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Draw three dimensional graphs of a. $F(x, y)=2 \quad$ b. $\quad F(x, y)=x$C. $F(x, y)=x^{2} \quad$ d. $\quad F(x, y)=(x+y) / 2$e. $F(x, y)=0.2 x+0.3 y \quad$ f. $\quad F(x, y)=\left(x^{2}+y^{2}\right) / 4$g. $F(x, y)=0.5 x e^{-y} \quad$ h. $\quad F(x, y)=\sin y$i. $\quad F(x, y)=0.5 x+\sin y \quad$ j. $\quad F(x, y)=x \sin y$$\mathrm{k}$. $F(x, y)=\sqrt{x^{2}+y^{2}} \quad$ 1. $\quad F(x, y)=x y$m. $\quad F(x, y)=\frac{1}{0.4+x^{2}+y^{2}} \quad$ n. $\quad F(x, y)=e^{\left(-x^{2}-y^{2}\right)}$O. $F(x, y)=|x y| \quad$ p. $\quad F(x, y)=\sin \left(x^{2}+y^{2}\right)$

Calculus 3

Chapter 13

Two Variable Calculus and Diffusion

Section 1

Partial derivatives of functions of two variables

Partial Derivatives

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Lectures

12:15

In calculus, partial deriv…

04:14

06:25

Sketch the graph of $f$ if…

00:49

Use a graphing utility to …

05:38

Sketching Graphs of sine o…

00:53

01:55

Sketch the indicated trace…

04:41

Sketch the graphs of $f$ a…

01:19

01:42

Graph $f(x)=\frac{\sin \le…

05:40

02:42

( Let $F(x)=\sin x, G(x)=x…

00:54

01:40

Sketch the graph of the fu…

02:14

(a) How is the graph of $ …

02:53

Shown below is the graph o…

00:41

Sketch a contour plot.…

00:58

08:20

01:25

17:45

Draw graphs of each of the…

In this question, we have to sketch the graph of the function. This question consists of 10 parts. We will start with part a f of x, equals to 2 to the power x. Here is our graph. This is our x axis, and this is our y axis. This curve represents function f of x, moving to part b f of x, equals to minus 2 to the power x. Here is our graph. This is our x axis, and this line represents r y x and this care represents function f of x now. Moving to part c f of x, equals to 3 multiplied by 2 to the power x. Here is our graph. This is our x axis. This is our y axis, and this curve represents function f of x now, moving to part d f of x, equals to 2 to the power x plus 3. Here is our graph. This is our x axis is plainly presents x axis, and this is a by x and this curve. We present function f of x now, move into part e f of x, equals to 2 to the power x plus 3. Here is our graph. This line represents x axis, and this is y x, and this represents function f of x now, moving to part f of x equals to 2 to the power x. Minus 3 here is our graph. This is our axis. This is our y xisthis curve represents fox. Now, moving to part g f of x equals to 2 to the power x. Minus 3. Here is our g. This is our x x. I this is our y axis, and this curve represents function f of x now, moving to part, h, f of x, equals to 2 to the power minus x. Here is our graph. This is our x axis. This is our y x and this can represent function. F of x now, moving to part, i f of x, equals to 1 by 2 to the power x. Here is our graph. This is our x axis. This is our y axis, and this cove represents function f of x now. Moving to last part, which is part, j f of x, equals to 1 by 2 to the power x. Here is our graph. This is our xaxisthis is our y axis, and this curve represents function f of x. Thank you.

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