Let C be the plane curve given parametrically by the equations : x(t) = t² - t and y(t) = t² + 2t - 3. %3D Find the slope of the straight line tangent to the plane curve C at the point (0 , 0) on the curve. Enter an integer or a fully reduced fraction such as -2 , 0, 15 , 3/4 , -7/9 , etc.

Let C be the plane curve given parametrically by the equations : x(t) = t² - t and y(t) = t² + 2t - 3. %3D Find the slope of the straight line tangent to the plane curve C at the point (0 , 0) on the curve. Enter an integer or a fully reduced fraction such as -2 , 0, 15 , 3/4 , -7/9 , etc.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.13P

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Question

Let C be the plane curve given parametrically by the equations :
x(t) = t² - t and y(t) = t² + 2t - 3.
%3D
Find the slope of the straight line tangent to the plane curve C at the
point (0 , 0) on the curve.
Enter an integer or a fully reduced fraction such as -2 , 0, 15 , 3/4 , -7/9 , etc.

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