Answered: s(x) = - (x – 8)(x – 15) 20 - g(x) = -…

s(x) = - (x – 8)(x – 15) 20 - g(x) = - + 30 (10,15) 15 (10, 15), V Label • (14,9) V Label | (14, 9). P. -10 -5 10 20 25 30 35

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 5E

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Question

1a: A 3D solid whose base is T is formed from the intersection of f and g. It has cross-sections that are SQUARES perpendicular to the x asis. Make a sketch of the region with the cross-sections, find the volume of the 3d solid, then write an integral to represent the volume and evaluate.

1b: A 3D solid whose base is T is formed from the intersection of f and g. It has cross-sections that are SEMI-CIRCLES perpendicular to the x asis. Make a sketch of the region with the cross-sections, find the volume of the 3d solid, then write an integral to represent the volume and evaluate.

+
V f{x) = - (x – 8)(x – 15)
20
g(x) = -* + 30
(10,15)
15
(10, 15).
V Label:
(14,9)
V Label:
10-
(14, 9)
P.
-10
-5
10
20
25
30
35

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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