Find the area of the region under the graph of the function
?
?
on the interval 
, using the fundamental theorem of calculus. Then verify your result using geometry.
Fill in the blank(s) with the appropriate word(s).
16
Mathematics
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Solve the problem.Let f(x,y) = ln (x2 + y2). Which one of the following curves is a simple closed path in the domain of the function f?
A. The unit circle x2 + y2 = 1
B. The ellipse 
+ 
= 1
C. The rectangle with vertices at (-3, 2), (3, 2), (3, -2), and (-3, -2)
D. The unit circle (x - 5)2 + y2 = 1
Mathematics
Perform the indicated operation and, if possible, simplify.
- 
A. 
B. - 
C. 
D. - 
Mathematics
Divide and check the answer.
A. 3x8 - 5x5 + x B. 9x6 - 15x3 + 1 C. 3x6 - 5x3 + x D. 3x7 - 5x4 + x2
Mathematics
Perform the indicated operations. 
A. -5 B. 4 C. 5 D. 35
Mathematics