A rectangular beam will be cut from a cylindrical log of radius r=40 inches. Suppose that the strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from the cylindrical log.






Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = 

A.  = -  =  ;   =  =  
B.  = -  =  ;   =  =  
C.  = -  =  ;   =  =  
D.  =  = - ;   =  =  

Mathematics

Use a 4-column table to solve.A woman has $1.70 in dimes and nickels. She has 5 more dimes than nickels. How many nickels does she have?

A. 18 nickels B. 8 nickels C. 3 nickels D. 13 nickels

Mathematics

Draw a line that has the given slope and m = - , b = 4 

A.

B.

C.

D.

Mathematics

Find the area of the circle. Use 3.14 or  for ? as indicated.Use 3.14 for ?.

A. 81.64 cm2 B. 530.66 cm2 C. 132.665 cm2 D. 40.82 cm2

Mathematics