What does 5-7 equal to
2 answers:
Sometimes it helps to think of subtraction in terms of "movement". Subtracting some positive amount is the same thing as moving <em>left </em>on the number line. If we start on the number 5 and move 7 to the left, you can see that we pass zero and end up 2 in the negative, so 5 - 7 = -2.
Another way to think about this is to look at subtracting 7 as subtracting 5 and <em>then </em>subtracting another two from 5 -- 5 - 5 - 2, in other words. 5 - 5 = 0, and 0 - 2 = -2, so we end up at the same place.
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<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units
<u>Solution-</u>
As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with
x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)
Then, substituting these values in the plane equation to get the z parameter,
cos t + 2sin t + z = 2
⇒ z = 2 - cos t - 2sin t
∴
As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π
∴ Arc length
Now evaluating the integral using calculator,
