Barrons AP Calculus

(Marvins-Underground-K-12) #1
























the position     y(t)   =   4t  −   4.  When    t   =   0,  x(0)    =   −2, y(0)    =   −4.

(D)

(B) We  want    the accumulated number  of  people  to  be  100:

20 h^2 +    10 h    −   100 =   0
10(2h + 5)(h − 2) = 0
This occurs at h = 2 hours after 8 A.M.

(C) Average velocity    =   

(A) Average volume  =   

(B) The number  of  new people  who hear    the rumor   during  the second
week is

Be  careful with    the units!  The answer  is  the total   change, of  course, in
F(t) from t = 7 to t = 14 days, where F′(t) = t^2 + 10 t.

(B) Total   gallons =   
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