ctoph3162 ctoph3162
  • 02-08-2017
  • Mathematics
contestada

At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decimal places. if an answer does not exist, enter dne.)

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-08-2017
[tex]\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle[/tex]

[tex]x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65[/tex]
[tex]\implies t^2=64[/tex]
[tex]\implies t=\pm8[/tex]
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