The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of mass. if the object has density rho(x, y,z) at the point (x, y,z) and occupies a region w, then the coordinates (x, y,z) of the center of mass are given by

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assume x, y, z are in cm. let c be a solid cone with both height and radius 3 and contained between the surfaces z=sqrt{x^2+y^2} and z=3. if c has constant mass density of 2 g/cm^3, find the z-coordinate of c's center of mass.

45 minutes

step-by-step explanation:

x= 149. 24+7=31. 180-31=149

your welcome

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)