Find the equation of the line tangent to the graph of y=(x^2 - x)ln(6x) at x=2. approximate to the nearest thousandth.

Step-by-step explanation:

We are given the following information in the question:

Differentiating y with respect to x:

At x =2

Equation of tangent:

Putting the values:

The above equation is the required equation of the tangent.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

mia khalifa

step-by-step explanation: