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3. (10 points) Alex opens up a savings account that grows by the force of interest ox (t) 3ta Marsha opens up a savings account

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3. (10 points) Alex opens up a savings account that grows by the force of interest ox (t) 3ta Marsha opens up a savings account that grows by the force of interest dy (t) = 2t. Alex makes an initial deposit of 1 at time t = 0, and Marsha makes an initial deposit of 1 at time t = 0. Let Ax (t) and Ay (t) be the respective amounts at time t for Alex and Marsha. Find the value of t for which g(1) = Ay ()/Ax () is maximized

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