Linear Equations Rave
det(1 2; 6 5)
What is -7?
Velocity is the integral of this vector.
What is acceleration?
The Work from <0,0> to <5,0> for a Force Field = <x,y>.
What is 12.5?
The Gradient of <y(x^2)+z, 89xyz, xsin(z)>.
What is <2xy, 89xz, xcos(z)>?
This TA is from Cambridge, MA.
Who is Talia? :)
Ax=0 is this type of system of equations.
Integral of sin(x) from x=0 to x=pi.
What is 2?
The Flux from <0,0> to <0,5> for a Force Field = <x,y>.
What is 0?
On the level curve, the gradient points ...
in the direction of the greatest ascent (increase)
This TA is a graduating senior.
See YA Sam
Ax=0, with det(A)=/=0, has this many solutions.
What is 1?
The mass of a circle centered at (a,0), with a density of 2 kg/m2.
What is 2*pi*a2?
Is this conservative: F = <6-2xy+(y^3), (x^2)-8y+3x(y^2)>.
No, the curlF = 4x != 0
Any normal vector to the plane z + 5 = 2x - 3y.
What is: either <2,-3,-1> or <-2,3,1>?
This TA is a Physics Major
Ya boi Sam
The intersection of 2 planes has these 3 possible ways of intersecting.
What are:
1) no intersection
2) line of intersection
3) plane of intersection
The Jacobian using the change of variables: x=rcos(theta), y=rsin(theta).
What is r?
The Potential Function of F = <2y + y^3, 2x + 3x(y^2)>.
What is 2xy + x*(y^3)?
The directional derivative of sin(xy) along the vector <3,-4>.
What is (1/5) * (3y*cos(xy) - 4x*cos(xy))?
This TA spends most of their time in Pappalardo Lab and Gelb Lab.
Who is Talia?
Steps to find the inverse of a matrix A.
What are:
1) find det(A)
2) find matrix of minors
3) find matrix of cofactors
4) find adjoint matrix
5) divide by det(A)
The bounds for theta and phi in spherical coordinates.
0 < theta < 2*pi
0 < phi < pi
Using the Divergence Thrm, calculate Flux of F = <x,y,z> across a sphere of radius 2
What is 32*Pi?
Equation of the plane containing the points (1,0,0), (0,1,0), (0,0,1).
What is x+y+z=1?
This TA has TAed ES.1802 for years and will be missed. <3
Who is Sam??