Exercises - Solutions

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1-Algebraic to RPN -Solutions:
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a) 1 2 3 4 5 + + + + R: 15	b) 45 98 + 87/ 789 9 / / R: 0.136927647109	c) 5 3 Y^x 467.78 34 Y^x R: 7.5565941485E92	d) 5 ! 3 4 / Y^x R: 36.2565047683 Use: a [DEL] to write " ! "	e) 7 3 4 / * 5 8 * + 3 - R:42.25
f) 1 6 81 / / R:3.67423461417	g) 9 8 * 3 5 6 Y^x * 4 + R: 11790.75	h) 45 7 908 * 786 / * .123 * R: 44.7588549618	i) 78 9 + R: 9.32737905309	j) 234.89 .3452 Y^x R:6.58297847487

2-Using Equation Writer - Solutions:
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Screenshot for exercice a
Screenshot for exercice c

a) 5.16727650751 b) 15.4522603428

c) 1307.8333333333 d) 2.40826422443E36

e) 13.4907375632 f) 3.94822203886

g) 3.31714371843 h) 2.81342968889

i) 2.58734023677 j) 1.25071993425

3-Converting Units - Solutions:
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a)123 oz = 3486.99134438 g	b)8906 m = 5.53393183807 mi
c)45.667 YD = 0.0417579048	d)32 ft = 975.36 cm
e)150 YD² = 1254191.04 cm²	f)1 km² = 247.104393047 acres
g)1300 knot = 1496.01328243 mph	h)2.34 c = 2525451666.19 kph
i)34.5 torr = 4.53947368421E-2 atm	j)598 N = 59,800,000 dyn
k) 50 atm = 734.797438776 psi	l)350 cubic in = 5.7354724 liters (L)

4-Solve and Equation writer - Solutions:
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E-a)2.04939479441	P-a)(-1.7144088,1.399984);(-1.7144088,-1.399984); (1.428817701,0)
E-b)0 (zero)	P-b)(0.42868302, -1.50533700); (0.42868302, +1.50533700) (-2.897366046,0)
E-c) -3.53694581281	P-c) 0, 0, 2
E-d) 2.38395550345	P-d)0.5151138047128 , 2.14133611566, 3.62619806853
E-e) -3.53694581281	P-e) -5, 2 ,-1

5-Join Similar Terms & Expand - Solutions:
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a)-861X + 89Y	b) X^2 - 2X-35
c) -2X^2 - 9X +145Y	d) 9+x^2 + 6X
e) 86 -106X +120Y + 908Z	f) 4 + Y^2 -4Y
g) -77 -2X^4 - X^5 + 32X	h) 1 + 3X^2 +X^3 + 3X
i) 94 +X^4 + y^9 + 9y	j) 12+z^3 -2Z^2 - 11Z

6- Linear System - Solutions:
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a) X=-4.258561644 Y=1.289811644; Z=-3.439212329	b) X=-0.906382978 Y=-0.608510638 Z=-2.187234043
c) X=0.274599566 Y=-0.252941424 Z=-6.243480457	b) X=1.417910448 Y=1.373134328

7-Solve Stat Fit Data - Solutions:
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a)Linear Fit: -.490566037736 + 1.66037735849X

b)Logarithm Fit:-5.85427750926 + 9.69433026628 LN(X)

c)Exponential Fit:3.18187591457EXP(.150177816434X)

d)Power Fit:1.7474434559X^{0.943296197549}

e)Best Fit: -.490566037736 + 1.66037735849X

f)Predict Value for X=8.85: y=14.2037735849

f)Predict Value for y=5.43: y=3.56579545455

8-Solve Taylor Polynomial . Use SYMBOLIC to accessTaylor Polynomial.
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a) f(x)=sin(x) : X - 1 / 3!*X^3 + 1 / 5!*X^5

b) f(x)=X^2(x) : X^2

c) f(x)=tan(x) : X + 2 / 3!*X^3 + 16 / 5!*X^5

d) f(x)=sin(2x) : 2X -8 / 3!*X^3 + 32 / 5!*X^5

9-Plots - Solutions:
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y=sin(X) - function
y=sin(X)cos(X) - function
y=sin(X)/X - function

