1. Write dy in terms of x and dx if y = 5x2.
2. Determine the linear approximation of 21/2. Express your answer as a reduced fraction in the form a/b.
3. The measurement of the side of a square is found to be 12 cm with a possible error of 0.05 cm. Use differentials to estimate the propagated error A???A in computing the area of the square. Please do not include the A?± symbol in your answer. Round your final answer to one decimal place.
4. Which of the following is the linear approximation formula, L(x), that estimates values of y = ln(x) + 1 for values of x near 1?
Question 4 options:
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y = x - 1
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y = x
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y = x + 1
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y = -x
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