I am so sorry but this homework is due in half an hour. Please help me!
A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks 20 miles apart, the concentration of the combined deposits on the line joining them, at a distance x from one stack, is given by
S=K_1/x^2+K_2/(20-x)^2
where
k1
and
k2
are positive constants which depend on the quantity of smoke each stack is emitting. If
k1 = 3k2,
find the point on the line joining the stacks where the concentration of the deposit is a minimum. (Round your answer to two decimal places.)
I just have no idea where to start and it is my last question. please help!!!