1. (25 points) Find the area of the region bounded by the given curves by two...
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
Find the area of the region between curves 1. Find Find the area of the region between curves by rotating about x-axis the region in the x,y- plane bounded below and above, respectively, by the curves: a. y = 2x2, y = 4x + 16 b. x = -y2 + 10, x = (y – 2) I
practice 1. Find the area of the region bounded by the curves. y= x2 - 4x, y = 2x
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
Class Exercise 2. Find the volume generated by rotating the region bounded by the given curves about the specified line. 4, t y2; x = 4. 2y (b) y sin and y = cos x, on the interval [,]; x = . (c) y = 22, y 0, x -1 , x = 2; y 3/ 3, y = 8, x - y 2; y = -2. 5. (d) x = y (e) y = 2x, y =; y =...
* 2. Find the area of the region bounded by the graphs of r = 3 - y2 and y=r-1, integrating (a) with respect to y; (b) with respect to r.
16 pts) 1. Determine the area of the region between the two curves y=x and y+2x by integrating over the x-axis. Hint: Refer the figure and note that you will have two integrals to solve by splitting the region between the two curves into two smaller regions. lo pl [6 pts) 2. Find the area of the region bounded by the curves y=12 - x, y=vx, and y20
Sketch the region enclosed by the given curves. Then, find its area by integrating with respect to y. x=4-y’, x= y² - 4
Find the area of the region bounded by the two curves . y = x2 - 1, y = -x + 2, x = 0, x = 1 · y = -x + 3, y = x, x = -1, x = 1 . y = {x} + 2, y = x + 1, x = 0, x = 2
(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