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Unformatted text preview: Section 2.2
2. y e x ln y x Interchange x and y. ln x y f 1(x) ln x 7. (a) f ( x)
1 (b) f x 49 cos ( x)
1 cos x cos x 8. (a) f ( x)
1 (b) f x e e ( x) 1/x ex
ln ( x) x 9. (a) f ( x)
1 x ln ( x) x ln 1/x 1/x (b) f
[ 6, 6] by [ 4, 4] x ln x 1 x ln x x
1 ( sin x) x 10. (a) f ( x) 3. y tan x x,
2
1 x
1 sin x x 1 x 1 1/x 1 sin ( x) x x y
2 tan y Interchange x and y. tan x f
1 (b) f
2 1 x sin 1 x 1 x x sin 1 x y, 2 x
2 (x) tan x, x Section 2.2 Exercises
2 1. [ 5, 5] by [ 1.5, 1.5] [ 6, 6] by [ 4, 4] 4. y cot 1x cot y x, 0 x Interchange x and y. cot x y, 0 y f 1(x) cot x, 0 x (a) lim f (x)
x 1 1 (b) lim
x f (x) 1 (c) y
[ 6, 6] by [ 4, 4] 2. 5. 3x 3 4x 2 3 5 2x 3 2x3 3x 2 0x2 3x2 x
8 x 3 5 x 3 1
10 3 7 3
[ 10, 10] by [ 1, 1] q(x) r(x) 6. x
3 2 3 3x 2 5 x 3 7 3 x 2 2x2 1 2x 5 2x5 2x 1 0x 4 x3 4 2x 0x3 2x4 x3 4 2x 2x3 x3 x3 1 2 (a) lim f (x) 0x 2 2x2 2x2 0x2 2x2 x2 x2 x 1
x 0 0 (b) lim x 1 2x x 1 0x 1 x 2
x f (x) 0 (c) y q(x) r(x) 2x 2 x2 2x x ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.
 Spring '08
 GERMAN

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