The equation of a tangent line to any curve i.e. a straight line that touches the curve at only one point can be found by following three steps: First, calculate the slope (m) of the line. Second, calculate the
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Find the value of k if 4x+y+k=0 is a tangent to the ellipse x^2+3y^2=3... 02:39 Find the condition for the line x cos alpha+y sin alpha=p to be a tang... 02:58 Find the equations of tangent and normal to the ellipse 2x^2+3y^2=11 a... 07:37 Find the equation to...
Given vector r(t) = 5t vector i +4t^3 vector j, find the unit tangent vector vector T(t) and write the parametric equations of the line tangent to the curve when t = 1. Consider the vector equation r(t) = 5 \sin t i + 2 \cos t ...
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trajectories of the given curve first, we differentiate the given family of curves with respect toxon both sides and find the slope of tangent. Therefore the slope of the perpendicular tangent (orthogonal) is the negative reciprocal that is−1dydxSolve it differential equation we get re...
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Find the points on the ellipse x^2 + 2y^2 = 1 where the tangent line has slope 1. find the equation of both the tangent lines to the ellipse { x^2 + 9y^2 = 81 } that pass through the point (27,3) Find an equation of the tangent line to the...
Use implicit differentiation to find the slope of the tangent line to the curve defined by 3xy3+xy=163 at (4,1). The Slope of a Tangent Line:The slope function of the given implicit curve can be found by differentiating the given equation by...