If the average value of the function f on the interval 1≤x≤4 is 8, what is the value of ∫41(3f(x)+2x)dx ?

What is the rationale for government provision of education? -not all incomes are equal, but everyone has the right to education regardless of wealth. -potential students consider only their personal benefits gained from education, but the rest of society benefits, too. -no education would be provided in the absence of government provision because everyone would consume it without paying. -the cost of providing education for the entire public is too large. -the government can provide education at a much lower cost than the private sector.

An object accelarates from rest to a velocity of 2.4m/s over a distance of 16m what was its accelaration

Look back at act iv scene v to read over ophelia's interactions with claudius and gertrude as well as laertes. then, compare her dialogue to hamlet's dialogue and soliloquies previously analyzed in acts i–iv. what is ophelia's state of mind versus hamlet's?