Unformatted text preview: 2 θ ) , y = 13(sin θsin θ cos θ ) (Solution: (39 / 4 ,39 √ 3 / 4), (39 / 4 , 39 √ 3 / 4)) 8. Find the area of the surface obtained by rotating the curve about the xaxis x = a cos 3 θ, y = a sin 3 θ, ≤ θ ≤ π (Solution: 12 πa 2 / 5.) 9. Find the length of the curve x = t 1+ t , y = ln(1 + t ), 0 ≤ t ≤ 2. (Solution:√ 10 / 3 + ln(3 + √ 10) + √ 2ln(1 + √ 2).) 10. Find the slope of the tangent line to the polar curve r = 1 /θ at θ = π . (Solution:π ) 11. Find the area bounded by the curve r = √ sin θ and lies in the sector 0 ≤ θ ≤ 2 π/ 3. (Solution: 3 / 4) 12. Find the length of the polar curve r = 7 cos θ for 0 ≤ θ ≤ 3 π/ 4. (Solution: 21 π/ 4) 1...
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 Fall '08
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 Math, Calculus, Power Series

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