Question Solved1 Answer Question 1 Find the area of the region that is bounded by the curve f(x) = x2 + 2x + 1 and the line g(x) = x + 1 over the interval [-2,0] . Enter your answer as an exact answer. . Provide your answer below: A= units? Question 2 Find the area of the region pictured below that is bounded by the functions f(x) = x2 - 6x + 8 and g(x) = 18 - 3x and the x-axis when integrating with respect to y. Enter an exact answer. 64 5 4 3 2 1 -7 -6 -5 1 3 5 -4-3-2-1 0 -1 -2 (3) 6 Provide your answer below: units III Question 3 Find the volume of the solid whose base is a triangle with vertices (0,0), (0, 3), and (2,0). Slices perpendicular to the xy-plane are semicircles. Enter answer using exact values. Provide your answer below: V= units

S5OSXH The Asker · Advanced Mathematics

Transcribed Image Text: Question 1 Find the area of the region that is bounded by the curve f(x) = x2 + 2x + 1 and the line g(x) = x + 1 over the interval [-2,0] . Enter your answer as an exact answer. . Provide your answer below: A= units? Question 2 Find the area of the region pictured below that is bounded by the functions f(x) = x2 - 6x + 8 and g(x) = 18 - 3x and the x-axis when integrating with respect to y. Enter an exact answer. 64 5 4 3 2 1 -7 -6 -5 1 3 5 -4-3-2-1 0 -1 -2 (3) 6 Provide your answer below: units III Question 3 Find the volume of the solid whose base is a triangle with vertices (0,0), (0, 3), and (2,0). Slices perpendicular to the xy-plane are semicircles. Enter answer using exact values. Provide your answer below: V= units
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Transcribed Image Text: Question 1 Find the area of the region that is bounded by the curve f(x) = x2 + 2x + 1 and the line g(x) = x + 1 over the interval [-2,0] . Enter your answer as an exact answer. . Provide your answer below: A= units? Question 2 Find the area of the region pictured below that is bounded by the functions f(x) = x2 - 6x + 8 and g(x) = 18 - 3x and the x-axis when integrating with respect to y. Enter an exact answer. 64 5 4 3 2 1 -7 -6 -5 1 3 5 -4-3-2-1 0 -1 -2 (3) 6 Provide your answer below: units III Question 3 Find the volume of the solid whose base is a triangle with vertices (0,0), (0, 3), and (2,0). Slices perpendicular to the xy-plane are semicircles. Enter answer using exact values. Provide your answer below: V= units
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Question 1{:[f(x)=x^(2)+2x+1],[=>(x+1)^(2)],[g(x)=x+1]:}{:[" Area of bounded Rogion will be "],[int_(-2)^(-1)[f(x)-gx)dx+int_(-1)^(0){g(x)-f(x)}dx],[=>int_(-2)^(-1){(x^(2)+2x+1)-(x+1)}dx+int_(-1)^(0){(x+1)-(x^(2)+2x+1)}dx],[=>(x^(3))/(3)+(x^(2))/(2)]_(-2)^(-1)+((-x^(3))/(3)-(x^(2))/(2))_(-1)^(0)],[=>((-1)/(3)+(1)/(2))-((-8)/ ... See the full answer