Write as an iterated integral in the order dydxdz, but do not evaluate. SSD (x2 +...
Write as an iterated integral in cylindrical coordinates in the order dOdzdr, but do not evaluate: +(x + y²)zdzdxdy
Evaluate the iterated integral. 12 [[(x2 - y2) dy dx J-13-2
Evaluate the iterated integral Sa Wa?-? (x2 + y2); dxdy that is given in cartesian coordinates by converting to polar coordinates.
5. (2 points) Let S be the solid inside both x2+y2 = 16 and x2+y2 + z2 = 32. Consider (a) Write an iterated integral for the triple integral in rectangular coordinates. (b) Write an iterated integral for the triple integral in cylindrical coordinates. (c) Write an iterated integral for the triple integral in spherical coordinates. (d) Evaluate one of the above iterated integrals. 5. (2 points) Let S be the solid inside both x2+y2 = 16 and x2+y2 +...
Set up iterated integrals for both orders of integration. Then evaluate the double integral using the easier order. ∫∫DydA, D is bounded by y = x -30; x = y2
for the iterated integral sin(x^2) rewrite the integral reversing the order of integration and evaluate the new integral
[7pts] Evaluate the iterated integral. 2 1 2(x + y) dydx 0 x2
Write the given iterated integral as an iterated integral with the order of integration interchanged. 11 15-Y dx dy O 15 - X dy dx 11 i 15- X dy dx 15-X dy dx 11 15-X dy dx
ST sy +27*dylv Sketch the region R of integration and write as in iterated integral in the order dxdy. Do not evaluate the integral.
a) Write the iterated integral in rectangular coordinates that gives the surface area of the graph of x + y2 + 2z = 1, R = {(x,y) x² + y² 1} b) Evaluate this integral by changing to polar coordinates.