Do you have a picture of the graph?
Answer:
y = 1/e
y = 0.37
Step-by-step explanation:
y = (ln x)/x; (e, 1/e)
Step 1
Find the point of tangency.
It's given as (e,1/e) or (2.72,0.37)
Step 2
Find the first derivative, and evaluate it at x=e
Using product rule.
d(uv) = udv + vdu
Where u = lnx and v = 1/x
du = 1/x , dv = -1/x^2
f'(x) = -lnx/x^2 +1/x^2
f'(x) = (1-lnx)/x^2
At x = e
f'(e) = (1-lne)/e^2
f'(e) = 0
The slope of the tangent line at this point is m= 0
Step 3
Find the equation of the tangent line at (e,1/e) with a slope of m=0
y−y1 = m(x - x1)
y-(1/e) = 0(x-1)
y = 1/e
y = 0.37
To find the perfect square of an equation, you just take your "middle" term (in this case, 16), divide it by 2, then square it.
16/2 = 8
8^2 = 64
your perfect square is 64. you can check it really quick by trying to factor x^2 + 16x + 64 and seeing that it breaks down perfectly into (x + 8)(x + 8), which can be written as (x + 8)^2, showing that you have a binomial with a perfect square!!
Answer:
The 2 Plan will have same cost of $2149 after 64 sessions.
Step-by-step explanation:
Given;
Let the Two plan be Plan A and Plan B.
Also let the number of session be 
According to given detail
Plan A = 
Plan B =
We need to find the value of when both are equal.
Plan A = Plan B
=
Solving above equation we get;
Number of session are 64.
Cost after 64 session will be,
Plan A = 
Plan B =
Hence The 2 Plan will have same cost of $2149 after 64 sessions.
