Find the center of mass of the lamina that occupies the region D and has the given density function, if D is bounded by the parabola y = 1 - x² and the x-axis.
p(x,y) = 4y
(0, 0.57)
Mathematics
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Provide an appropriate response.Solve the quadratic inequality: (x - 5)(x + 4) > 0
A. x < -4 or x > 5 B. -4 < x < 5 C. -5 < x < 4 D. x < -5 or x > 4
Mathematics
Find the LCD for the pair. Write the fraction pair as equivalent fractions with the LCD as their denominators.
, 
A. 18(x - 10)(x - 6); 
, 
B. 9(x - 6); 
, 
C. 18(x - 10); 
, 
D. 9(x - 10)(x - 6); 
, 
Mathematics
Solve.9x - 9y - 6z = -116x + 3y - 3z = 1 x - y + 2z = -3
A. 
B. 
C. 
D. 
Mathematics
Name the property illustrated by the sentence.y + 8 = 8 + y
A. Additive identity property B. Associative property of addition C. Commutative property of addition D. Additive inverse property
Mathematics