Find the exact area of the surface obtained by rotating the given curve about the x-axis.


Mathematics

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Evaluate the expression using the given values.?x = 3, y = 10

A.  
B.  
C.  
D.

Mathematics

Divide using long division.

A. x3 +  + 9x + 27 + 
B. x3 +  + 9x + 27
C. x3 -  + 9x - 27 + 
D. x3 +  + 9x + 27 + 

Mathematics

Describe the transformations that produce the graph of g from the graph of f. ; g(x) = -3x3 + 2

A. Stretch vertically by a factor of 2. Reflect it across the x-axis. Shift it 3 units upward. B. Stretch vertically by a factor of 3. Reflect it across the x-axis. Shift it 2 units upward. C. Stretch vertically by a factor of 3. Reflect it across the x-axis. Shift it 2 units downward. D. Stretch vertically by a factor of 3. Reflect it across the y-axis. Shift it 2 units upward.

Mathematics

Find the domain of the composite function f ? g.f(x) = ; g(x) = 

A. {x 
B. {x 
C. {x 
D. {x 

Mathematics