Intermediate Geometry : How to find the equation of a curve
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The given curve is y=2x^3-bx+a. y = 2x3 −bx+ a. Evaluating \frac { dy } { dx } dxdy, we have. \frac {dy} {dx}=6x^2-b. dxdy = 6x2 −b. Substituting x=1 x = 1 gives. \frac {dy} {dx}=6-b. dxdy = 6−b. Since the slope of the curve at x=1 x = 1 is 5, 5, we
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The answer to the equation is 4.
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First, given the two points, find the equation of the line using the slope formula and the y-intercept equation. Slope: Write the slope-intercept formula. Substitute a given point and the slope into
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There are several formulas for determining the curvature for a curve. The formal definition of curvature is, κ = ∥∥ ∥d →T ds ∥∥ ∥ κ = ‖ d T → d s ‖. where →T T → is the unit
