plane region bounded above by the line y - 4. bounded below by the curvey-4-x.bounded on the left by the line x = 0, and bounded on the right by the line x=2. Find the volume of the solid generated by revolving this region about the line y-4. Write answer in terms of Use pi for . Use for exponent and / for fraction. Step 1. Graph the region on papr Step 2. In which quadrant or quadrants is the region? Use 1, 2, 3, or 4 to identify the quadrant(s). If the arc is in more than one quadrant, use a comma to separate quadrant numbers. Step 3. Use disk method., Draw a rectangle showing a representative disk that revolves about the line y- rectangle perpendicular to the line y = 4? Write Yes or No. Now, determine the equations that determine the radius. Step 4. Write the equation that bounds the radius from above. Step 5. Write the equation that bounds the radius from below. Now, set up the integral. Step 6. What is the lower limit of the definite integral?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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the plane region bounded above by the line y - 4. bounded below by the curve y-4-x.bounded on the
left by the line x = 0, and bounded on the right by the line x = 2.
Find the volume of the solid generated by revolving this region about the line y-4. Write answer in terms of
Use pi for . Use for exponent and/ for fraction.
Step 1. Graph the region on papr
Step 2. In which quadrant or quadrants is the region? Use 1, 2, 3, or 4 to identify the quadrant(s). If the arc is found
in more than one quadrant, use a comma to separate quadrant numbers.
Step 3. Use disk method., Draw a rectangle showing a representative disk that revolves about the line y-4. Is the
rectangle perpendicular to the line y = 4? Write Yes or No.
Now, determine the equations that determine the radius.
Step 4. Write the equation that bounds the radius from above.
Step 5. Write the equation that bounds the radius from below.
Now, set up the integral.
Step 6. What is the lower limit of the definite integral?
Step 7. What is the upper limit of the definite integral?
Transcribed Image Text:the plane region bounded above by the line y - 4. bounded below by the curve y-4-x.bounded on the left by the line x = 0, and bounded on the right by the line x = 2. Find the volume of the solid generated by revolving this region about the line y-4. Write answer in terms of Use pi for . Use for exponent and/ for fraction. Step 1. Graph the region on papr Step 2. In which quadrant or quadrants is the region? Use 1, 2, 3, or 4 to identify the quadrant(s). If the arc is found in more than one quadrant, use a comma to separate quadrant numbers. Step 3. Use disk method., Draw a rectangle showing a representative disk that revolves about the line y-4. Is the rectangle perpendicular to the line y = 4? Write Yes or No. Now, determine the equations that determine the radius. Step 4. Write the equation that bounds the radius from above. Step 5. Write the equation that bounds the radius from below. Now, set up the integral. Step 6. What is the lower limit of the definite integral? Step 7. What is the upper limit of the definite integral?
to the line y 4? Write Yes or No.
wing a representative disk that revolves about the line y-4. Is the
Now, determine the equations that determine the radius.
Step 4. Write the equation that bounds the radius from above.
Step 5. Write the equation that bounds the radius from below.
Now, set up the integral.
Step 6. What is the lower limit of the definite integral?
Step 7. What is the upper limit of the definite integral?
Step 8. Evaluate the integral. The volume is
Myl
Transcribed Image Text:to the line y 4? Write Yes or No. wing a representative disk that revolves about the line y-4. Is the Now, determine the equations that determine the radius. Step 4. Write the equation that bounds the radius from above. Step 5. Write the equation that bounds the radius from below. Now, set up the integral. Step 6. What is the lower limit of the definite integral? Step 7. What is the upper limit of the definite integral? Step 8. Evaluate the integral. The volume is Myl
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