Question
  1. Let R be the region bounded by the y-axis and the graphs  and  as shown in the figure to the right.

Let R be the region bounded by the y-axis 4. and the graphs y = 1+x2 and y 4-2x 2x y = 4 as shown in the figure to the right.

The region R is the base of a solid. Find the volume of this solid, assuming that each cross section perpendicular to the x-axis is:

a) a square.

b) an equilateral triangle.  

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Answer #1

Saoe= 4-2x- 1+x2 14x (A aSamana 2 Anaag Croつ sechm: baoe- (4-27-P (4-8)-2(-27 14X2/tX (2x-4) t X ナーXム 173x- 14A 「ナメ +41-8xう 23メナ2 A- 1+M2 22 AC 1t 2 3842 = AメナAナ凸 So A =3, AtB-2- Bニー) So B22 + +x2 So Amea g Cros decim A(*)- (2メーリ ナyメ-8xーナ 2 ナ8× ナy 148 dx let y1+x2 du= 2xdメ 2 14x 4 An lu) 14 let X tan8 7 Seclo do do see9 Seels do +stento)2 1 2 1 2Gngan+ So + ニメ +ta 2 (0+2)So vdumo GtDe (4) htalt E 3M0m)1248n+aa) +1+n 3ta (1) 1499 8-197

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