Multivariable Mashup

VectorVolcano

100

This is the dot product of 

<2,3,4> and <-2,-3,4>

What is 3?

250

This is the unit vector for <12 0 5>.

What is <(12/13) 0 (5/13)>?

500

This is the cross product of 

<6 3 5> and <2 0 1>

What is <3 4 -6>

750

This is the derivative of 

<t² -sint e^tt³>

What is <2t -cost 3t²e^t+t³e^t>

Quadric SurfaceQuake

100

I am this function's quadric surface:

Z=2x

What is a plane?

250

I am this function's quadric surface:

x^2/4 + y^2/9+z^2 = 1 

What is an Ellipsoid?

500

I am the quadric surface of this function:

(x-4)^2+(y-9)^2+z^2=100

What is a sphere?

750

I am the quadric surface of this function:

x^2/25 + y^2-z^2 = 1

What is a hyperboloid of one sheet?

Partial DerivativePalace

100

This is the Fy of x^2 + 2y.

What is 2?

250

This is the Fx of x²*6y.

What is 12xy or 2x6y?

500

This is the Fyx of x³cosy.

Double points if you name both Fy and Fyx

Two parts:

Fy: What is -x³siny?

Fyx:What is -3x²siny?

750

This is the Fxx of x²y+y³3x.

Double points if you say both Fx and Fxx

Two parts:

Fx: What is 2xy+3y³ ?

Fxx: What is 2y?

Assorted Awesomeness

100

This is the limit as (x,y) approaches (9,1) of x²/e^x-1

What is 81?

250

For a function to be differentiable, it must be this.

What is smooth and continuous?

500

A particle has a position vector at <2t t² t³> 

This is the particle's speed at t=0:

What is 2?

750

This is the best Multivariable Calculus Teacher!

Who is Mrs.Berry?