#3. Set up the iterated integral to evaluate the triple integral (x² +, yz) dV, E where E is the solid bounded by the paraboloid z = x2 + 4y² and the plane z = 9. Do not evaluate the integral. (a) Use the order of integration dxdy dz (b) Use the order of integration dy dz dx

Find the integral of the function f(x,y, z) = x² + y – 2z surface of the unit sphere. over the

f(x, y) = x²ex² and let R be the triangle bounded by the lines x = 5, x = y/2, and y = x in the xy-plane. R (a) Express f f dA as a double integral in two different ways by filling in the values for the integrals below. (For one of these it will be necessary to write the double integral as a sum of two integrals, as indicated; for the other, it can be written as a single integral.) fRf dA = få fd f(x,y) d y where a = 0 d = 2x And f f dA = √₂ fª f(x, y) d R where a = , m = and q = , b = , b = d x 5 d n = + fm f f(x,y) d (b) Evaluate one of your integrals to find the value of ff dA. √ Rf dA = C = X " C = , p = d and d =