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I am having difficulty with these questions (1 point) Find two numbers differing by 44 whose product is as small as possible. Enter your two

I am having difficulty with these questions

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(1 point) Find two numbers differing by 44 whose product is as small as possible. Enter your two numbers as a comma separated list, e.g. 2, 3. The two numbers are(1 point) Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springeld and Shelbyville. There needs to be cable connecting Centervilie to both towns. Centerville is located at (10.0} In the xyplane, Springeld is at {[1,2]. and Shelbyidlie is at [0,-2]. To save on the cost of cable. Greedy Cablevision wants to anange the cable In a Y-shaped conguation. mnning cable from Centerville to some point [no] on the x-axis where it then splits Into two branches. one going to Springeld and one to Shelbyville. Find the location {x11} that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your conclusion by answering the following questions. (a) To solve this problem we need to minimize the following function of x: f (I) = (b) We nd thatx) has a critical point at x = (c) To verify that f():) has a minimum at this critical point we evaluate the second derivative f \" (x) at this point. f \" (critical point) is , a positive number. (:1) Thus the minimum length of cable reeded is (1 point) A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks d 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 x2 + (d - x)2 where c and k are positive constants which depend on the quantity of smoke each stack is emitting. If k = 6c, find the point on the line joining the stacks where the concentration of the deposit is a minimum. *min = mi

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