Activities
747
Finding the Minimum Surface Area Analytically
Finding the Minimum Surface Area Analytically
Finding the Minimum Surface Area Analytically
Finding the Minimum Surface Area Analytically
Perform the following steps to solve the problem analytically on the Home screen.
2. Select the 3D Graph mode. Then enter
the function for
z1(x,y)
as shown in this
example with volume
v=300
.
3. Set the Window variables to:
eye= [60,90,0]
x=
[0,15,15]
y=
[0,15,15]
z=
[260,300]
ncontour= [5]
4. Graph the function and use
Trace
to go to
the point close to the minimum value of
the surface area function.
1. Solve for
x
and
y
in terms of
v
.
Enter:
solve(d(sa(x,y,v),x)=0
and
d(sa(x,y,v),y)=0,{x,y})
Summary of Contents for Voyage 200
Page 36: ...Getting Started 36 D B D B Press Result ...
Page 45: ...Getting Started 45 3 0 D B D D B D Press Result ...
Page 46: ...Getting Started 46 D 2 0 0 2 D B Scroll down to October and press Press Result ...
Page 60: ...Getting Started 60 B D Press Result ...
Page 139: ...Previews 139 8 Complete the operation Press 2 d Steps and keystrokes Display 5 f 2 ...
Page 453: ...Differential Equation Graphing 453 ...
Page 468: ...Tables 468 ...
Page 777: ...Activities 777 ...
