Find equations of the tangent lines to the curve given below at the points specified. y =
9 ln(x)
x
At the point (1, 0).
y =
At the point (e,9/e).
y =

Given :

y =  9 ln(x) , At the point (1, 0).

To Find :

Equations of the tangent lines to the curve given below at the points specified.

Solution :

Slope of tangent to curve at ( 1, 0) is :

Putting x = 1 , we get :

.

So , equation of tangent is :

Therefore , this is the required solution .

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral