k 3. The intensity of the illumination, I, on an object at distance x from a light source is where k is a constant. If an object is 200 ft from a light source, how much should the distance be change to increase the illumination by 1%? I = x² 4. The diameter and height of a right circular cylinder are measured to be 5 in and 8 in, respectively. If each of these dimensions maybe in error by ±0.10 in. Fin d the greatest possible %error in the volume of the cylinder. 5. The diameter of a circle is to be measured and its area computed. If the diameter can be measured with a maximum error of 0.001 in and the area must be accurate to within 0.1 in³. Find the largest diameter for which the process can be used.
k 3. The intensity of the illumination, I, on an object at distance x from a light source is where k is a constant. If an object is 200 ft from a light source, how much should the distance be change to increase the illumination by 1%? I = x² 4. The diameter and height of a right circular cylinder are measured to be 5 in and 8 in, respectively. If each of these dimensions maybe in error by ±0.10 in. Fin d the greatest possible %error in the volume of the cylinder. 5. The diameter of a circle is to be measured and its area computed. If the diameter can be measured with a maximum error of 0.001 in and the area must be accurate to within 0.1 in³. Find the largest diameter for which the process can be used.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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differentials: approximization
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Transcribed Image Text:k
3. The intensity of the illumination, I, on an object at distance x from a light source is
where k is a constant. If an object is 200 ft from a light source, how much
should the distance be change to increase the illumination by 1%?
I =
x²
4. The diameter and height of a right circular cylinder are measured to be 5 in and 8 in,
respectively. If each of these dimensions maybe in error by ±0.10 in. Fin d the greatest
possible %error in the volume of the cylinder.
5. The diameter of a circle is to be measured and its area computed. If the diameter can be
measured with a maximum error of 0.001 in and the area must be accurate to within 0.1
in³. Find the largest diameter for which the process can be used.
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