#Solutions to AVOIDING NONSENSE QUIZ, RETURN BY 12:15
#
NAME: Dr. Z.


#AVOIDING NONSENE QUIZ:

WHICH OF FOLLOWING ANSWERS ARE CLEARLY NONSENSE and WHICH ones ARE NOT

1. The volume of the .... is -11

NONSENSE. Volume is NEVER negative.

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

NONSENSE.  Equation of a tangne plane has the form ax+by+cz=d (implicit format) or z=ax+by+c (explicit)

3. The curl of a certain vector field is x^3+y+z

NONSENSE. The curl is a VECTOR-FIELD (A VECTOR of FUNCTIONS)

4. The curl of a certain vector field is <1,3,5>

OK. Could happen. 

5. The divergence of a certaion vector field is <x,y,z^2>

NONSENSE. The divergence is ONE function. Not a vector.

6. The divergence of a certaion vector field is  cos(x+y+z)

OK. Could happen, e.g. (1/3)*sin(x+y+z)

7. The gradient of a certain function is  cos(x+y+z)

NONSENSE. The gradinet is a VECTOR FIELD (i.e. a VECTOR of functions)

8. The gradient of a certain function at the point (1,-1,2) is <x,y,z>

NONSENSE. It has to be a VECTOR OF NUMBERS (since it is at a specific point)

9. The curvatute of a certain curve at a certain point is t^3/(1+t^2)

NONSENE. Since it is at a certain point it has to be a NUMBER.

10. The vector-field line integral of a certain vector field over a certain surface is -5

OK. Could happen.

11. The surface area of a certain surface is -11

NONSENSE. Area, in particular, Surface area is NEVER netative.