A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the glass to a radius of 4 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 7 cm above the top of the glass? Use 1000 kg/m³ for the density of orange juice and 9.8 m/s² for the acceleration due to gravity. Find the cross-sectional area A(y) of a horizontal slice at y. Use the center of the bottom of the glass as the origin in your coordinate system. Choose the correct answer below. A. A(y)=x y+0.48 12 OB. A(y) = (y +0.48) OC. A(y) = x(y+0.48)² OD. A(y)=x Set up the integral that gives the work required. Use the center of the bottom of the glass as the origin. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) 0.12 OA. OB. (y+0.48 12 0 (1000)(9.8) dx y+0.48 12 (0.5-y) dy

A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the glass to a radius of 4 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 7 cm above the top of the glass? Use 1000 kg/m³ for the density of orange juice and 9.8 m/s² for the acceleration due to gravity. Find the cross-sectional area A(y) of a horizontal slice at y. Use the center of the bottom of the glass as the origin in your coordinate system. Choose the correct answer below. A. A(y)=x y+0.48 12 OB. A(y) = (y +0.48) OC. A(y) = x(y+0.48)² OD. A(y)=x Set up the integral that gives the work required. Use the center of the bottom of the glass as the origin. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) 0.12 OA. OB. (y+0.48 12 0 (1000)(9.8) dx y+0.48 12 (0.5-y) dy

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

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Not sure about (0.5-y), but I keep getting that in my calculation.

A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the glass to a radius of 4 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work
is required to drink all the juice through a straw if your mouth is 7 cm above the top of the glass? Use 1000 kg/m³ for the density of orange juice and 9.8 m/s² for the acceleration due to gravity.
3
Find the cross-sectional area A(y) of a horizontal slice at y. Use the center of the bottom of the glass as the origin in your coordinate system. Choose the correct answer below.
A. A(y)=x
(y+0.48
12
OB. A(y) = (y +0.48)
OC. A(y) = (y+0.48)²
OD. A(y)=x
OA.
0
y+0.48
12
Set up the integral that gives the work required. Use the center of the bottom of the glass as the origin. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes
to complete your choice.
(Type exact answers.)
0.12
OB. S
2
(1000)(9.8)
(dx
y+0.48
12
C
2
(0.5-y) dy

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