Let R denote the region in the first quadrant bounded by the curve y = 4e²x and the x and y axes. Which of the expressions below computes the surface area of the solid obtained by rotating the region R around the x-axis. In 2 4x ² 2π(4 – e²ª) √1 – 4e¹ª dæ So 0 1 √ ² S In 2 4x √ 2 (4- 2e²²) √ 1 + 4e¹² da 2π(4e²x)√1+ 4e¹x dx In 2 1 4x 2π(4 – е²)√1+ 4eªª dx 2π(4 – 2e²x)√1 – 4e4* dx
Let R denote the region in the first quadrant bounded by the curve y = 4e²x and the x and y axes. Which of the expressions below computes the surface area of the solid obtained by rotating the region R around the x-axis. In 2 4x ² 2π(4 – e²ª) √1 – 4e¹ª dæ So 0 1 √ ² S In 2 4x √ 2 (4- 2e²²) √ 1 + 4e¹² da 2π(4e²x)√1+ 4e¹x dx In 2 1 4x 2π(4 – е²)√1+ 4eªª dx 2π(4 – 2e²x)√1 – 4e4* dx
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
![Let R denote the region in the first quadrant bounded by the curve
y = 4 - e²x and the x and y axes.
Which of the expressions below computes the surface area of the
solid obtained by rotating the region R around the x-axis.
In 2
2x
4x
S 2π(4 – е²2)√1 + 4eª⁰ dx
2π(4 – e²ª)√1 – 4e4ª dx
In 2
4x
√ 2π(4- 2e²²) √ 1 + 4e¹² da
In 2
[th
S
2π(4 − e²x)√1 + 4eªª dx
1
4x
2π(4 – 2e²ª)√1 – 4e¹ª dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff97703e1-87fb-4d48-bfda-fef5caeb697f%2Fde5e22d8-aecb-468f-9490-58d7939e2b91%2Fo8zkl6w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let R denote the region in the first quadrant bounded by the curve
y = 4 - e²x and the x and y axes.
Which of the expressions below computes the surface area of the
solid obtained by rotating the region R around the x-axis.
In 2
2x
4x
S 2π(4 – е²2)√1 + 4eª⁰ dx
2π(4 – e²ª)√1 – 4e4ª dx
In 2
4x
√ 2π(4- 2e²²) √ 1 + 4e¹² da
In 2
[th
S
2π(4 − e²x)√1 + 4eªª dx
1
4x
2π(4 – 2e²ª)√1 – 4e¹ª dx
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