Provide an appropriate response.The first-quadrant region bounded by y = 
, the x-axis, and the y-axis is revolved about the y-axis to form a solid. Explain how you could use elementary geometry formulas to verify the volume of the solid.
What will be an ideal response?
The resulting solid is a hemisphere of radius 2. The volume is given by V = 
?r3 = 
?
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Solve the exponential equation. Round to three decimal places when necessary.e-0.19t = 0.17
A. -14.164 B. 9.326 C. 9.226 D. -10.38
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves about the given lines.y = 5x,
y = 0,
x = 2; revolve about the line x = -2
A. 
?
B. 
?
C. - 
?
D. 
Solve the given system of equations algebraically.y = x2 - 5y2 = 9
A. x = 2.828, y = 0; x = 3.742, y = 3 B. x = 2.828, y = 3; x = -2.828, y = 3; x = 1.414, y = -3; x = -1.414, y = -3 C. x = -5, y = -9; x = -5, y = 9; x = 5, y = 9; x = 5, y = -9 D. No solution
Evaluate the function.Given f(x) = x2 - 5x - 1, find f(-2).
A. 15 B. -7 C. 13 D. -5