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Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the depth of the water in the container. Find the rate of increase of the volume of the water (d), in the container when its depth is 0.5m and is rising at the rate of 0.01 ms-¹. Give your answer correct to 4 decimal places. dV m³/s dt = {0}

Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the depth of the water in the container. Find the rate of increase of the volume of the water (d), in the container when its depth is 0.5m and is rising at the rate of 0.01 ms-¹. Give your answer correct to 4 decimal places. dV m³/s dt = {0}

Advanced Engineering Mathematics
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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Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the depth of the water in the container. Find the rate of increase of the volume of the water (d), in the container when its depth is 0.5m and is rising at the rate of 0.01 ms-¹. Give your answer correct to 4 decimal places. dV m³/s dt = {0}
Transcribed Image Text:Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the depth of the water in the container. Find the rate of increase of the volume of the water (d), in the container when its depth is 0.5m and is rising at the rate of 0.01 ms-¹. Give your answer correct to 4 decimal places. dV m³/s dt = {0}
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