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

Mathematics

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Use the even-odd identities to find the exact value of the expression. cos (-60°)

A.
B. - 
C.
D. - 

Mathematics

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

Mathematics

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.

Mathematics

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?

Mathematics