Plese i in this exam,its a challenge.

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SUMMARY

The discussion centers on calculating the curvature of the curve defined by the parametric equation r(t) = ti + (t^3/2)j for t > 0. Participants emphasize the importance of understanding the formula for curvature in relation to parametric equations. The curvature can be derived using the appropriate mathematical techniques, which are essential for solving such problems effectively. The conversation highlights the need for clarity in applying these concepts to succeed in the exam.

PREREQUISITES
  • Understanding of parametric equations
  • Knowledge of curvature formulas in differential geometry
  • Familiarity with vector calculus
  • Basic proficiency in calculus, particularly derivatives
NEXT STEPS
  • Study the formula for curvature of a parametric curve
  • Practice calculating curvature using different parametric equations
  • Explore vector calculus applications in physics
  • Review differential geometry concepts relevant to curvature
USEFUL FOR

Students preparing for exams in calculus or differential geometry, particularly those needing assistance with parametric equations and curvature calculations.

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Homework Statement



i need help in solving this,coz i have an exam tomorrow,please help me,i search everywhere and i didnt know how to do it

Homework Equations


find the curvature of the fowloing curve
r(t)= t i +t^3/2 j , t>0


The Attempt at a Solution

 
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Welcome to PF shishi.
I assume that you have learned how to calculate the curvature of a curve. If you are given a parametrization r(t), then what is the formula for the curvature?
 

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