2. Sketch the region of integration, and then evaluate the integral by first converting to polar...
Sketch the given region of integration and evaluate the integral over Rusing polar coordinates Sle**** da: R=(x? #y? 54% R Sketch the given region of integration R. Choose the correct graph below. OA OB Oc OD 55 - A- R (Type an exact answer
Evaluate the following double integral by converting to polar coordinates. This question requires a graph. 4 V32-x2 3yevz**y* dydx 0 x
Using polar coordinates, evaluate the integral so Som x(x2 + y²) dydx. Be careful to check that the limits of integration you use correspond to the region under consideration.
Evaluate the iterated integral by converting to polar coordinates points) | sin(x² + y2)dydx T SHARE Y COMO
Sketch the region of integration and evaluate the following integral. ∫∫R6xydA; R is bounded by y = 3- x, y = 0, and x = 9 - y2 in the first quadrant.
Q#2 Sketch the region of integration and use polar coordinates to find the value of the integral : a Va2-x2 r?+y2 1+(x2+y232 dy dr. 0 -Na2-x2
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
9. Sketch the region of integration, then evaluate the integral by first changing the order of integration. 4 2 o V+1 dydt
number 3 part B Problem 3. Sketch the given region of integration R and evaluate the integral over R using polar coordinates, sexy dA; R = {(x, y):x? +y? 59} 5 dA; R = {(r, 0):1 srs2,0 se sa R1+ Problem 4. Sketch each region and use integration to find its are
6. (4 pts) Consider the double integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a) Sketch the region of integration R in Figure 3.(b) By completing the limits and integrand, set up (without evaluating) the integral in polar coordinates. 2 1 2 X -2 FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral V2 2-y2 (2? + y) dA= (32 + y) dx dy + (x2 + y) dx dy. 2-y? (a) ketch the region of integration R in Figure 3. (b) By completing...