sec8_1

sec8_1 - to (1 , 1) . Section 8.1 Arc Length 3 2. Arc...

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8.1 Arc Length 1. Finding Arc Length Arc Length Theorem 1.1. If f ± is continuous on [ a, b ] , then the length of the curve y = f ( x ) , a x b is 1
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Section 8.1 Arc Length 2 Example 1.1. Find the length of the curve y = 4 2 3 x 3 / 2 - 1 from x =0 to x =1 . Example 1.2. Find the length of the curve y = ln(cos x ) from x =0 to x = π/ 4 . Example 1.3. Find the length of the curve y 2 = x from (0 , 0)
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Unformatted text preview: to (1 , 1) . Section 8.1 Arc Length 3 2. Arc Length Function Defnition 2.1. Let f be a smooth function on [ a, b ] . The arc length Function s is deFned by Example 2.1. ind the arc length function for y = 1 3 x 3 + 1 4 x ( x > ) with starting point (1 , 7 / 12) ....
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sec8_1 - to (1 , 1) . Section 8.1 Arc Length 3 2. Arc...

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