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Author Question: Determine the points where the parametric curve x = t3 - 3t, y = t3 - 12t have horizontal and ... (Read 61 times)

JGIBBSON

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on: May 26, 2021

Question 1

Express    and    in terms of  x  and  y  for the circle  x = a cos θ,  y = a sin θ.
◦ =  ,     = -
◦ = - ,     = -
◦ =  ,     =  
◦ =  ,     = -
◦ = - ,     = -

Question 2

Determine the points where the parametric curve x = t3 - 3t,  y = t3 - 12t  have horizontal and vertical tangents.
◦ horizontal tangents at (2, -16), (-2, 16)  and vertical tangents at (2, 11), (-2, -11)
◦ horizontal tangent at (0, 0)
◦ no horizontal or vertical tangents
◦ vertical tangent at (0, 0)
◦ horizontal tangents at (2, 11), (-2, -11)  and vertical tangents at (2, -16), (-2, 16)
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Marked as best answer by JGIBBSON on May 26, 2021

ApricotDream

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Reply #1 on: May 26, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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JGIBBSON

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Reply 2 on: May 26, 2021
:D TYSM

lkanara2

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Reply 3 on: Yesterday
Excellent

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