MATLAB by rudra pratap

8.5 Using MuPAD Notebook
245
Define a function
f: -Cx-1)*(x-a)•(•+PI)*(n2)*(•+3)
l -(n:+x}\a-x}(x- t}(x+2Hx ·+ 3} +
rs:expand(f)
Muitiply out the e_xpre_ssion with •expand(:$
MuPAD output
l 6 ;r a -6 ;t .\' + 6 a x.+ .t x 1 + 4 t£. xJ + n /-fl :/'-4 a :l - a / - 6 .x 1 + i + 4 / • :i - :tax-4 ;;;: a x
Solve glxl = 0 for x +----
r soln: -solvo(9·•_)
l ( -3. -2, !,a. -}
Extract the flrs.t -element from the solution
r soln[l]
l ·3
Evaluate g(X) at x=-3 (the ftrst solution)
[(:) I xsoln[l]
Take the limit of g(x)fx as x goe-s to pi
limit(g/x, xPt)
l (:t -1}(;n-2){a+l}(:2- :t-2a)
[evalA.t(%, a-PI/2)
[fplot :-plot: :FuncHon3d(f,
Evaluate the answer at a = pl/2
:': (:t -1} (:!-+ 2} (A + 3}
X•-PL .PI, a -PL .PI);
plot:Function3d( -(:t x} {a -x) (x -I} (x + 2) (x + 1}. x ... -a ."t. a "" -;t .. a)
Text (comment) area
1-n ax?
ffdx. !I. !1n l.
{.,,...,t f=>t
fix-a
it;:;: ••• a=o a:=i>
.
a+b n! r-> f(x
.sin a •• {x1 ire;_
e .. oo u. .. n -
.
ill!!) @:!
• Cerreral Mat h
,.. PlotCommands
plot(fplot)
Figure 8.1: A typical session in a MuPAD Notebook MuPAD notebooks are invoked
by typing mupad on the MATLAB command line. Once the Notebook opens, you
are in the native MuPAD environment. All commands typed here must confirm to
MuPAD syntax. Compare these commands with those shown in Fig. 8.2 used in
the Symbolic Math Toolbox for the same set of calculations.