Answer:
hi
Step-by-step explanation:
I'm anmol kulkar from India thanks for free points by
Answer:
INF for first while D for second
Step-by-step explanation:
Ok I think I read that integral with lower limit 1 and upper limit infinity
where the integrand is ln(x)*x^2
integrate(ln(x)*x^2)
=x^3/3 *ln(x)- integrate(x^3/3 *1/x)
Let's simplify
=x^3/3 *ln(x)-integrate(x^2/3)
=x^3/3*ln(x)-1/3*x^3/3
=x^3/3* ln(x)-x^3/9+C
Now apply the limits of integration where z goes to infinity
[z^3/3*ln(z)-z^3/9]-[1^3/3*ln(1)-1^3/9]
[z^3/3*ln(z)-z^3/9]- (1/9)
focuse on the part involving z... for now
z^3/9[ 3ln(z)-1]
Both parts are getting positive large for positive large values of z
So the integral diverges to infinity (INF)
By the integral test... the sum also diverges (D)
We can conclude that All the data points are exactly the same. When we calculate one variable statistic and we find that the standard deviation is equal to zero most likely that we can conclude is that all the data points will be exactly the same.
Answer:
Step-by-step explanation:
Given
--- Point
Required
Component of V
From the question, we understand that V is in standard position.
This implies that V starts at the origin (0,0) and ends at (a,b)
So, vector V is:
This gives:
Answer:
option (B) 20
Step-by-step explanation:
Data provided in the question:
Number of photographs initially sold = 20
selling price of first 20 photographs = $10 each
Therefore,
Revenue from 20 photographs = 20 × $10 = $200
Selling price of further photographs = $15
Let the number of additional photographs sold be 'x'
thus,
total revenue = $200 + $15x
now,
according to the question
80% of ($200 + $15x) = $400
or
0.80 × ($200 + $15x) = $400
or
($200 + $15x) = $500
or
$15x = $300
or
x = 20
Hence,
the answer is option (B) 20
