Question

The zhaozhou bridge in china is one of the oldest known arch bridges, dating to a.d. can model the support arch with the function f(x)=-0.01075x^2 + 0.131148x, where x and y are measured in high is the arch above its supports.

Answer 1

The student's question involves finding the maximum height of the Zhaozhou Bridge's arch using the quadratic function provided, which represents an example of the application of mathematics in engineering.

Step-by-step explanation:

The question posed by the student involves the function f(x) = -0.01075x^2 + 0.131148x which models the support arch of the Zhaozhou Bridge, an ancient arch bridge in China. This function represents a quadratic equation and is used to determine the height of the bridge's arch at any given point along its span, where x is the horizontal distance from one end of the arch and f(x) is the height above the supports. To find the maximum height of the arch, one would look for the vertex of the parabola represented by this function since the vertex will give the height of the keystone, which is the topmost stone in an arch and crucial for its structural integrity.