20 (4.) Calculate (F. dr, where F = (y² + z², x² + z², x² + y²) and C is the boundary of the triangle cut C from the plane 2x+y+z = 1 by the first octant, travelled counterclockwise when viewed from above. Stoker: Fier SSAXE.ds (190) (0,1,0) y=2x+1 -594 = z=1-2x-4 <2,1,1> ی DXF dx dy x²+Z² = <24-27, 22-2x, 2x-24> Region in хурвые =) =) √x F¬ds = [2 [2y-22] + 2Z-2x + 2x-2y] dA SSSS (44 +4x-2) dy dx 2 2 • (22 +419-23)112 +4ху-24 0 = Σ (1-2x) + 2x (1-2x) - (1-2x)) = (45-47+27 9(25-22)da = -xx-x√2x-2y) dd on surface (2y-2 [1-2x-9]) d (24 -2+4x+2y)dA (4y+4x-2)dA ½ 1-2× SS (44+4x-2)dy dx 00 dx -*x +4/2² + xx-/4x² +1 + xx] dt ' (od x

Please do not provide answer in image formate, thank you

Mr. O'Dell and Mr. Johnson begin running laps around a one mile track at the same time. Mr. O'Dell completes a mile every 6 minutes and Mr. Johnson completes a mile every 8 minutes. How long will it take for them both to finish a lap at the same time?

An art museum owns a painting that it would like to reproduce in reduced size onto a 24-inch by-36-inch poster. The painting is 85 inches by 140 inches. Give your recommendation for the size of the reproduced painting on the poster- how wide and long do you suggest that it be? Draw a scale picture showing how you would position the reproduced painting on the poster. Explain your reasoning.

I painted a picture that is 4 inches longer than it is wide. If I put a I-inch frame around my picture, the area increases by 48 square inches. What are the dimensions of my picture?

Please explain how to get to the answer in-depth and also help me master the concept for future problems.