Karl7aq7Warrinabigal
Karl7aq7Warrinabigal Karl7aq7Warrinabigal
  • 14-08-2016
  • Mathematics
contestada

The curve y = ax^2 + bx + c passes through the point (2, 32) and is tangent to the line y = 4x at the origin. Find the values of a, b, and c.

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meerkat18
meerkat18 meerkat18
  • 18-08-2016
We are given the general formula of the curve of y = ax2 + bx + c. The tangen line at the origin is y = 4x. This eliminates the second term in which the derivative should be reflected as a constant. Since when the derivative of the first term is 4x, then a should be 2. From the points, c should be equal to 24.
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