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) = 6y


(0, 0.57)

Mathematics

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Solve. = 5

A. 5
B. 25
C.
D.

Mathematics

Use the rules for exponents to rewrite the expression and then evaluate the new expression. (2-2)0 

A. 1
B.
C. 0
D. -4 

Mathematics

The change from religious to lay teachers at Roman Catholic schools has been partly attributed to the decline in the number of women and men entering religious orders. The percent of teachers who are lay teachers is given by  where t is measured in decades, with

style="vertical-align:middle;" /> corresponding to the beginning of 1960. ? Find the year when the percent of lay teachers was increasing most rapidly. ? A. 1985 B. 1962 C. 1976 D. 1986 E. 1989

Mathematics

Graph the function.y = 9 - 8

A.

B.

C.

D.

Mathematics