Unformatted text preview: (d) x 24 y 2 = 1 (e) x 2 + y 2z = 0 6. Translate the point ( r,θ,z ) = (1 ,π/ 2 , 1) into rectangular and spherical coordinates 7. Translate the point ( ρ,φ,θ ) = (2 √ 2 ,π/ 2 , 3 π/ 2) into rectangular and cylindrical coordinates 8. Given r ( t ) = t i + (2 / 3) t 3 / 2 k , 0 ≤ t ≤ 8, ﬁnd the curve’s unit tangent vector and the length of the indicated portion of the curve 9. Find T ( t ), N ( t ), B ( t ), and κ for the space curve r ( t ) = ( e t cos t ) i + ( e t sin t ) j + 2 k...
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 Spring '06
 YUKICH
 Scalar, vector projection, scalar projection, plane P QR

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