Barrons AP Calculus

(Marvins-Underground-K-12) #1
























(here   R   =   4   and r   =   sec x). Symmetry    allows  us  to  double  the volume
generated by the first-quadrant portion of S. We find the upper limit of
integration by solving sec x = 4 and store the result (x = 1.31811607) as
A. Then

(B) f(2)    =   6   ⇒ f(2.5)    =   f(2)    +   f   ′(2)(0.5)   =   6   +   (1.4)(0.5)  =   6.7 f(2.5)  =   6.7
⇒ f(3) = f(2.5) + f ′(2.5)(0.5) = 6.7 + (1.5)(0.5) = 7.45

(B) .   Hence   .

(C).

(B) The power   series  for ln  (1  −   x), if  

(B) Solve   by  separation  of  variables;  then

(C) Average Rate    of  Change:
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