An architect has designed two tunnels. Tunnel A is modeled by x2 + y +...
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An architect has designed two tunnels. Tunnel A is modeled by x2 + y + 20x - 69 = 0, and tunnel B is modeled by x - 40x + 16y + 160 = 0, where all measurements are in feet.The architect wants to verify whether a truck that is 8 feet wide and 13.5 feet high can pass through the tunnels.Part A: Write the equation for Tunnel A in standard form and determine the conic section. Show your work. (4 points)Part B: Write the equation for Tunnel B in standard form and determine the conic section. Show your work. (4 points)Part C: Determine the maximum height of each tunnel. Is the truck able to pass through either tunnel without damage? If so, which tunnel(s) and why? Show your work. (7points)
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