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Recall that given a line L1 in the plane with slope m, a second line L2...

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Basic Math

Recall that given a line L1 in the plane with slope m, a secondline L2 is perpendicular to L1 if and only if the slope of L2 is −1 m . Now consider the function h(x) = x^2 + 3/2x + 3. Among all ofthe lines tangent to the graph of h(x), there is exactly one whichis perpendicular to the line given by y = −2x + 7. Write theequation of that line tangent to h(x) that is perpendicular to y =−2x + 7.

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