Suppose a water tank is to be constructed by rotating the parabola y = ² about the y-axis from x=0 to x=2 (where x is in feet). Which integral represents the volume of water this tank can hold? (There may be zero, one, or two solutions. This volume can be computed using either the slicing or shell method.) (A) S²x²dx (B) 2π fy²dy (C) ²x² dx (D) 4π fo y dy (E) S² x¹ dx So y dy (G) / S²x¹ dx (H) 4π fy² dy (1) π S x³ dx (F) 2π
Suppose a water tank is to be constructed by rotating the parabola y = ² about the y-axis from x=0 to x=2 (where x is in feet). Which integral represents the volume of water this tank can hold? (There may be zero, one, or two solutions. This volume can be computed using either the slicing or shell method.) (A) S²x²dx (B) 2π fy²dy (C) ²x² dx (D) 4π fo y dy (E) S² x¹ dx So y dy (G) / S²x¹ dx (H) 4π fy² dy (1) π S x³ dx (F) 2π
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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Question
Please solve the following calc 2 question. Follow instructions.
Warning: Guessing incorrectly will cancel out from guessing correctly.
With this in mind, only select the integrals that you are certain represent the volume of the water tank. Do not guess.
Transcribed Image Text:1
Suppose a water tank is to be constructed by rotating the parabola y = ² about the y-axis from x=0 to x=2 (where x is in feet).
Which integral represents the volume of water this tank can hold? (There may be zero, one, or two solutions. This volume can be computed using either the slicing or shell
method.)
(A) / S²x² dx
(B) 2π f² y² dy
(C) / S²x² dx
(D) 4π fr y dy
(E) / S²x² dx
(F) 2π fy dy
(G) // S² x ² dx
(H) 4π fy² dy
S³² x³ dx
(J) None of the given options represent the volume of this tank.
π
U
U
A
F
B
I
J
H
C
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