Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. y = 26-12x-x², y=x+26 (i) x-axis; (ii) the line y = 13 (i) (i) (i) 85,683 5 85,683 10 IT; It; 799,708 15 199,927 15 399,854 15 TT: 399,854 15 IT; It; 199,927 15 85,683 10 TT 171,366 5 85,683 5 I T T T
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. y = 26-12x-x², y=x+26 (i) x-axis; (ii) the line y = 13 (i) (i) (i) 85,683 5 85,683 10 IT; It; 799,708 15 199,927 15 399,854 15 TT: 399,854 15 IT; It; 199,927 15 85,683 10 TT 171,366 5 85,683 5 I T T T
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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![**Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.**
Given equations:
\[ y = 26 - 12x - x^2 \]
\[ y = x + 26 \]
**Revolve around:**
1. \( x \)-axis
2. the line \( y = 13 \)
**Answer choices:**
1.
\[ \text{(i)} \quad \frac{85,683}{5} \pi ; \quad \frac{399,854}{15} \pi \]
2.
\[ \text{(i)} \quad \frac{85,683}{10} \pi ; \quad \frac{199,927}{15} \pi \]
3.
\[ \text{(i)} \quad \frac{799,708}{5} \pi ; \quad \frac{171,366}{5} \pi \]
4.
\[ \text{(i)} \quad \frac{199,927}{15} \pi ; \quad \frac{85,683}{10} \pi \]
5.
\[ \text{(i)} \quad \frac{399,854}{15} \pi ; \quad \frac{85,683}{5} \pi \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fdef185-de8b-42f5-933e-8018dcf36541%2Fc71ff50d-ed42-48ed-8227-a623f0c0c4d9%2Frdxu6db_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.**
Given equations:
\[ y = 26 - 12x - x^2 \]
\[ y = x + 26 \]
**Revolve around:**
1. \( x \)-axis
2. the line \( y = 13 \)
**Answer choices:**
1.
\[ \text{(i)} \quad \frac{85,683}{5} \pi ; \quad \frac{399,854}{15} \pi \]
2.
\[ \text{(i)} \quad \frac{85,683}{10} \pi ; \quad \frac{199,927}{15} \pi \]
3.
\[ \text{(i)} \quad \frac{799,708}{5} \pi ; \quad \frac{171,366}{5} \pi \]
4.
\[ \text{(i)} \quad \frac{199,927}{15} \pi ; \quad \frac{85,683}{10} \pi \]
5.
\[ \text{(i)} \quad \frac{399,854}{15} \pi ; \quad \frac{85,683}{5} \pi \]
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