数学建模Word文档格式.docx
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数学建模Word文档格式.docx
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>
(60*1.1+70*1.3+80*1.2)/(1.1+1.3+1.2)
ans=
70.2778
x=567.889;
sqrt(x)
23.8304
symsx
x=0.0368;
0.1918
symsab
a=2.3;
b=4.89;
sqrt(a^2+b^2)/abs(a-b)
2.0864
x=pi/3;
sqrt(sin(x)+cos(x))/abs(1-x^2)
12.0962
x=1.23;
atan(x)+sqrt(log(x+1))
1.7837
symsxf
x=-2.1;
f=2-exp(x*log(3))*log(abs(x))
f=
1.9261
symsxy
x=0:
0.1:
2;
y=2*sqrt(x);
plot(x,y,'
b:
x'
)
x=-20:
0.2:
-15;
y=log(abs(x+10));
m-x'
x=-10:
10;
y=sin(x/2-pi/2);
r--+'
x=0:
4*pi;
y=sin(2*x+pi/3);
m:
o'
symsxy1y2
2*pi;
y1=cos(3*sqrt(x));
y2=3*cos(sqrt(x));
plot(x,y1,'
c-x'
x,y2,'
r--*'
①>
symsxy1y2y3
x=-5:
5;
y1=(x.^2);
y2=(x.^3);
y3=(x.^4);
r-*'
x,y3,'
c:
②
symsxyzt
t=0:
pi/50:
x=t.^2;
y=sin(t);
z=t;
plot3(x,y,z)
symsuvxyz
u=0:
v=0:
x=(1+cos(u)).*cos(v);
y=(1+cos(u)).*sin(v);
z=sin(u);
limit(sin(sqrt
(2)*x)/sqrt(1-cos(x)),x,0,'
right'
2
limit((1/3)^(1/(2*x)),x,0,'
limit(x*cos(x)/sqrt(1+x^3),x,+inf)
limit(((x+1)/(x-1))^(2*x),x,+inf)
ans=exp(4)
>
limit((1-cos(2*x))/(x*sin(x)),x,0)
limit((sqrt(1+x)-sqrt(1-x))/x,x,0)
1
limit((x^2+2*x+1)/(x^2-x+2),x,+inf)
y=(2*x-1)^5+atan(x);
diff(y)
10*(2*x-1)^4+1/(1+x^2)
y=(x*tan(x))/(1+x^2);
tan(x)/(1+x^2)+x*(1+tan(x)^2)/(1+x^2)-2*x^2*tan(x)/(1+x^2)^2
symsxy
y=exp(-3*x)*tan(x);
-3*exp(-3*x)*tan(x)+exp(-3*x)*(1+tan(x)^2)
y=2*log(x)+(sin((pi*x)/2))^2;
f=diff(y)
2/x+sin(1/2*pi*x)*cos(1/2*pi*x)*pi
a=subs(f,'
1'
a=
2/
(1)+sin(1/2*pi*
(1))*cos(1/2*pi*
(1))*pi
eval(a)
2
y=(1-x)/(1+x);
diff(y,2)
2/(1+x)^2+2*(1-x)/(1+x)^3
y=(((x-1)^3)*((3+2*x)^2)/((1+x)^4))^(1/5);
1/5/((x-1)^3*(3+2*x)^2/(1+x)^4)^(4/5)*(3*(x-1)^2*(3+2*x)^2/(1+x)^4+4*(x-1)^3*(3+2*x)/(1+x)^4-4*(x-1)^3*(3+2*x)^2/(1+x)^5)
最小值求法:
f='
((x-1)^3)*(x^(5/2))'
;
[x,y]=fminbnd(f,0,5)
x=
0.4546
y=
-0.0226
f='
3*(x^4)-4*(x^3)+1'
[x,y]=fminbnd(f,-inf,+inf)
NaN
y=(log(3*x)-2*sin(x));
int(y)
log(3*x)*x-x+2*cos(x)
y=exp(x)*((sin(x))^2);
1/5*(sin(x)-2*cos(x))*exp(x)*sin(x)+2/5*exp(x)
y=(x*atan(x))/(sqrt(1+x));
2/3*atan(x)*(1+x)^(3/2)-2*atan(x)*(1+x)^(1/2)-4/3*(1+x)^(1/2)-1/6*log(3*x+3-3^(1/2)*(6*2^(1/2)+6)^(1/2)*(1+x)^(1/2)+3*2^(1/2))*3^(1/2)*(6*2^(1/2)+6)^(1/2)+1/9*log(3*x+3-3^(1/2)*(6*2^(1/2)+6)^(1/2)*(1+x)^(1/2)+3*2^(1/2))*3^(1/2)*(6*2^(1/2)+6)^(1/2)*2^(1/2)+4/3/(-2+2*2^(1/2))^(1/2)*atan(1/3*(6*(1+x)^(1/2)-3^(1/2)*(6*2^(1/2)+6)^(1/2))/(-2+2*2^(1/2))^(1/2))*2^(1/2)-1/3/(-2+2*2^(1/2))^(1/2)*atan(1/3*(6*(1+x)^(1/2)-3^(1/2)*(6*2^(1/2)+6)^(1/2))/(-2+2*2^(1/2))^(1/2))*(6*2^(1/2)+6)+2/9/(-2+2*2^(1/2))^(1/2)*atan(1/3*(6*(1+x)^(1/2)-3^(1/2)*(6*2^(1/2)+6)^(1/2))/(-2+2*2^(1/2))^(1/2))*(6*2^(1/2)+6)*2^(1/2)+1/6*log(3*x+3+3^(1/2)*(6*2^(1/2)+6)^(1/2)*(1+x)^(1/2)+3*2^(1/2))*3^(1/2)*(6*2^(1/2)+6)^(1/2)-1/9*log(3*x+3+3^(1/2)*(6*2^(1/2)+6)^(1/2)*(1+x)^(1/2)+3*2^(1/2))*3^(1/2)*(6*2^(1/2)+6)^(1/2)*2^(1/2)+4/3/(-2+2*2^(1/2))^(1/2)*atan(1/3*(6*(1+x)^(1/2)+3^(1/2)*(6*2^(1/2)+6)^(1/2))/(-2+2*2^(1/2))^(1/2))*2^(1/2)-1/3/(-2+2*2^(1/2))^(1/2)*atan(1/3*(6*(1+x)^(1/2)+3^(1/2)*(6*2^(1/2)+6)^(1/2))/(-2+2*2^(1/2))^(1/2))*(6*2^(1/2)+6)+2/9/(-2+2*2^(1/2))^(1/2)*atan(1/3*(6*(1+x)^(1/2)+3^(1/2)*(6*2^(1/2)+6)^(1/2))/(-2+2*2^(1/2))^(1/2))*(6*2^(1/2)+6)*2^(1/2)
y=(2*x-cos(x))/exp(x^2);
Warning:
Explicitintegralcouldnotbefound.
InC:
\MATLAB6p5\toolbox\symbolic\@sym\int.matline58
int((2*x-cos(x))/exp(x^2),x)
y=(3*x+2)/exp(x);
int(y,0,1)
-8*exp(-1)+5
eval(ans)
2.0570
y=(x^2+1)*acos(x);
int(y,0,1)
11/9
y=cos(x)*log(x+1);
sin
(1)*log
(2)-1/2*i*exp(-i)*Ei(1,-2*i)+1/2*i*exp(i)*Ei(1,2*i)
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