The functions 
and 
are given.
Draw the graph the given functions, f and g, in the same coordinate system.
The graphs of the functions f and g intersect twice, at the same angle. Calculate the derivatives of the functions and the angle between the graphs at one of the intersections.
Calculate b, such that 
, for which the area of the figure bounded by the graphs of the functions f and g, the abscissa, and line with the equation 
, is equal to 
.
Let 
. A graph of the function 
is drawn in the coordinate system, which is parallel to the function f. Write down the function regulation for the function . Draw a graph of 
in the coordinate system.
.
.
