You are asked to estimate the water flow rate in a pipe of radius 4 meters at a remote location with a harsh environment. the flow rate q is given by q = s26rv(r) dr you know that velocity v varies along the radial location r (i. e., v is a function of r), which is measured from the center of the pipe. that is to say, r = 0) is the center of the pipe, and r = 4 meters is the wall of the pipe. but you do not know how the velocity varies with radial location (i. e., you do not know what the function v(r) looks like). in this situation, one way to approximate the flow rate ( as an integral is to sample velocity v at various radial locations r then apply gauss quadrature rule. to save money, you are wo velocity probes (these probes send the data to the central office in new york, ny via satellite) in the pipe. denote the radial location closer to the center of the pipe ri, and the other r2. to obtain the most accurate calculation of the flow rate, the radial location r2 you would suggest for the velocity probe is (enter your answer as a decimal number and keep 4 decimal places).