practice 1. Find the area of the region bounded by the curves. y= x2 - 4x, y = 2x
Find the area of the region bounded between the curves y = x and y = 2 – x2 by: a. Integrating with respect to x Integrating with respect to y
(i) Find the area of the region bounded by the curves x = y 5y+6 and x =-y +y+6 Q.2 A. (1) Find the area of the region bounded by the curves x = y2 - 5y +6 and x=-y+y+6 (2 Marks) In(tan x) (ii) Evaluate lim (3 Marks) sinx-cosx B. (1) Evaluate |fxsin(xy dydx (3 Marks) X- (1) Evaluate lim * (11) Evaluate tan lim- (2 Marks) 2 Marks) - tan
Question 3: Find the area of the region bounded by the curves y = cos (x), y = 1 – cos (x), x = 0, and x = ſt.
show all work 1. Find the area of the region bounded by the curves below. Sketch a graph of the region first. a. x = y2, x = VD, y = 0 b. y = x2 – 4, y == x2 + 4
[4] Sketch the region bounded above the curve of y = x2 - 6, below y = x, and above y = -x. Then express the region's area as on iterated double integral ans evaluate the integral. -4 -3 -2 -1 0 1 2 3 4 [5] Find the area of the region bounded by the given curves x - 2y + 7 = 0 and y2 -6y - x = 0.
1. (25 points) Find the area of the region bounded by the given curves by two methods: (a) integrating with respect to x, and (b) integrating with respect to y 4x + y2 = 0, y = 2x + 4
Find the volume of the solid created by revolving the region bounded by the curves y=x2 and x2+y2= 1 about the x-axis.
2 10. Find the area of the region bounded by the curves y= V5 – x and y = Vä
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