Question

Find the equations of the tangents to the curve $x = 9t^2 + 9$, $y = 6t^3 + 3$ that pass through the point $(18, 9)$.\\ y = \\ y = \\ (smaller slope)\\ (larger slope)

          Find the equations of the tangents to the curve $x = 9t^2 + 9$, $y = 6t^3 + 3$ that pass through the point $(18, 9)$.\\
y = \\
y = \\
(smaller slope)\\
(larger slope)

Added by Irene P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Minh Le

05/06/2022

Step 1

The slope of the tangent line is given by the derivative of the curve. dy/dx = (dy/dt)/(dx/dt) = (18t^2)/(18t) = t Show more…

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Find the equations of the tangents to the curve x=9t^(2)+9,y=6t^(3)+3 that pass through the point (18,9). y= (smaller slope) y= (larger slope)Find the equations of the tangents to the curve x=9t^(2)+9,y=6t^(3)+6 that pass through the point (18,12). y= (smaller slope) y= (larger slope) y = y = (smaller slope) (larger slope) Find the equations of the tangents to the curve x = 9t^2 + 9, y = 6t^3 + 3 that pass through the point (18, 9).