for the first image attach please do the calculations similar to the second image attachplease please answer every correctly also this is not a graded question I would really appreciate if you would answer [10] (2) GIVEN: The square, ƏR, in the in the xy - plane with vertices A,B,C,D given byA = (0,0), B = (1, 1), C = (0, 2), D=(−1,1)Let R be the (finite) region of the xy - plane enclosed by ƏR,and ƒ:R → R, ƒ (x,y) = √√y² — x²FIND: f(x,y) dxdyHINT: Consider T-¹(x, y) = (u, v),U =x+y-x+yAdd extrapages, asneeded.DR =ABX=TT-¹1VP (x,y) T¹(x, y)ABCFill out this tableDP*A*B*C*D*R* = NMake, R*U [10] (2) GIVEN: The parabola I: y = 1-x²The path c is oriented from A = (0, 1) to B=(1,0)on, I'₁.I' is the arc of I, from A to B.EVALUATE: The scalar integral: x dsMETHOD:[: ĉ = (x, 1-x²), xe[0,1]⇒ c'= (1, -22)⇒> ||ć´|| = √/1+4x²in fall = [x (2+42²) ³4:.11(1A&•3[ (² + 4x*)*|*1/2 [5√5-1]0rBItsimportanttosimplifythe finalanswer.

fx,y=y2-x2A=0,0, B=1,1, C=0,2, , D-1,1

[10] (2) GIVEN: The square, OR, in the in the xy-plane with vertices A,B,C,D given by A = (0,0), B = (1, 1), C = (0,2), D=(-1,1) Let R be the (finite) region of the xy - plane enclosed by ƏR, and f: R — → R, f(x,y) = √√√y² - x² f(x,y) dady P (x,y) FIND: HINT: Consider T-¹(x, y) = U (Add extra pages, as needed. D R = A B X v = (u, v), x+y ==x+y T T-¹ v A B C D Fill out this table T¹(x,y) P* A* B* C* D* R* Make, R* = U