For what positive value of x does the tangent line to the curve y=ln(1-x) intersect the y-axis at the point (0,2)

0 < x < 1

Step-by-step explanation:

the derivative of the curve allows one to compute the slope:

(1/1-x) is the value of the slope, which depends of the point x. By using the line equation we have:

where yl is the tangent line of the original curve y in the point x.

For the intersection point (0,2), with b=2, we obtain:

The denominator must be different of zero. And the original curve y(x) only can take values of x < 1. Hence the positive value of x for the tangent line will be:

0 < x < 1

hope this helps!!

the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun