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What is the gradient of f(x,y)=10xy

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Multivariable Calculus

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Answers

1
What was our presentation on?
Bunnies
Multivariable Calc
Single Variable Calc
Cell Walls
2
What is the gradient of f(x,y)=10xy
10xy
<10y,10x>
10x+y
<10x,10y>
3
Find the dot product of the vectors <x,y> and <3,4>
4x+3y
7+x+y
3x+4y
12xy
4
What does this represent?
Finding Line Integrals
Triple Integrals
Double Integrals
Finding derivatives
5
What is the partial derivative with respect to x of f(x,y)=3xy
3y
3
3y+x
3x
6
What is this?
Graph of Partial Derivative
Directional Derivative
Gradient
Vector Field
7
What can be thought of as calculus origami?
Contour Maps
Visualization through Transformations
Fluid Particles on a Vector Field
d/dx origami
8
What is an application of partial derivatives?
Tangent lines
Gradients
Tangent Planes
Integration
9
How can you find a volume in multivariable calc?
triple integral
Line integral
derivatives
double integral
10
Who are we?
Sophia Pheobe
Sofia and Phoebe
Sofie Pheobe
Sophie Phoebe