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Exam (elaborations) MATH162-24 Calculus $7.99   Add to cart

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Exam (elaborations) MATH162-24 Calculus

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Sample Exam 1 from the Korea University Calculus class (MATH162-24).

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  • October 29, 2023
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  • 2019/2020
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KOREA UNIVERSITY

2019 Calculus II (MATH 162-22) Sample Exam 1

1. Find the curvature at each point   of the ellipse

 
   
 

(Solution)
Let’s write a parametric equation of the ellipse as    cos    
       cos   sin  
 ′    sin   cos   Then   ′  
 sin    cos 


 
  
′ ×″    sin  cos    .
 acos    sin  
′ ×″ 
So the curvature    

′  sin   cos
 




2. Find an equation for the level curve of the function through the given
point  .
      
passing through the given point    .


(Solution)

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