f(x)=lnx
y=f(x)
dy/dx= 1/x
tangent at (x,y) has slope 1/x
eqn of tangent is y = mx + c
since the tangent passes through origin, c=0
substitute y = lnx and m= 1/x to above eqn
lnx = 1
x=e
y=lne=1
Solution:
We are given below frequency table:
Amusement-Park Museum Broadway-Show Total
Juniors 57 21 42 120
Seniors 64 44 58 166
Total 121 65 100 286
We have to find the percentage of surveyed students who chose the amusement park.
From the table, we see there are total 121 students who chose amusement park out of total 286 students.
Therefore, the percentage of surveyed students who chose the amusement park is given below:

Hence, the option A. 42.30% correct.
Vertical line has no slope. so only look at the x value. x=-4.
Answer:
e f f g
3 7 2 3
6 14 14 21
e;g=6:21
e : g=2 : 7
Step-by-step explanation:
I'm here buddy,
so, let's take the value of the two bags with equal weight as x.
= x + x + (x +
) = 
= 3x +
= 
= 3x =
- 
( let's take the LCM of 4 and 5 = 20
= 3x =
- 
= 3x = 
= x =
÷
=
×
= 
So, the weight of the equal bags are
and the weight of the third bag ( heavy one ) is
+
=
+
= 
1st bag =
kg
2nd bag =
kg
3rd bag =
kg
Hope it helps...