Find the average value of the function f over the given region.f(x, y) = ex2 over the region bounded by 
, 
, 
, and 
.
A. 
B. 
C. e - 1
D. 2e - 1
Answer: C
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Find the dimension of the object and state whether or not it is a fractal.In measuring the volume of the object, when you reduce the length of your ruler by a factor of 3 the number of length elements increases by a factor of 27.
A. The dimension is 1 and the object is ordinary (non-fractal). B. The dimension is 2 and the object is ordinary (non-fractal). C. The dimension is 3 and the object is a fractal. D. The dimension is 3 and the object is ordinary (non-fractal).
The following system does not have a unique solution. Solve the system.
A. infinitely many solutions of the form x = 
+ 
z, y = 
- 
z, z = z
B. x = 0, y = 0, z = 
C. inconsistent system, no solution
D. infinitely many solutions of the form x = - 
- 
z, y = - 
+ 
z, z = z
Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.
A. x7
B. 
C. x15
D. 
Find the exact value of the expression.
A. 
B. 2
C. 
D. 