The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f (x )equalsstartfraction x squared over 2 (1 minus x )endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

The rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities are:

a) 0.52

b) 2.63

Step-by-step explanation:

The rate of change of a function at a given point P can be obtained by evaluating the 1st derivative of the function in P. Thus,

Now for we just need to evaluate in each of the given points

a)

b)

7

step-by-step explanation:

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363