Write the equation of a tangent to the curve ,

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Write the equation of a tangent to the curve

x = t

y = t^2

z = t^3

at its point

M(1, 1, 1)

;

(t = 1)