Question

of MATLAS CHAPTER + An Owens Use MATLAB to calculate 6X7)+70-145 48.2855) - 9 c27310* +60(14) Check your answers with a calculator Use MATLAB to compute the following expression 16- 16-12 c. 161-12 d. 642 More UAB expression 23 d. 1003 st and smalle lculations there low and under he calculate TLAB todo the te 7. What answer is produced by the following MATLAB a. 1004-1 1004-1/2 c. 100(-1/2) The functions realmax and realmin give the largest sible numbers that can be handled by MATLAB. Calcula numbers that are too large or too small result in overflow Usually this does not present a problem if you arrange the ca sequence properly. Type realmax and realmin in MATLA mine the upper and lower limits for your system. For exampl you have the variables a = 3 x 100.5 = 5 x 10-0. a. Use MATLAB to calculate c = ab. temp indi V uni ample. suppe BU ays. 1) by calci by splitting up b. Suppose d = 5 x 10-20, use MATLAB to calculate f = dla. c. Use MATLAB to calculate the product r = abd two ways, i) by lating the product directly as x = a*b*d and then il) by splitting calculation as y - bed and then x any. Compare the results 10. The volume of a circular cylinder of height hand radius ris given he V = xrh. A particular cylindrical tank is to m tall and has a radius of We want to construct another cylindrical tank with a volume 30 perce greater but having the same radius. How high must the tank be 11. The volume of a sphere is given by V r ys, where is the radius MATLAB to compute the radius of a sphere having a volume 40 percent greater than that of a sphere of radius 4 ft 12. Suppose that x = -7 - Stand y = 4 + 31. Use MATLAB to compute axty bro cry 13. Use MATLAB to compute the following. Check your answers by hand, a. (3 + 6/)(-7- yi b .5+41 5-4 CM d. 14. Evaluate the following expressions in MATLAB, for the values y = -6 + 7i. Check your answers by hand. b. C. WE =5+ a. u= x + y d.z=e

Answer 1

Solution:

6.a.

syms a
a=(3/4)*6*(7)^2+4^5/(7^3-145)

Output:

a =

225.6717

6.b.
syms a
a=((48.2)*55-9^3)/(53+14^2)

Output:
a =

7.7189
6.c.

syms a
a= 27^2/4+329^(4/5)/5+60*(14)^-3

output:
a =

202.9155

7.a.

syms a

a=16^-1

answer

a =

0.0625

7.b.

a=16^-(1/2)

answer

a =

0.2500

7.c.

a=16^-(1/2)

answer

a =

0.2500

7.d.

a=64^(3/2)

answer

a =

512

8.a.

a=100^-1

answer

a =

0.0100

b.

a=100^-1/2

answer

a =

0.0050

c.

a=100^(-1/2)

answer

a =

0.1000

d.

a=100^3/2

answer

a =

500000

9.a.

a=3*10^1500;

b=5*10^200;

c=a*b

answer

c =

Inf

9.b.

a=3*10^1500;

b=5*10^200;

d=5*10^-200;

f=d*b*a

answer

f =

Inf

9.c.1.

a=3*10^1500;

b=5*10^200;

d=5*10^-200;

x=a*b*d

answer:

x =

Inf

9.c.2.

a=3*10^1500;

b=5*10^200;

d=5*10^-200;

y=b*d
x=a*y

answer:

y =

25.0000

x =

Inf

10.

h1=10;
r1=6;
v1=pi*r1^2*h1
v2=v1*130/100
h2=v2/(pi*r1^2)

answer:

v1 =

1.1310e+003

v2 =

1.4703e+003

h2 =

13

11.

r1=4;
v1=4/3*pi*r1^3
v2=v1*140/100
r2=(v2*3/4/pi)^(1/3)

answer:

r2 =

4.4748

12.

syms i
i= (-1)^(1/2);
x=-7-5*i;
y=4+3*i;
a=x+y
b=x*y
c=x/y

answer:

a =

-3.0000 - 2.0000i

b =

-13.0000 -41.0000i

c =

-1.7200 + 0.0400i

13.

syms i
i= (-1)^(1/2);
a=(3+6*i)*(-7-9*i)
b=(5+4*i)/(5-4*i)
c=3/2*i
d=3/(2*i)

answer:

a =

33.0000 -69.0000i

b =

0.2195 + 0.9756i

c =

0.0000 + 1.5000i

d =

0.0000 - 1.5000i

14.

syms i
i= (-1)^(1/2);
x=5+8*i;
y=-6+7*i;
u=x+y
v=x*y
w=x/y
z=exp(x)
r=y^(1/2)
s=x*y^2

answer:

u =

-1.0000 +15.0000i

v =

-86.0000 -13.0000i

w =

0.3059 - 0.9765i

z =

-2.1594e+001 +1.4683e+002i

r =

1.2688 + 2.7586i

s =

6.0700e+002 -5.2400e+002i