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a)Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f′​(c)in the conclusion...

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Basic Math

a)Find the value or values of c that satisfy the equationf(b)-f(a)/b-a = f′​(c)in the conclusion of the Mean Value Theoremfor the function and interval. Round to the nearest thousandth.

f(x) ln(x-3), [4,7]

b)Suppose that

​c(x)=3x^3-40x^2+6844x is the cost of manufacturing x items.Find a production level that will minimize the average cost ofmaking x items.

c)A rectangular field is to be enclosed on four sides with afence. Fencing costs $6 per foot for two opposite​ sides, and $5per foot for the other two sides. Find the dimensions of the fieldof area 890fts^2that would be the cheapest to enclose

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