The cost of laying a telecommunications cable from the house to the island is $10,000 per mile on land and $18,00U per mile under water. Find the distance from the house, it, that minimizes the cost of laying the cable. a. Find the cost function as a function of X b. Use Desmos to graph the cost function of part a. and show the value of x that minimizes the cost and electronically cut and paste the Desmos graph below {not on a separate page resize it necessary]. c. Use Calculus to shovv the derivative of the cost function is lab5) ("(1') = 10 d. Solve Algebraicallv using the quadratic formula. Give the exact answer with a square root then the decimal approximation. Your answer should match part b. ("(1') = 0