Perform the conversion.810,000 mL = _____ L
A. 81,000
B. 810
C. 0.81
D. 8.1
Answer: B
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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded below by the parabola 
and above by the line 
, with density 
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Solve the problem.Consider the functions f(x) = x2 and g(x) = x3 and their linearizations at the origin. Over some interval 
the approximation error for g(x) is less than the approximation error for f(x) for all x within the interval. Derive a reasonable approximation for the value of ?. Show your work. (Hint, the absolute value of the second derivative of each function gives a measure of how quickly the slopes of the function and its linear approximation are deviating from one another.)
What will be an ideal response?
Find the focus and directrix of the parabola with the given equation.x2 = 4y
A. focus: (0, -1) directrix: x = -1 B. focus: (1, 0) directrix: x = 1 C. focus: (1, 0) directrix: y = 1 D. focus: (0, 1) directrix: y = -1
Find all square roots of the number.
A. 
, - 
B. 
, - 
C. 
, - 
D. 5, - 5