5. (15 points) Write the integral representing the area of the region a< x2 + y2...
5. (15 points) Write the integral representing the area of the region a? < x2 + y2 < b> and below the x in polar coordinates.(DONOT EVALUATE INTEGRAL) line y
5. (15 points) Write the integral representing the area of the region a? < x2 + y2 <b2 and below the line y = x in polar coordinates. (DONOT EVALUATE INTEGRAL)
5. (15 points) Write the integral representing the area of the region a? < x2 + y2 sb and below the line y = x in polar coordinates (DONOT EVALUATE INTEGRAL)
5. (15 points) Write the integral representing the area of the region o? < x2 + y2 < b2 and below the line y = x in polar coordinates (DONOT EVALUATE INTEGRAL)
- (15 points) Write the integral representing the area of the region al < x2 + y2 < b2 and below the line y = x in polar coordinates. (DONOT EVALUATE INTEGRAL)
5. (15 points) Write the integral representing the area of the region al S x2 + y2 < b2 and below the = x in polar coordinates.(DONOT EVALUATE INTEGRAL) line y
5. (15 points) Write the integral representing the area of the region al < x2 + y2 < b2 and below the line y = x in polar coordinates.(DONOT EVALUATE INTEGRAL) 6. (10 points) Express the triple integral | [ f(x, y, z)dV as an iterated integral in cartesian coor- dinates. E is the region inside the cylinder x2 + y2 = 1, above the xyplane and below the plane x + y + z = 2. (DO NOT EVALUATE...
3. Let D be the region in the first quadrant lying inside the disk x2 +y2 < 4 and under the line y-v 3 x. Consider the double integral I-( y) dA. a. Write I as an iterated integral in the order drdy. b. Write I as an iterated integral in the order dydx c. Write I as an iterated integral in polar coordinates. d. Evaluate I
5 ve 6. Soru Dry - xdA over the triangle with vertices ( -1,0), (0,0) and (0,1) changing the variables by u = y - x and v = y + x. (DONOTEVALUATE INTEGRAL) 1 w 5. (15 points) Write the integral representing the area of the region al < x2 + y2 < band below the line y = x in polar coordinates.(DONOT EVALUATE INTEGRAL) ,y,z) as an iterated integral in cartesian coor- dinates. E is the region inside...
4. (15 points) Inside the region of R2 given by r2+y2 < 3 and x > 1, find the rectangle of maximal area whose sides are parallel to the x and y axes
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