Perform the indicated operation and simplify.
+ 
A. 
B. 
C. 
D. 
Answer: A
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Solve the problem.A water tank is formed by revolving the curve y = 3x4 about the y-axis. Find the volume of water in the tank as a function of the water depth, y.
A. V(y) = 
y1/2
B. V(y) = 
y3/2
C. V(y) = 
y3/2
D. V(y) = 
y9
Calculate the circulation of the field F around the closed curve C.F = y2i + x3j; curve C is the counterclockwise path around the triangle with vertices at 
, and 
A. 
B. - 
C. 0
D. 
Determine the constant term that must be added to the expression to make it a perfect square.x2 - 
x
A. 
B. 
C. 
D. 
Graph the given function. Identify the vertex and the intercepts.y = - x2 - 2x - 1
A. Vertex: (-1, 0)
x-intercept: -1
y-intercept: -1
B. Vertex: (1, 0)
x-intercept: 1
y-intercept: 1
C. Vertex: (1, 0)
x-intercept: 1
y-intercept: -1
D. Vertex: (-1, 0)
x-intercept: -1
y-intercept: 1