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Consider the function: h(x)= x^2+(9/2)x+9. Out of all the lines tangent to the graph of h(x),...

Consider the function: h(x)= x^2+(9/2)x+9. Out of all the lines tangent to the graph
of h(x), there’s only one that’s perpendicular to the line that’s given by y= -4x+14.
How can I write the equation of that line tangent to h(x) that is perpendicular to
y= -4x+14? Explain each step and show all your work.

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