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Question
Show that the tangents to the curve y = 7x3 + 11 at the points where x = 2 and x = −2 are parallel.
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Solution
The equation of the given curve is y = 7x3 + 11.
It is observed that the slopes of the tangents at the points where x = 2 and x = −2 are equal.
Hence, the two tangents are parallel.
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