Do the following tasks using Mathematica. y = tan(x) y = 2 sin (x) = X...

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Do the following tasks using Mathematica. y = tan(x) y = 2 sin (x) = X 3 x = 3 (a) Plot the curves in a single graph for -2 < x < 2 and shade the bounded region only. Then find the area of the bounded region using Area| ] func- tion. (b) Find the length of the entire curve y : Vx – x2 + sin-(V) Hint: Determine the Domain and Range of the function first. Do not use the built-in ArcLength[ ] function. (c) Find the surface area obtained by rotating the curve i. y = 7x , 0 < x<1 about x axis. ii. x = 9y +1, 0 < x < 2 about y axis. Do the following tasks using Mathematica. y = tan(x) y = 2 sin (x) = X 3 x = 3 (a) Plot the curves in a single graph for -2 < x < 2 and shade the bounded region only. Then find the area of the bounded region using Area| ] func- tion. (b) Find the length of the entire curve y : Vx – x2 + sin-(V) Hint: Determine the Domain and Range of the function first. Do not use the built-in ArcLength[ ] function. (c) Find the surface area obtained by rotating the curve i. y = 7x , 0 < x<1 about x axis. ii. x = 9y +1, 0 < x < 2 about y axis.