The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are l=3m and w=h=4m,
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The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are l=3m and w=h=4m,
The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are l=3m and w=h=4m, and ℓ and w are increasing at a rate of 8 m/s while h is decreasing at a rate of 5 m/s. At that instant find the rates at which the following quantities are changing. (a) The volume. x m3/s (b) The surface area. m2/s (c) The length of a diagonal. (Round your answer to two decimal places.) m/s
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