The point p(2,ln(2)) lies on the curve y=ln(x).
(a) if q is the point (x, ln(x), find the slope of the secant line pq correct to four decimal places for the following values of x:
(1) 1.5 (2) 1.9 (3) 1.99 (4) 1.999 (5) 2.5 (6) 2.1 (7) 2.01 (8) 2.001
(b) guess the slope of the tangent line to the curve at p.
(c) using the slope from part (b), find the equation of the tangent line to the curve at p.

5x+10 is the correct one

hope this

17

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .