Multivariate Calculus

15 a-d

I activecalculusorg/mukt/5-11-7-Triple-Integrals.html#F_11_7_T1_Example_2 1 W. !! Apps @ Youtube Mo Gnal : Portal th Dashboard MIX @) Flapis zy swi Compris E w Bookof Find 3 MTH 203 d MTH 2:0 220 0gh 15. Consider the solid that lies between the paraboloids = = g(z, y) = c' + y" ms and and = = /(x, y) = 8 - 3x3 - 3y). er a. By eliminating the variable z, determine the curve of intersection between the two paraboloids, and sketch this curve in the zy-plane. er b. Set up, but do not evaluate, an iterated integral expression whose value determines the mass of the solid, integrating first with respect to z, then y. 1 ble then z. Assume the the solid's density is given by o(x, y, =) = 2149348+1- c. Set up, but do not evaluate, iterated integral expressions whose values Polar determine the mass of the solid using all possible remaining orders of integration, Used(s, do)= was the density of the solid. Surface d. Set up, but do not evaluate, iterated integral expressions whose values determine the center of mass of the solid. Again, assume the the solid's density is given by 6(z, y. =) = 14934 +1' e. Which coordinates of the center of mass can you determine without erical evaluating any integral expression? Why