In: Math
a)Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f′(c)in the conclusion of the Mean Value Theorem for 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 of making x items.
c)A rectangular field is to be enclosed on four sides with a fence. Fencing costs $6 per foot for two opposite sides, and $5 per foot for the other two sides. Find the dimensions of the field of area 890fts^2that would be the cheapest to enclose