1 50804862342... 56 Advanced Calculus 15-18 Evaluate the double integral in two ways using iterated integrals: (a) viewing Ras a type I region, and (b) viewing R as a type II region. . 15. x? dA; R is...

Extracted text: 1 50804862342... 56 Advanced Calculus 15-18 Evaluate the double integral in two ways using iterated integrals: (a) viewing Ras a type I region, and (b) viewing R as a type II region. . 15. x? dA; R is the region bounded by y = 16/x, y = x, and x = 8. 16. xy dA; R is the region enclosed by y = 1, y = 2, x = 0, and y = x. 17. - 2y) dA; R is the region enclosed by the circle x² + y? = 1. 18. y dA; R is the region in the first quadrant enclosed between the circle x? + y? = 25 and the line x + y = 5. 29-32 Use double integration to find the area of the plane re- gion enclosed by the given curves. I 29. y = sin x and y = cos.x, for 0 < x="">< x/4.="" 30.="" у?="" —="" —х="" аnd="" 3y="" -="" х="" 3="" 4.="" 31.="" y²="9" –="" x="" and="" y²="9" –="" 9x.="" 32.="" y="coshx," y="sinh" x,="" x="0," and="" x="1." 19-24="" evaluate="" the="" double="" integral.="" i="" 19.="" x(1+="" y?)-1/²="" da;="" r="" is="" the="" region="" in="" the="" first="" quadrant="" r="" enclosed="" by="" y="x²," y="4," and="" x="0." 20.="" x="" cos="" y="" da;="" r="" is="" the="" triangular="" region="" bounded="" by="" the="" r="" lines="" y="xr," y="0," and="" x="A." xy="" da;="" r="" is="" the="" region="" enclosed="" by="" y="/x," y="" -="" -="" ov="" ov="" ad="" y="0." 22.="" x="" da;="" r="" is="" the="" region="" enclosed="" by="" y="sin¬'" x,="" r="" x="1/v2," und="" y="">