Question

Sketch the region enclosed by the curves and compute its area as an integral along the x- or y- axis.

Sketch the region enclosed by the curves and compute its area as an integral along the e- or y-axis. (a) 1 = \y, r = 1 - \yl. (b) 1 = 2y, 2 + 1 = (y - 1)2 21 c) y = cos.r, y = cos 2.c, I=0,2 = 3

Answer 1

. (Q: will be (0.5) = 0.5 ot 1,0) X n=lyl n= I-lyl The region enclosed will asquare of side & night triangles 1 * x W xos has = 1149. units bung Integrals IS (1-4-4) dy. (ligion is symmetric about x-axiu) 15 (1-2y) dy :ly- y") -> (0.5 -0.05) = 2(0.25) = OVER YI u=1-ry n=y Az 0 SU
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