Figure 3.21 (a) one section of the racetrack can be modeled by the function f ( x ) = x 3 + 3 x 2 + x . (b) The front corner of the grandstand is located at ( 1.9 , 2.8 ) . Physicists have determined that drivers are most likely to lose control of their cars as they are coming into a turn, at the point where the slope of the tangent line is 1. Find the ( x , y ) coordinates of this point near the turn.
Figure 3.21 (a) one section of the racetrack can be modeled by the function f ( x ) = x 3 + 3 x 2 + x . (b) The front corner of the grandstand is located at ( 1.9 , 2.8 ) . Physicists have determined that drivers are most likely to lose control of their cars as they are coming into a turn, at the point where the slope of the tangent line is 1. Find the ( x , y ) coordinates of this point near the turn.
Figure 3.21 (a) one section of the racetrack can be modeled by the function
f
(
x
)
=
x
3
+
3
x
2
+
x
. (b) The front corner of the grandstand is located at
(
1.9
,
2.8
)
.
Physicists have determined that drivers are most likely to lose control of their cars as they are coming into a turn, at the point where the slope of the tangent line is 1. Find the (x, y) coordinates of this point near the turn.
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