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.


c. (0, 0.57)

Mathematics

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Determine how many vertices and how many edges the graph has.

A. 6 vertices; 7 edges B. 6 vertices; 9 edges C. 6 vertices; 8 edges D. 6 vertices; 6 edges

Mathematics

Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the line  above left by y = x + 4, and above right by y = - x2 + 10.

A.
B. 15
C.
D.

Mathematics

Solve.Calculate the gallons of water needed to fill this swimming pool. Round to the nearest gallon.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the LCM.x2 - 9x + 20, 4x - 20

A. 4(x - 4)(x + 5) B. 4(x + 4)(x - 5) C. 4(x + 4)(x + 5) D. 4(x - 4)(x - 5)

Mathematics