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**Unformatted text preview: **Use the Fundamental Theorem of Calculus to calculate the following integral. An antiderivative of 3 x 1/3 – 1 – e 0.5 x is . Therefore, by the fundamental theorem, ( Heat Diffusion ) Some food is placed in a freezer. After t hours the temperature of the food is dropping at the rate of r ( t ) degrees Fahrenheit per hour, where (a) Compute the area under the graph of y = r ( t ) over the interval 0 " t " 2. (b) What does the area in part (a) represent? (a) To compute the area under the graph of y = r ( t ) over the interval 0 " t " 2, we evaluate the following. (b) Since the area under a graph can represent the amount of change in a quantity , the area in part (a) represents the amount of change in the temperature between hour t = 0 and hour t = 2. That change is 24.533 degrees Fahrenheit....

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