Answer:-C. Copy an angle by creating arcs with a compass.
Explanation:-
Steps to construct a parallel line to original line AB through a point M.
1. Use straightedge to draw a transversal through point N which is straight line passes through M and intersects with given line.
2. Construct a copy of the angle formed by the transversal and the given line such that the copy will be located at point M such that he vertex of the copied angle will be point M.
3. Draw the line to complete the angle copy which will be a XY line parallel to the given line AB.
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Make it more general, and see what happens when you try to reduce the exponent of
x in the following integral:
Now, integrate it by parts:
where
So after one iteration, the exponent of
x was decreased by one unit.
The question is:
after how many iterations will the exponent of x equals zero? After exactly
k iterations, of course.
Therefore, for
k = 7, you have to apply integration by parts
7 times, to get rid of that polynomial factor. Then, there will be one last integral left to evaluate:
But this one doesn't need to be evaluated by parts. You can directly write the result:
Shortly, for the integral
you have to apply integration by parts
7 times (not
8 times).
I hope this helps. =)
Tags: <em>indefinite integral integration by parts reduction formula product polynomial exponential differential integral calculus</em>
<span>Let the distance of the point be P. From the question, the distance, P, is square root of the sum of the coordinates (x, y); so we have (X^2, Y^2) From the origin we have (0, 0) From elementary mathematics, distance of a point is . âš(X2 -X1)^2 - (Y2 - Y1)^2
So basically this is just the difference of the squares at varying points of X and Y.
At the origin, X1 = 0 and Y1 = 0 and so our equation reduces to âš(X2-0)^2 + (Y2 -0)^2. This becomes P =âšX^2 + Y^2</span>