Practice Questions Flashcards
(49 cards)
How to solve this
1) say what x, y and x equal
2) take the 2 partials of the parametrized function
3) take the cross product of those 2 partials
4) use tangent plane equation to get tangent plane equation
What is the answer to this
2x+z =1
How to do this
Div(curl) = 0, so fire hard that part
Take divergence of remaining part and solve for “a”
How to do this
Use surface areas formula (pick 1 out of the 3)
How to do this
How to do this
Use mass of a plate formula with dxdy
How to do this
1) find curl, then curl at that point
2) set dot product to 0 since orthogonal and solve for “a”
3) can now take divergence
How to do this
1) state what x, y, and x are
2) take 2 partials
3) take cross product of those 2 partials
4) figure out what u and v equal (using point given)
5) use what u and v are to simplify cross product answer
6) use tangent plane formula to find equation of tangent plane
How to do this
How to do this
Use conservative formula to solve for “a”
How to do this
Remember green’s theorem formula for AREA of a (+) SCC
How to do this
Div(curl) = 0
How to do this
1) gradient field means curl is zero
2) find curl
3) see if there’s a value for a that would make curl 0
4) there isn’t here since there’s STILL an “i” component
What is radius of gyration
Distance from axis of rotation to a point where total mass of the body is supposed to be concentrated
What is the formula for “region of D” (area) using Green’s
Is divergence a scalar or vector
(And what does it look like)
Scalar
Is curl a scalar or a vector
(And what does it look like)
Vector
What is curl of a conservative vector field
0
What is curl of a gradient
(and why)
0
(Gradients are conservative)
What does zero flux mean for divergence
0 divergence
What is div(curl)
0
Equation of a sphere
When to use spherical
When region has some symmetry
When is the dot product 0
Vectors are perpendicular
