on the number line above, w,x,y, and z are the coordinates of the indicated points. which of the following is NOT true?
1 answer:
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It looks like the integral is
where <em>C</em> is the circle of radius 2 centered at the origin.
You can compute the line integral directly by parameterizing <em>C</em>. Let <em>x</em> = 2 cos(<em>t</em> ) and <em>y</em> = 2 sin(<em>t</em> ), with 0 ≤ <em>t</em> ≤ 2<em>π</em>. Then
Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on <em>C</em> nor in the region bounded by <em>C</em>, so
where <em>D</em> is the interior of <em>C</em>, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: .
Answer:
13 is the number.
Step-by-step explanation:
Given:
Twice the difference of a number and 9 equals 8.
Let the unknown number be 'x'.
Therefore, as per question:
The difference of 'x' and 9 =
Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,
Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,
Solving for 'x', we get:
Using distributive property of addition and distributing 2 inside the bracket. This gives,
Therefore, the unknown number is 13.
Now, we can verify our answer.
Therefore, the answer is correct.