Alexandra Fabiello said:Homework Statement
Find the equation of the curve for which y'' = 8 if the curve is tangent to the line y = 11x at (2, 22).
Homework Equations
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The Attempt at a Solution
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y' = 8x + c1
y = 4x2 + c1x + c2
What exactly is the question asking me to do, especially with the y = 11x bit? ∫ydx?
LCKurtz said:It wants your curve to be tangent at (2,22). That means it must pass through that point and have the same slope there as the line.
LCKurtz said:You have two constants with which you can make the curve agree with point and slope.
LCKurtz said:You have ##y = 4x^2 + c_1x + c_2## with two unknown constants. What do the constants have to be so that ##y(2) = 22## and ##y'(2) = 11##?
LCKurtz said:There's really nothing more to tell you without working it for you. Just do it.
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