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. =
,
=
Answer: B
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Use the even-odd identities to find the exact value of the expression. cos (-60°)
A.
B. -
C.
D. -
Write the number in scientific notation.0.00006402
A. 6.402 × 10-5 B. 6.402 × 105 C. 6.402 × 10-4 D. 6.402 × 104
Describe the transformations that produce the graph of g from the graph of f.f(x) = x2 ; g(x) = -(x - 3)2 + 6
A. Shift it 3 units to the right. Reflect it across the Shift it 6 units up.
B. Shift it 3 units to the left. Reflect it across the Shift it 6 units up.
C. Shift it 3 units to the right. Reflect it across the Shift it 6 units up.
D. Shift it 3 units to the right. Reflect it across the Shift it 6 units down.
Let a and b represent positive real numbers. Explain why the triangle with vertices at A(a,0), B(0,a) and C(0,0) is an isosceles right triangle.
What will be an ideal response?