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**Unformatted text preview: **(That is, we know C = 2πr.) With the help of your classmates,
compile a list of other basic geometric relationships which can be seen as variations.
9 Also known as the linear density. It is simply a measure of mass per unit length. 278 4.3.3 Rational Functions Answers 6
1. (a) x = − 7
(b) x = 1, x = 2 2. (a)
(b)
(c)
(d)
(e)
(f)
(g)
(h) (c) x = −1
(d) x = −6, x = 2 (−2, ∞)
(−2, 3]
(−1, 0) ∪ (1, ∞)
(−∞, 0]
(−2, 0] ∪ (2, ∞)
(−∞, −3) ∪ (−3, 2) ∪ (4, ∞)
1
−3, − 3 ∪ (2, 3)
(−1, 0] ∪ (2, ∞) (i) (−∞, −3) ∪ (−2, −1) ∪ (1, ∞)
(j) (−∞, 1] ∪ [2, ∞)
(k) (−∞, −6) ∪ (−1, 2)
√
√
(l) (−∞, −3) ∪ −2 2, 0 ∪ 2 2, 3
(m) No solution
(n) [−3, 0) ∪ (0, 4) ∪ [5, ∞)
1
(o) −1, − 2 ∪ (1, ∞) 3. (a) V = πr2 h.
(b) S = 2πr2 (e) No solution
√
(f) x = 0, x = ±2 2 (c) S (r) = 2πr2 + 67.2
r, Domain r > 0 (d) r ≈ 1.749 in. and h ≈ 3.498 in. + 2πrh 4. P (30) = 100 so before 1903 there were fewer than 100 Sasquatch in Portage County.
5. (a) C (25) = 590 means it costs $590 to remove 25% of the ﬁsh and and C (95) = 33630
means it would cost $33630 to remove 95% of the ﬁsh from the pond...

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