Barrons AP Calculus

(c)

(a)

(b)

Approximate sin     using   each    of  the four    polynomials.

BC  ONLY

SOLUTIONS:

The derivatives of  the sine    function    at  0   are given   by  the following   table:

From    the table   we  know    that

Figure  N10–3a  shows   the graphs  of  sin x   and the four    polynomials.    In  Figure

N10–3b  we  see graphs  only    of  sin x   and P 7 (x),    to  exhibit how closely P 7

“follows”   the sine    curve.

Figure  N10–3a