3. (Sections 13.1-13.5) Let R be the triangle in R² with vertices (1, 1), (2, 3) and (4,2). (a) Sketch the region R. Fin

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3 Sections 13 1 13 5 Let R Be The Triangle In R With Vertices 1 1 2 3 And 4 2 A Sketch The Region R Fin 1 (86.7 KiB) Viewed 27 times

3. (Sections 13.1-13.5) Let R be the triangle in R² with vertices (1, 1), (2, 3) and (4,2). (a) Sketch the region R. Find the points of intersection of the line and the circle and indicate them on your sketch. (4) (b) Is R a Type I region? If yes, describe it as a Type I region. If not, describe it as a union of Type I regions. Use set builder notation. (3) (c) Is R a Type II region? If yes, describe it as a Type II region. If not, describe it as a union of Type II regions. Use set builder notation. (3) (d) Calculate the integral JJ₁₁ R x + y dA i. by using the order of integration dy dx ii. by using the order of integration dx dy. (8)