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5. Do the following tasks using Mathematica.

 

 

(a) Plot the above functions in a single graph for  

(b) Find the limits of the integration for the area of the region enclosed by 

 

      Hint: Solve the equations to find the intersections.

(c) Do the integration to find the area.

 

Please do it with Mathmetica and upload the .nb file or you can share link . I will give a like. Thanks

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Do the following tasks using Mathematica.

                    

  (a) Plot the curves in a single graph for -2 ≤ χ ≤ 2and shade the region only. Then find the area of the bounded region using Area [] function

  (b) Find the length of the entire curve  

Hint: Determine the Domain and Range of the function first.

        Do not use the built-in ArcLength [] function.

   (c) Find the surface area obtain by rotating the curve.

          

Please UPLOAD the Mathematica file(.nb).

Please do it with MATHEMATICA and upload the MATHEMATICA file(.nb)

 

(a) Solve the differential equation:

     Plot multiple solutions of the differential equation with values of constants

     c–-2.-1.0,1,2 in a single graph

(b) 

 

     Find the value of y(4) 

(c) Plot the numerical solution of the differential equation for 0  

   

 

 

Please solve this Using Mathematica and upload the (.nb) file

(a) Solve the differential equation:

 

Plot multiple solutions of the differential equation with values of constants c -2,-1,0,1,2 in a single graph

(b)   

Find the value of y(4)

(c) Plot the numerical solution of the differential equation for 0 ≤ χ  ≤ 10:

 

 

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