[Steps Shown] Consider the surface given by r(u, v)=< u cos v, u sin v, 1-2 u cos v>, 0 ≤q u ≤q 1, 0 ≤q v ≤q π / 2. Find the area of the surface.
Question: Consider the surface given by \(\mathbf{r}(u, v)=\langle u \cos v, u \sin v, 1-2 u \cos v\rangle, \quad 0 \leq u \leq 1, \quad 0 \leq v \leq \pi / 2\).
- Find the area of the surface.
- Find the equation of the tangent plane at the point \((u, v)=\left(\frac{1}{4}, \frac{\pi}{4}\right)\).
Deliverable: Word Document 
Solution: Consider the cylinder x^2+y^2=9,-3 ≤q z ≤q 3.
![[See Solution] Use Stokes' Theorem to evaluate](/images/solutions/MC-solution-library-65917.jpg "[See Solution] Use Stokes' Theorem to evaluate \oint_C F • d")
[See Solution] Use Stokes' Theorem to evaluate \oint_C F • d
(Solution Library) Evaluate \oint_C F • d r, where F(x, y, z)=y
![[Solved] Determine whether the equation defines y](/images/solutions/MC-solution-library-65919.jpg "[Solved] Determine whether the equation defines y as a linear")
[Solved] Determine whether the equation defines y as a linear
![[All Steps] Find the derivative of f(x)=4](/images/solutions/MC-solution-library-65920.jpg "[All Steps] Find the derivative of f(x)=4 x^4-3 x^5 /")
[All Steps] Find the derivative of f(x)=4 x^4-3 x^5 /
Expected Value of Perfect Information Calculator - MathCracker.com