✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{4} \sqrt{10}\, dy = 4 \sqrt{10} \]
Integrate.✓ Proved
Answer \( 4 \sqrt{10} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{5} \sqrt{10}\, dy = 5 \sqrt{10} \]
Integrate.✓ Proved
Answer \( 5 \sqrt{10} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{2} \sqrt{2}\, dy = 2 \sqrt{2} \]
Integrate.✓ Proved
Answer \( 2 \sqrt{2} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{4} \sqrt{10}\, dy = 4 \sqrt{10} \]
Integrate.✓ Proved
Answer \( 4 \sqrt{10} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{4} \sqrt{10}\, dy = 4 \sqrt{10} \]
Integrate.✓ Proved
Answer \( 4 \sqrt{10} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{3} \sqrt{10}\, dy = 3 \sqrt{10} \]
Integrate.✓ Proved
Answer \( 3 \sqrt{10} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
Find the length of the curve \( \displaystyle x = 2 y \) for \( \displaystyle 0 \le y \le 3 \).
For x = g(y), L = ∫ √(1 + (dx/dy)²) dy.
Reviewed
\[ \frac{d}{d y} 2 y = 2 \]
dx/dy.✓ Proved
\[ \left(\frac{d}{d y} 2 y\right)^{2} + 1 = 5 \]
1 + (dx/dy)², simplified.✓ Proved
\[ \int\limits_{0}^{3} \sqrt{5}\, dy = 3 \sqrt{5} \]
Integrate.✓ Proved
Answer \( 3 \sqrt{5} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{3} \sqrt{2}\, dy = 3 \sqrt{2} \]
Integrate.✓ Proved
Answer \( 3 \sqrt{2} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{2} \sqrt{2}\, dy = 2 \sqrt{2} \]
Integrate.✓ Proved
Answer \( 2 \sqrt{2} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
\[ \int\limits_{0}^{2} \sqrt{2}\, dy = 2 \sqrt{2} \]
Integrate.✓ Proved
Answer \( 2 \sqrt{2} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify
Find the length of the curve \( \displaystyle x = y \) for \( \displaystyle 0 \le y \le 2 \).
For x = g(y), L = ∫ √(1 + (dx/dy)²) dy.
Reviewed
\[ \frac{d}{d y} y = 1 \]
dx/dy.✓ Proved
\[ \left(\frac{d}{d y} y\right)^{2} + 1 = 2 \]
1 + (dx/dy)², simplified.✓ Proved
\[ \int\limits_{0}^{2} \sqrt{2}\, dy = 2 \sqrt{2} \]
Integrate.✓ Proved
Answer \( 2 \sqrt{2} \)
✓ Nihil obstat Lines: 3 proved, 1 reviewed. The answer was also checked a second way, without looking at the solution. Reviewers found nothing wrong with the explanation. The full receipt ·
How we verify