Find the mass and the center of mass of the lamina occupying the region R, where R is the triangular region with vertices (0 0), (5, 2), and (10, 0), and having the mass density p(x, y) = x.
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Mathematics
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Find the area of the specified region.Inside the circle r = -8 cos ? and outside the circle r = 4
A. 8?
B. 
?
C. 
(2? + 3
)
D. 
(4? - 3
)
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Change the complex number to rectangular form.(cos 20° + j sin 20°)
A. 0.940 + 0.342j B. 20.000 + j C. 0.408 + 0.913j D. 0.342 + 0.940j
Mathematics
Find an equation of the parabola that satisfies the given conditions.Focus (-4, -1), directrix y = 7.
A. x2 + 8x + 5y - 56 = 0 B. x2 + 14x + 16y - 56 = 0 C. x2 + 8x + 8y - 64 = 0 D. x2 + 8x + 16y - 32 = 0 E. x2 + 14x + 5y - 32 = 0
Mathematics
Find the indicated cross product.v = -4i - 3j, w = -6i + 6j - 4kFind w × v.
A. -16i + 12j + 42k B. -12i + 16j + 42k C. -24i - 24j - 48k D. 42i + 12j - 12k
Mathematics