K Evaluate the integral. Graph the region of integration, reverse the order of integration, then evaluate the integral with the order reversed. 1 1 - y 2 J J yvx dx dy 0 O A. O B. O C. D. Ay Ay Ay 2- 1- A 1- X NJ N- Evaluate the integral. 1 1 - yz [ Jynx dxdy =[ Solve x = 1 - y as a function of y. Type in the correct limits of the integrals. 00 J J yv x dy dx 00 Evaluate the integral with the order of the limits reversed. 1 1 1 - X I Jynx dy dx = A new exhibit hall at a convention center has a floor bounded by x = 0, x = 300, y = - 100 + 0.03x, and y = 100 -0.03x. The ceiling lies on the graph of C(x,y) = 100 -0.15x. (Each unit on the x, y, and z axes represents one foot.) Find the volume of the exhibit hall (in cubic feet). The volume of the exhibit hall is | cubic feet. (Simplify your answer.)Graph the region R bounded by the graphs of the indicated equations. Describe R in set notation with double inequalities, and evaluate the indicated integral. y= x +7, y= 0, x=0, x =7; V4+x+y dA R Choose the correct graph below. O A. O B. O c. OD. 16 Ty Ay 16- R X 16 16 Describe R in set notation with double inequalities. R= {(X,y)I SXS. sys Set up the integral and evaluate. SV 4+xty dy dx =Find the volume of the solid under the graph of f(x,y) over the region R bounded by the graphs of the indicated equations. Sketch the region R. The solid does not have to be sketched. f(x,y) =2-x - y; R is the region bounded by the graphs of x + y = 2, y= 0, x=0 Sketch the region R. Choose the correct graph below. O A. O B. O c. OD. Ay 3 Choose the correct integral below. O A. V= JJ (-2-x-y) da R OB. V= JJ (-2+x- y) dA R Oc. V= (2 + x+ y ) dA R OD. V= JJ (2-x- y) dA R The volume of R is . (Simplify your answer.)