. Evaluate ƒ(x) = 3x + 8 for x = 1. 3 5 11 –11
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1. if 1st number is 'x', the 2d number is 'y', then it is possible to make up the system of two equation according to the condition:
2. one number is 11, another number is 10.
1. if 1st number is 'x', the 2d number is 'y', then it is possible to make up the system of two equation according to the condition:
2. one number is 11, another number is 10.
<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,
