Please read attachment. - Answer each problem: Determine the acceleration vector from x = 3t3-4, y =...

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Please read attachment. - Answer each problem: Determine the acceleration vector from x = 3t3-4, y = 6t2+2t Given (x,y) = (4x+y) + (3y+2) , solve dl from (0,0) to (2,2) Find the vector flux of = XXXXXXXXXXthrough the c
	
Document Preview: Answer each problem:Determine the acceleration vector from x = 3t3-4,  y = 6t2+2tGiven F(x,y) = (4x+y)i + (3y+2)j , solve Fdl from (0,0)  to  (2,2)Find the vector flux of G = 2i + 3j - k through the cylinder x2 + y2 = 4, 2= z = -2Curl (xi + 2xj + z2 k)? (3xi + y2 j + z3k )Determine the volume integral of Q/r2 over the sphere of radius 5 by solving the surface integral.

David · Accepted Answer

1) x = 3t3-4    =>
  
  
          
y = 6t2+2t  => 
  
  

  
  
  
  
⁄
  
  ⁄
  
     
   

   

  
 
  
  

  => 
   
   

  
 
     
   
 
   

    

   

    

2)  Given  ⃗(x,y) = (4x+y) ⃗ + (3y+2) ⃗ , solve ∫  ⃗dl from (0,0)  to  (2,2) 
 
  

  
         since( 1 ≠ 0 ) 
Therefore the force is non-conservative i.e. ∫  ⃗dl is dependent on the path 
Suppose if we go along the line segment from (0,0)  to  (2,2) i.e.

Please read attachment. - Answer each problem: Determine the acceleration vector from x = 3t3-4, y = 6t2+2t Given (x,y) = (4x+y) + (3y+2) , solve dl from (0,0) to (2,2) Find the vector flux of =...

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