 10 10 300 300 300 dt 300 15 3 15 9 15 2 2 y 300 100 dx 200 m 4000 m dt 9 s 3 min 2 2 y 100 3 1 100 10 d=300 x 300 100

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9. The tides in the Bay of Fundy may be modelled by the function H 8sin t 6 , where H is the height in meters at a time ,t, in hours. (At t = 0, H = 0) a) What is the water height after 3 hours? b) How fast is the water rising after 1 hour? a) H 8sin t 6 at t = 3,     H 8sin 3 8sin 8 1 8m. 6 2 b) H 8sin t 6 dH d 8 8cos t t 8cos t cos t dt 6 dt 6 6 6 6 6      t 1 dH 8 4 3 cos 1 dt 6 6 3 2 t 1 dH 2 3 m dt 3 hr

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