Examples And Solutions of the Differential Calculus
The book Examples And Solutions of the Differential Calculus was written by author James Haddon Here you can read free online of Examples And Solutions of the Differential Calculus book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Examples And Solutions of the Differential Calculus a good or bad book?
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x + a ITS? \\Tience x = y= \~j- Therefore the altitude must be made equal to the radius of the base. TWO OR MORE VARIABLES. 77 (10. ) u=a? t 2>axy+y i find the values of x and y which render u a maximum or minimum. x=a ) yCL, u=& minimum when a is positive, and a maximum when a is negative. (11. ) u = aa? Ijx^y -f y 1, find the values of x and y which make u a maximum or minimum. (12. ) u=aa?y 2 x^y 1 x^y^ ; find the values of x and y which make u a maximum or minimum. A a maximum. 2 (13. ) u=(...l- ^ - -) (l- ^) ; find the values of x * y> and y which render u a maximum or minimum. 7T (14. ) u=a cos 2 #-f-& cos 2 y, where y=--r -\-x\ find the values 4 of cos# and cosy which make u a maximum or minimum. ! + - rf =1 * 2 ~~ 2 \/ 2 4- 6 2 2 2 ), a maximum with the upper, and a minimum with the lower sign. (15. ) Divide a given number a into three such parts #, y, and #, that -^--\ -\ shall be a maximum or minimum, J o 4 and determine which it is. (16. ) Inscribe the greatest triangle within a given circle.
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