16 Sketch the domain of integration and evaluate the given iterated integral 1 -dxdy (Solve the...
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;
Sketch the region of the integral and evaluate the iterated integral: Slot V1 + x^dxdy.
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.
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
Sketch the region of integration, reverse the order of integration, and evaluate the integral. 24 In 8 in 8 S s 5 ex?dxdy 0 y/2 Choose the correct graph below. ОА. OB. Ос. Ay 24 In 8 | 24 In 8 in 8 Vin 8 04 0 Vin 8 0 2ſir What is an equivalent double integral with the order of integration reversed? Click to select your answer(s).
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.
Evaluate the double integral. (x2 y)dxdy 5. 6. Use (repeated) integration by parts to find 4x cos 2xdx. Evaluate the double integral. (x2 y)dxdy 5. 6. Use (repeated) integration by parts to find 4x cos 2xdx.
1. (4 points) Evaluate the double integral on the given domain D xy where D={(x,y):25x54,15ys3} 2. (4 points) Evaluate the double integral on the given domain S dxdy © 1(x2 + y2)3 where D=(x,y):15x2 + y2 <4, yzo}
2. (a) Sketch the region of integration and evaluate the double integral: T/4 pcos y rsin y dxdy Jo (b) Consider the line integral 1 = ((3y2 + 2mº cos x){ + (6xy – 31sin y)ī) · dr where C is the curve connecting the points (-1/2, 7) and (T1, 7/2) in the cy-plane. i. Show that this line integral is independent of the path. ii. Find the potential function (2, y) and use this to find the value of...