34. Your engineering firm is bidding for the contract to construct the tunnel shown here. The tunnel is 300 ft long and 50 ft wide at the base. The cross-section is shaped like one arch of the curve y = 25 cos (7x/50). Upon completion, the tunnel's inside sur- face (excluding the roadway) will be treated with a waterproof sealer that costs $2.35 per square foot to apply. How much will it cost to apply the sealer? (Hint: Use numerical integration to find the length of the cosine curve.) y = 25 cos (7x/50) -25 0 300 ft 25 x (ft) NOT TO SCALE