Let S be the ‘football’ surface formed by rotating the curve y = 0, x = cos z for z ∈ [−π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area. Please answer in fu...

Question

Question

Let S be the football, surface formed by rotating the curve y = 0, x-cosz for-E-π/2, π/2], around the z-axis. Find a paramet

Let S be the ‘football’ surface formed by rotating the curve y = 0, x = cos z for z ∈ [−π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area. Please answer in full With full instructions.

Answer 1

Answer #1

Z. S is gin by aramehi zotent 2. 2 - J2 ?r | Sin凸-Sint-4)

Answer 2

Similar Homework Help Questions

Find the area of the surface obtained by rotating the given curve about the x-axis. x...

Find the area of the surface obtained by rotating the given curve about the x-axis. x = 20 cos (0), y = 20 sinº (0), 0 <O< 2 Preview
Find the exact area of the surface obtained by rotating the curve about the x-axis. y...

Find the exact area of the surface obtained by rotating the curve about the x-axis. y 2x 2 6 1SXS를 플+을- 263 X\ 266 Find the exact area of the surface obtained by rotating the curve about the x-axis. y 2x 2 6 1SXS를 플+을- 263 X\ 266
Find the exact surface area obtained by rotating the curve about x-axis y 1,0 3 Find...

Find the exact surface area obtained by rotating the curve about x-axis y 1,0 3 Find the exact surface area obtained by rotating the curve about x-axis y 1,0 3

Find the area of the surface obtained by rotating the curve x=6e^2y from y=0 to y=2...

Find the area of the surface obtained by rotating the curve x=6e^2y from y=0 to y=2 about the y-axis.
Find the volume and the center of gravity of the solid formed by rotating the curve y = x(4 − x) around the x-axis over...

Find the volume and the center of gravity of the solid formed by rotating the curve y = x(4 − x) around the x-axis over the interval 0 ≤ x ≤ 4.
Find the surface area generated by rotating the given curve about the y-axis. x = 312,...

Find the surface area generated by rotating the given curve about the y-axis. x = 312, y = 2, osts 4

Find the exact area of the surface obtained by rotating the curve about the x-axis. y...

Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sin( mx), osxs9
Find the surface area generated by rotating the given curve about the y-axis. x = et...

Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2, Osts5 €101-61 -541 X
3. Find the area of the surface generated by rotating the curve x = 2/1- y;...

3. Find the area of the surface generated by rotating the curve x = 2/1- y; -15 y 50 about the y-axis. 3.

5. Find the area of the surface obtained by rotating the curve y=Vx on the interval...

5. Find the area of the surface obtained by rotating the curve y=Vx on the interval [0,1] around the y-axis. 6. Evaluate the integral dx (x+1)