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{
\bf ``QUIZ'' for Lecture 26
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{\bf NAME:} (print!) $\underline
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{\quad \bf Section:}
$\underline{\quad\quad\quad}$

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{\bf E-MAIL ADDRESS:} (print!) 
$\underline
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Which of the following answers nonsense. Explain!

1. $\int_0^{\pi} \int_{-1}^{1} r \cos \theta \, dr \, d \theta$ (in polar coordinates)

2. $\int_0^{\pi} \int_{0}^{1} \int_{-3}^{3} r \cos \theta \, \, dz dr \, d \theta$ (in cylindrical coordinates)

3. The tangent plane to the surface $z=x^2+y^2$ at $(1,1,2)$ is $z=2+ 2x(x-1)+2y(y-1)$ .

4. For some vector field ${ \bf F}$, $div \, {\bf F}= \langle x, y, z \rangle $

5. For some vector field ${ \bf F}$, $curl \, {\bf F}= \sin(x+y+z) $

6. The arclength of a certain curve equals $-5$.

7. The volume of a certain solid body equals $-11.1$

8. The volume-integral of a certain function over a certain solid-body equals $-11.1$.

9. The line-integral of a certain scalar function over a certain curve equals $-7$.

10. $\sin^{-1} (2)$.




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