Posted by **Maria** on Tuesday, May 14, 2013 at 11:00am.

the productivity of a person at work (on a scale of 0-10) is modeled by a cosine function: 5cos (pie/2t) +5, where t is in hours. If the person starts work at t=0, being 8:00 am, at what times is the worker the least productive?

a) 12pm

B) 10 am and 2pm

C) 11 am and 3 pm

D) 10 am,12pm and 2 pm

MULTIPLE CHOICE

- calculus (gr 12) -
**Steve**, Tuesday, May 14, 2013 at 11:17am
cos has max at t=0

cos(pi/2 t) has period 4

cos has min at 1/2 the period.

so,

f(0) (8am) = 5*1+5 = 10

f(1) (9am) = 5*0+5 = 5

f(2) (10am) = 5*(-1) + 5 = 0

...

least productive at 10:00,14:00,...

(B)

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