Suppose f and g are continuous functions such that
g(9) = 3
and
lim
x → 9
[3f(x) + f(x)g(x)] = 12.
find
f(9).

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2 acellus answer

Technicians have installed a center pivot, circular irrigator for a farm that covers 25 acres. a.) how long is the irrigation boom (in feet) from the center pivot to its farthest extent? b.) if the irrigation boom makes 4 full revolutions in a day, how many miles does the end of the boom travel in 5 days?