Find the center of mass of a solid of constant density bounded below by the paraboloid z = x^2 + y^2 and above by the plane z = 100. Then find the plane z = c that divides the solid into two parts of equal volume. This plane does not pass through the center of mass.
The answers in the back of the book are:.
(a) x-bar=y-bar=z-bar=(8/3)
(b) c=2(sqrt(2))

Can someone check if i did this right since i really want to make sure it’s correct. if you do you so much

With this question substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t + 3) 4t+12 which statements are true? check all that apply. a. the value of both expressions when t =5 is 32. b. the two expressions are not equivalent. c. the value of both expressions when t=3 is 15. d. the value of both expressions when t=5 is 23. e. the two expressions are equivalent. f. the value of both expressions when t=3 is 24.

Campus rentals rents 2 and 3 bedrooms apartments for $700 ans $900 a month respectively. last month they had six vacant apartments and reported $4600 in lost rent. how many of each type of apartment were vacant?