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velikii [3]
3 years ago
8

Let f (x comma y )f(x,y)equals=xx and let C be the segment of the parabola y equals 4 x squaredy=4x2 joining O(0 comma 0 )(0,0)

and P(1 comma 4 )(1,4). a. Find a parameterization of C in the direction from O to P. Evaluate Integral from Upper C to f ds∫C f ds. b. Find a parameterization of C in the direction from P to O. Evaluate Integral from Upper C to f ds∫C f ds. c. Compare the results of​ (a) and​ (b).

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

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3 years ago
How do I Simplify i^54
yanalaym [24]

Answer:

i^{54}=-1

Step-by-step explanation:

First, recall the 4 basic imaginary exponents:

i^1=i \text{, }i^2=-1\text{, }i^3=-1\text{ and } i^4=1

So, we want to find:

i^{54}

This is the same as:

=i^{52}\cdot i^2

52 is 4 times 13. Thus:

=(i^4)^{13}\cdot i^2

Since we know that i to the fourth is 1:

=(1)^{13}\cdot i^2

Simplify:

=i^2

And this equals:

=-1

So:

i^{54}=-1

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Step-by-step explanation:

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