Hello, Susie38!
Here are parts (b) and (c).
a. Find a continuous function,
, satisfying
b. Give the values of
on
for which
is not differentiable.
c. Compute:
On , the function is a straight line.
On , the function is a sine curve.
On , the function is a horizontal line. Code:

1 + ** o * * * *
 * : * : :
 * : * : :
 * : * : :
 *    +    *    +    + 
 π/2 2π* 3π/2 2π
 * :
 * :
1 + **

(b) is not differentiable at and
It has two different slopes at
It is discontinuous at
(c) No calculus needed!
The triangle has base and height
. . . Its area is:
The sine curve has a region above and a region below the xaxis.
. . . The two regions have equal area and will cancel out.
Its net area is:
The rectangle has base and height
. . . Its area is:
The value of the integral is the sum of these areas:
. . .