Answers edited by Salvatore I.

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• Differential Calculus Word Problem?
  
• What is the equation of the line tangent to # f(x)=x^2/e^x-x/e^(x^2) # at # x=0#?
  
• An object is made of a prism with a spherical cap on its square shaped top. The cap's base has a diameter equal to the lengths of the top. The prism's height is # 15 #, the cap's height is #8 #, and the cap's radius is #9 #. What is the object's volume?
  
• If #A= <4, 3 ,-1 ># and #B= <9 ,7 ,6 >#, what is #A*B -||A|| ||B||#?
  
• How do you compute the 9th derivative of: #arctan((x^3)/2)# at x=0 using a maclaurin series?