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Differential Equations Problems

Differential Equations Problems
Differential Equations Problems
  • Page 1
 1.  

Two numbers have a difference of 16. Find the numbers if the result of adding their sum and their product is a minimum.



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 2.  

Find the critical numbers of this function: h(p) = (p-4)/(p^2+5)



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 3.  

Solve the equation $4x^2 + 49y^2$ = 196 using explicit differentiation. Part a) Find dy / dx using implicit differentiation. Part b) Solve the equation explicitly for y and differentiate to get dy / dx in terms of x. (consider only the first and second quadrants for this part).



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