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If w'(t) is the rate of growth of a child in pounds per year, what does 12w'(t)dt4 represent?The child's weight at age 4.The child's weight at age 12.    The child's initial weight at birth.The change in the child's weight (in pounds) between the ages of 4 and 12.The change in the child's age (in years) between the ages of 4 and 12.

Question

If w'(t) is the rate of growth of a child in pounds per year, what does 12w'(t)dt4 represent?The child's weight at age 4.The child's weight at age 12.    The child's initial weight at birth.The change in the child's weight (in pounds) between the ages of 4 and 12.The change in the child's age (in years) between the ages of 4 and 12.

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Solution

The expression 12w'(t)dt4 represents the change in the child's weight (in pounds) between the ages of 4 and 12. This is because w'(t) represents the rate of growth of the child in pounds per year, so multiplying it by the difference in ages (12 - 4 = 8 years) gives the total change in weight over that period.

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