Find the area of the region enclosed by
y = (x + 2)^2, y = 1/x + 2 , x = − 3/2 and x = 1.
Find the area of the region enclosed by the curves: x = -sec^2 y, x = sec^2 y, y = 0, y = pi/4 Using the method of cylindrical shells to find the volume of the solid that results when the region enclosed by the curves is revolved around the y axis. y = sqrt (x+1), y = 1, x = 1 y = 3 sqrt x, y =0, x =1 Find the volume of the solid that results when...
Find the area of the region enclosed by the curves x = 5y2, x = 0, and y = 1. The area of the region enclosed by the curves is (Type a simplified fraction.)
Find the area of the region in the XY-plane enclosed by y = 3−x and x = 3y−y . In doing so, sketch the region (hint: remember that the graph of a quadratic is a parabola), and be sure to show all your work.
please add graph if any
(b @ Find the area of the region enclosed by y=x andy= 5x3². up the Intergral representing the volume of the solid obtained by rotating about the masis the region bounded by y=2+1 and y=3-x² about the x-axis set
3. Find the area of the shaded region enclosed by the following functions y = 2 - 1x1 y = -1
Find the area of the region enclosed by the following curves. (10 Puan) y = x2 – 2x + 2 and y = x (y = x2 – 2x + 2 ve y = x) O 1 3
2. Find the area of the region enclosed by 11x24V3xy + 7y2 - 1 = 0 Hint Use the change of variable x u cos 0 - v sin 0 ,y = u sin 0 v cos 0 with suitable 0 .
2. Find the area of the region enclosed by 11x24V3xy + 7y2 - 1 = 0 Hint Use the change of variable x u cos 0 - v sin 0 ,y = u sin 0 v cos 0...
Question 1 Find the area of the region enclosed by the curves: y = vx – 1 X – y = 1 Enter an exact number as your answer (not a decimal)
4) Determine the area of the region enclosed by y = x^2 and y = 8x . Integrate with respect to x. 5) Using the same functions as Question 4, determine the area by integrating with respect to y.
3. Find the total area of the region enclosed by the curve y=xsin x and the x-axis from (0,37). The graph is shown below. Show all of your work! (Hint: You will need multiple integrals here)! (8 pts)