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).
1 answer:
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Answer:
Step-by-step explanation:
First, recall the 4 basic imaginary exponents:
So, we want to find:
This is the same as:
52 is 4 times 13. Thus:
Since we know that i to the fourth is 1:
Simplify:
And this equals:
So:
