Question

Find the coordinates of a point on the curve y = x² + 7X + 2 which is closest to the straight line y = 3x - 3

Answer 1

Answer:

Step-by-step explanation:

$y=x^2+7x+2,\quad y=3x-3\\y'=2x+7\\y'(x_0)=2x_0+7=3,\quad x_0=-2,\quad y_0=x_0^2+7x_0+2=-8\\(x_0,y_0)=(-2,-8)$