Solve the problem.Find the center of mass of the region of constant density bounded by the paraboloid 
and the xy-plane.
A. 
= 0, 
= 0, 
= 
B. 
= 0, 
= 0, 
= 
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Answer: B
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Solve the problem.A right triangular plate of base 4 m and height 2 m is submerged vertically, as shown below. Find the force on one side of the plate if the top vertex is 1 m below the surface. 
4 m
A. 52,000 N B. 78,000 N C. 170,000 N D. 85,000 N
Write the formula for Newton's method and use the given initial approximation to compute the approximations x1 and x2. Round to six decimal places.f(x) = e-x - 
; x0 = ln 2
A. xn+1 = 
; x1 = 2.209391, x2 = 2.322760
B. xn+1 = xn + 
; x1 = 1.209391, x2 = 1.322760
C. xn+1 = xn - 
; x1 = 1.319391, x2 = 1.212760
D. xn+1 = xn + 
; x1 = 0.709391, x2 = 0.822760
Use an Euler diagram to determine whether the argument is valid or invalid.Some investments are risky.Real estate is an investment.? Real estate is risky.
A. Valid B. Invalid
Provide an appropriate response.Solve for the variable: 
= 
A. - 
B. - 
C. - 
D. - 