Question

Let f(x)= abs of negative abs of x + pi/2 close abs and g(x)= abs of cosx.

the wording might be confusing so here is another description of the equation (the "vertical line" that I refer to is the line you draw as you draw the absolute value sign...for example "line x line" means that x is enclosed by two vertical lines...abs of x....

So here is the description of f(x):

line, negative sign, line, x, line, plus sign, pi/2, line
a)Find the area of f(x) and g(x).

b)Find the volum of solid obtained by spinning the shape from part a) around the x- axis. when x= 3pi/2?

Answer 1

all those words!

f(x) = |x + π/2|
g(x) = |cos x|

Not sure what you mean in part (a). f(x) and g(x) intersect in a single point: (-π/2,0)

See the graphs at

http://www.wolframalpha.com/input/?i=plot+y%3D|x%2B%CF%80%2F2|%2C+y%3D|cos+x|

Maybe I misread your text.

Answer 2

Steve, I plotted the function the way it was originally stated and it showed a giant W along with the |cosx|

http://www.wolframalpha.com/input/?i=plot+y+%3D+%7C+-+%7Cx%7C+%2B+%CF%80%2F2+%7C+%2C+y+%3D+%7Ccos%28x%29%7C

The "solid" still needs a domain, and not well defined

Answer 3

yeah, i misread f(x)