Plot the graph of the relation

and the graphs of the tangent lines to this curve at the points (8,8) and (-8,-8).

Using Microcalc:

- Choose
*Beginning Calculus*from the initial menu and press . - Use the arrow keys to move to the menu item
*Graph F(x,y)=c*, press and . - At the prompt
*F(x,y) =*, enter the formulax^(2/3) + y^(2/3) - and use the bounds
- x0 = -25 x1 = 25
- y0 = -25 y1 = 25

- At the prompt,
*N =*, enter 1 and - at the prompt,
*c_1 =*, enter 8 You will then see the graph of this relation. - Press .
- Use the arrow keys to move to
*Superimpose*and press . - At the prompt,
*F(x,y)=*, type in y+x . - At the prompt
*N=*just enter 2 and - at each of the following prompts, enter
- c_1 = -16
- c_2 = 16