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Stitz-Zeager_College_Algebra_e-book

# Theorem 63 inverse properties of exponential and log

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Unformatted text preview: y ≈ 441.93687. 5 3 300 2 1.23x 5 . 9. (a) [0, c) mr (b) m(.1c) = √ ≈ 1.005mr .99 mr m(.5c) = √ ≈ 1.155mr .75 mr m(.9c) = √ ≈ 2.294mr .19 mr ≈ 22.366mr m(.999c) = √ .0.001999 (c) As x → c− , m(x) → ∞ (d) If the object is traveling no faster than approximately 0.99995 times the speed of light, then its observed mass will be no greater than 100mr . 5.3 Other Algebraic Functions 327 √ 1 12. (a) y = 3 x3/2 − x + 2 . The point 0, 2 is when Fritzy’s path crosses Chewbacca’s path 3 3 in other words, where Fritzy catches Chewbacca. 1 (b) y = 6 x3 + 21 − 2 . Using the techniques from Chapter 4, we ﬁnd as x → 0+ , y → ∞ x 3 which means, in this case, Fritzy’s pursuit never ends; he never catches Chewbacca. This makes sense since Chewbacca has a head start and is running faster than Fritzy. 1 y = 3 x3/2 − √ x+ 2 3 y = 1 x3 + 6 1 2x − 2 3 328 Further Topics in Functions Chapter 6 Exponential and Logarithmic Functions 6.1 Introduction to Exponential and Logarithmic Functions Of all of...
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