A machine consists of two components, whose lifetimes have the joint density function 1 , 0, 0, 10 (, ) 50 0, otherwise. x y xy f xy   > > +< =    The machine operates until both components fail. Calculate the expected operational time of the machine.

Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. surfaces: xsquared2plus+2yplus+2zequals=1212 yequals=33 point: left parenthesis 1 comma 3 comma five halves right parenthesis

Write the expression in complete factored form. 5n_(c - 3) - n(c - 3) =

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?