51. Show that the absolute minimum value of f(x) = x 2 + x 2 (8 − x)2 , x > 8 occurs at x = 10 by using a CAS to find f (x) and to solve the equation f (x) = 0.

1,589.63 in.^3

step-by-step explanation:

i hope this you : d

$54.99

step-by-step explanation:

$54.99 includes 500 min. if she does not exceed 500 min then her bill is $54.99

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)