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Find the equation of the tangent to the curve y = x + 4/x² that is parallel to the x-axis.
- y = 1
- y = 2
- y = 3
- y = 0
Correct answer: y = 3
Solution
The tangent to the curve is parallel to the x-axis when its slope is zero. By finding the derivative of the function and setting it to zero, we determine the points where the slope is zero, which leads us to the value of y = 3.
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