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).