Solution Found!
?(a) Sketch the curve C with parametric equationsx = cos t y = sin t z = sin t 0 ? t ?
Chapter 16, Problem 24(choose chapter or problem)
QUESTION:
(a) Sketch the curve C with parametric equations
x = cos t y = sin t z = sin t 0 ⩽ t ⩽ 2𝜋
(b) Find ∫C 2xe2y dx + (2x2e2y + 2y cot z)dy − y2csc2z dz.
Questions & Answers
QUESTION:
(a) Sketch the curve C with parametric equations
x = cos t y = sin t z = sin t 0 ⩽ t ⩽ 2𝜋
(b) Find ∫C 2xe2y dx + (2x2e2y + 2y cot z)dy − y2csc2z dz.
ANSWER:Step 1 of 3
The parametric equation of the given curve is
We know that
It follows
Again, we have
Therefore, the given curve lies between the intersection of the circle with radius 1 unit centered at origin and the plane .
The graph is shown below.