Answer:
The amount that plant earns per man hour after (t) years it open is $80 .
Step-by-step explanation:
Given as :
The earning of manufacturing plant when it opened = $ 80 per man hour
The rate of plant earning per man hour = 5 %
Let The earning of plant after t years = A( t )
So,
The earning of plant after t years = initial earning ×
Or, A(t) = $ 80 ×
or, A(t) = $ 80 ×
Hence The amount that plant earns per man hour after (t) years it open is $80 . Answer
Answer:
False
Step-by-step explanation:
In this case, i woudnt reccomend to use integration by parts, becuase you are not simplifying the expression by doing an integration and a derivation. It is not easy to integrate 1/x³+1, and if you derivate it, then a natural logarithm would appear, and the integral wont be easier after this parts step.
It is a better idea to use integration by substitution. Note that if you replace x³+1 by a variable y, we have that dy = 3x² dx. We can easily make a 3xdx appear in the integral by multiplying and dividing by 3, solving the integral easily:
(Note that, if x ranges from 0 to 1, then u = x³+1 ranges from 0³+1 = 1 to 1³+1 = 2)