#3: 1a&b) ANSWER:
#3: 1c) ANSWER: 
SOLUTION: 
Using the Pythagorean Theorem, 
or
#3: 1d) ANSWER: y / = 2x and
SOLUTION: y / = 2x and
#3: 1e) ANSWER: 
#3: 1f) ANSWER: 
SOLUTION: The graph is above the interval [0,2].
Since you are summing in the x
direction, x = 0 to x = 2 are the limits of integration. In the limiting process, Delta x
turns into dx and x i turns into x. Therefore,