Barrons AP Calculus

(Marvins-Underground-K-12) #1
91.

92.

1.

2.

3.

4.

5.

(C) Since   f ′(6)  =   4,  the equation    of  the tangent at  (6, 30) is  y   −   30  =   4(x −
6). Therefore f (x) 4 x + 6 and f (6.02) 30.08.

(C)

5 Antidifferentiation

All the references in parentheses below are to the basic integration formulas. In
general, if u is a function of x, then du = u′(x) dx.


(C) Use,    first,  formula (2),    then    (3),    replacing   u   by  x.

(E) Hint:   Expand. .

(A) By  formula (3),    with    u   =   4   −   2t  and n   =       ,
.

(D) Rewrite:    −       (2  −   3x)^5 (−3   dx)

(E) Rewrite:
.

Use (3).
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