Use implicit differentiation to find dy/dx and d2y/dx2.2y - x + xy = 7

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


Answer: B

Mathematics

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Suppose that y is inversely proportional to x. Use the given information to find the constant of proportionality k. Then use y =  to find y for the given value of x.y = 2.5 when x = 5;Find y given x = 16.

A. k = 5; y = 
B. k = 0.5; y = 8
C. k = 12.5; y = 
D. k = 2.5; y = 

Mathematics

Provide an appropriate response.The rational expression  describes the cost, in millions of dollars, to inoculate x percent of the current population of cattle against a particular virus. Choose which of the following statements are true with regard to this mathematical model.I. The expression will be undefined when x = 100.II. The cost of inoculating 90 percent of cattle is 900 million dollars more than the cost of inoculating 60 percent of cattle.III. This expression will calculate inoculation costs for any population of cattle, no matter what the size.

A. Only I and II are true. B. Only I and III are true. C. Only II and III are true. D. All three statements are true.

Mathematics

Use a Venn diagram to find the GCF or LCM as indicated.Given 112 and 96, find the LCM.

A. 224 B. 336 C. 672 D. 1344

Mathematics

Solve the problem.The shadow cast by an object on a sunny day varies directly as the height of the object. If a person 56 inches tall casts a shadow 65 inches long, how tall is a tree which casts a shadow 44 feet in length?

A. 37.91 ft B. 60.5 ft C. 51.07 ft D. 82.73 ft

Mathematics