y=3sin(3X)- polar
'3X² - 2Y² + 2' conic

col 1= [[0.5][1.1][2][3][3.9]] bar

10 - Equation Library - Solutions
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Solve for the following variables using Equation Library:

a) Solve for F using Coulomb's Law:
use[EQLIB] [ ELETRICITY] [COULOMB'S LAW]

q1=2E- 5 C

q2=7E- 6 C

r=10,000 m
F=1.25825725022E-4_N

b) Find the volume and area of a sphere of radius 5
use[EQLIB] [ SOLID GEOMETRY] [SPHERE]

A=314.1592653cm_^2
V=523.5987755cm_^3

c) Solve for x using equation X = Xo + Vo.t + 0.5 a.t^2
use[EQLIB] [ MOTION] [LINEAR MOTION]

Xo=5 m

vo = 9 m/s

t=21 s

a=3.2 m/s^2

X = 899.6_m

11-Areas
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a)Y=sin(x) : A=0.573845990053

b) Y=sin(x): A=0.573845990053

c)Shade for Y=sin(x)/x

d) y=5: A=25

12-Matrices - Solutions:
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a)
[[-.7333333333 .33333333333 6.666666666E-2]
[-.13333333333 -.6666666666 .46666666666]
[.666666666666 .33333333333 -.33333333333]]

b)
[
[.16666666666     -.33333333333 -.5     -.75]
[.33333333333   -1.6666666666   -.5      -3.75]
[.33333333333    -1.6666666666   -.5      -4.25]
[-.33333333333    -1.6666666666     1          4]
]
c)
[[.5 -.5 0]
[.25 .25 0]
[.25 .25 -.5]]

d)
[[2 4]
[8 20]]

13-Derivatives and Integrals - Solutions:
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Differentiate:
a) 5
b) 7 + 32X^7 -22.5X^1.5
c) 4X^3 - 3X^2 + 14X - 5
d)-3x^- 4 -3 X^2 +1.5
e)4.6X-10X^9
Integrate (numeric):
a) 2639.16666666
b) 220543.0555555
c) 1.9766841163 E13

d) y=Sin(2X) dx ,from 2 to 5
A=0.92713954106
e) -175317684.181

14-Evaluate - Solutions:
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Use {X value} | . Press 9 [NXT], after [ | ], in menu and press [ENTER] to evaluate.
Ex:
Evaluate y=Sin(2X)Cos(X) for X=9.87
Write in level 1:
'Sin(2X)*Cos(X)' and press [ENTER]
Continue writting:
{X 9.87} 9 [NXT], press [ | ] in menu and press [ENTER]
It must appear:
R:-.701571149738

Solutions:

a) y=X^5+7 for X=9.23
66996.7728421

b) y=2.345X^2.5 + X^5 +74X for X=5.67
6288.23941576

c) y=207Y^7 + 4X^5 - X^3 +7X^2- 5X for x=7 and y=8
use {X 7 Y 8} |
434177657
d) y=Sin(2X)Cos(x) for X=9.87
-.701571149738

e) F(w)=3X^2 - X^12 +7Y - 6Z for X=3, Y=7 and Z=-9
use {X 7 Y 8 Z -9} |
-531311

15-SIMPLE PROGRAMS - SOLUTIONS:
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Make programs depends on creativity of everyone.
Go to ON SCREEN PROGRAMS.
There you can find more than 60 examples of programs.

Screenshot for exercice a	Screenshot for exercice c
a) 5.16727650751	b) 15.4522603428
c) 1307.8333333333	d) 2.40826422443E36
e) 13.4907375632	f) 3.94822203886
g) 3.31714371843	h) 2.81342968889
i) 2.58734023677	j) 1.25071993425

y=sin(X) - function	y=sin(X)cos(X) - function	y=sin(X)/X - function

y=3sin(3X)- polar	'3X² - 2Y² + 2' conic	col 1= [[0.5][1.1][2][3][3.9]] bar