Let r = (t,t^2,t^3)
Then r' = (1, 2t, 3t^2)
General Line integral is:

The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector


Fortunately, this simplifies nicely with a 'u' substitution.
Let u = 1+4t^2 +9t^4
du = 8t + 36t^3 dt

After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
Answer:
Cumulative frequency distribution
Step-by-step explanation:
Cumulative frequency distribution is a form of a frequency distribution that represents the sum of a class and all classes below it. Remember that frequency distribution is an overview of all distinct values (or classes of values) and their respective number of occurrences.
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Will be pleased to help anytime ..
See ya
2+1=3 is not an identity property. The rest are because the value equals itself after dividing, subtracting, and multiplying.
Answer:
$89.64
Step-by-step explanation:
First, you want to find your unit rate.
To do that, simply just divide what you know (cost/amount):
29.88/12
= 2.49
This means that one role of tape costs $2.49.
Now that we know that, you can simply just solve for value "c":
c = 2.49(36)
c = 89.64