Compute the average value of the following function over the region r. f(x, y) = 7 sin x cos y r= { (x, y): 0 leq x leq pi/2, 0 leq y leq pi/3} bar f = (simplify your answer. type an exact answer, using radicals as needed. type your answer in factored form. use integers or fractions for any numbers in the expression.)

The average value of on is

i.e. the ratio of the integral of over to the measure/area of .

We have

and

So the average value is

step-by-step explanation:

total income = price of one ticket   *   number of tickets sold

  y                 =     4                                   x

so the equation is y=4x     with x≥0   because number of tickets sold can not be negative

thus the equation is a semi -line with an end point at

(0,0)

passing through :

x=1     y=4(1) = 4   so through (1,4)