SOLUTION: slope of a tan line to a curve at P (3,3) is 4. Use the equation of this tanngent to find its value for x=9.

Question 212725: slope of a tan line to a curve at P (3,3) is 4. Use the equation of this tanngent to find its value for x=9.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
slope of a tan line to a curve at P (3,3) is 4. Use the equation of this tangent to find its value for x=9.
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Find the equation of the tangent line:
slope = 4
Form = y = mx+b
3 = 4*3+b
b = -9
Equation of the tangent: y = 4x-9
This is the definite derivative of the function "P"
at x = 3
----
Integrate to get P:
P(x) = 4(x^2/2) - 9x
P(x) = 2x^2 -9x
---------------------
P(9) = 2(9^2)-9*9
P(9) = 81
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Cheers,
Stan H.
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