Find the center of mass of a thin plate of constant density covering the given region.The region cut from the first quadrant by the circle x2 + y2 = 64

A.  = 0,  = 
B.  =  = 
C.  = 4,  = 4
D.  =  = 


Answer: B

Mathematics

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Given that m varies jointly with the square of n and the square root of q, and  when  and

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

Mathematics

Graph the equation.r = 6 sin ?

A.

B.

C.

D.

Mathematics

Solve the problem.An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers stand 80 inches apart. At a point between the towers and 28 inches along the road from the base of one tower, the cable is 1.44 inches above the roadway. Find the height of the towers.

A. 18 in. B. 15.5 in. C. 16.5 in. D. 16 in.

Mathematics

Sixty liters of a 43% acid solution is obtained by mixing a 28% solution with a 42% solution.Use a graphing utility to graph the two given equations. Let x and y represent the amounts of the 28 % solution and 42% solution. As the amount of the 28% solution increases, how does the amount of the 42% solution change? ? ? ?

A. ?

?

Increases


B. ?

?

Decreases


C. ?

?

Decreases


D. ?

?

Decreases


E. ?


Increases


Mathematics