Sketch the region of the integral and evaluate the iterated integral: Slot V1 + x^dxdy.
16 Sketch the domain of integration and evaluate the given iterated integral 1 -dxdy (Solve the question in the answer sheet. Insert the result in the text box.) The value of the double integral:
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.
Evaluate the iterated integral Sa Wa?-? (x2 + y2); dxdy that is given in cartesian coordinates by converting to polar coordinates.
15. (15 points. (a) Sketch the region of integration for the iterated integral . Lzi?dz dy. (b) Evaluate the above iterated integral by reversing the order of integration.
6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration and evaluate the iterated integral 2 r2 JC 10 (y+xy-2) dxdy. 6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration and evaluate the iterated integral 2 r2 JC 10 (y+xy-2) dxdy.
Sketch the solid region whose volume is given by the iterated integral.
MT212 HOMEWORK 1 1) Sketch the domain of integration and evaluate the given integral. | V1 – y4 dydx 2) Sketch the region R and evaluate Il cos(x) cos(y) cos(2) av 0 and over the tetrahedron defined by x>0, y 20, 2 x + y + z si
please write neatly and no script! 7. (10 points) For the following iterated integral, sketch the region of integration, then switch the order of integration and evaluate the new iterated integral. 1 •1/2 SL e-22 dx dy. y/2
Sketch the domain of integration and evaluate the given iterated integral 9 + 9.4 (Solve the question in the answer sheet. Insert the result in the text box.) The value of the double integral;
6. Set up, but do not evaluate, an iterated integral that gives the volume of the solid region that lies below the paraboloid z =エ2 + V2 and above the region in the zy-plane bounded by the curves-8a2 and i-z. 6. Set up, but do not evaluate, an iterated integral that gives the volume of the solid region that lies below the paraboloid z =エ2 + V2 and above the region in the zy-plane bounded by the curves-8a2 and i-z.