Exercises

Exercises:

1-Convert Algebraic to RPN
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a) 1+2+3+4+5+6 b) ( ( 45 + 98 ) / 87 ) / ( 789 / 9 )

c) 5³x 467.78³⁴ d)( 5 ! )^ž

e) ( 7 x (3/4)) + (5x8) - 3 f)1 /( 6 / 81 )

g) 9 x 8 + (3 x 5⁶) / 4 h)45x(7x908/786)x .123

i) (78+9) j)(234.89)^0.3452

2-Using Equation Writer Solve
Click for Solution

a) 1/n, from 1 to 98 b) n/(n+1), from 1 to 18

c)  X² + 3X + 5, from -5 to 14 d) 56!/(67-33)!

d) 546 / 3 d) ( 3 )^2.5

d) 36.5 h)sin(x)cos(y)dx dy
    from 0 to 3 to X ; from 4 to 7 to y

d) 300 j) 3^4Z =243.77, solve for Z

3-Converting Units
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a)123 oz to grams b)8906 m to mi

c)45.667 YD to km d)32 ft to cm

e)150 YD˛ to cm˛ f)1 km˛ to acre

g)1300 knot to mph h)2.34 c to kph

i)34.5 torr to atm j)598 N to dyn

k)50 atm to psi l)350 cubic inches to liters (L)

4-Using Solve and Equation Writer
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Solve Equation & Polynomials:

Equation :	Polynomials:
E-a) 7 x (3/Z) + (5xZ) ; solve for Z	P-a) X^3+2X^2-7 = 0 ; solve for X
E-b) sin(X) + (55X) = 0 ; solve for A	P-b)X^3+2X^2+7 = 0 ; solve for X
E-c) 104 - 203X + 86 = 908; solve for X	P-c) X^3+2X^2 = 0 ; solve for X
E-d) x^5 - 77 ; solve for X	P-d) 7 X^3+X^2-7X-4 = 0 ; solve for X
E-e) Y^9 + 89X^4 + 569=0 ; solve for Y, when x = 5	P-e) X^3 + 4X^2 - 7X - 10 = 0 ; solve for X

5- Join Similar Terms and Expand:
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Join Similar Terms:

Expand:

a) 45X + 89Y - 897X -9X	b) (X - 7)*(x+5)
c) 5X^2 + 89Y - 7X^2 -9X + 56Y	d)(X + 3)^2
e) 104X - 203X + 86 - 7X + 908Z+22Y+98Y	f) (Y - 2)^2
g) x^5 - 77-2X^4 - 89X^5 + 32X	h)(X + 1)^3
i) Y^9 + 89X^4 + 5X^4 + 9Y	j) (Z - 4)(Z-1)(Z+3)

6-Solve Linear System:
Click for Solution

a) 3X + 2Y - 5Z = 7 -6X + 6Y -13Z =78 31X + 72Y -14Z = 9	b) 3X + 2Y - 5Z = 7 -6X + 0Y -3Z =12 31X +-9Y -14Z = 8

c) 3X + 99Y - 5Z = 7 -6X + 6Y -13Z =78 X + 7Y -154Z = 960	d) 3X + 2Y = 7 -6X + 63Y =78

7-Solve Stat Fit Data:
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a) Find a linear function that pass by
p(2,4) p2(4,5) p3(6,9) p4(8,13) p5(14,23)
b) Find a logarithmic function that pass by
p(2,4) p2(4,5) p3(6,9) p4(8,13) p5(14,23)
c) Find a power function that pass by
p(2,4) p2(4,5) p3(6,9) p4(8,13) p5(14,23)
d) Find an exponential function that pass by
p(2,4) p2(4,5) p3(6,9) p4(8,13) p5(14,23)
e) Find a the best function that pass by
p(2,4) p2(4,5) p3(6,9) p4(8,13) p5(14,23)
f) Using the best fit find the predict value for y
when X = 8.85 and the predict value for X
when y = 5.43

8-Solve Taylor Polynomial
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a) Find a 5th order polynomial for f(x)=sin(x)
b) Find a 5th order polynomial for f(x)=X^2(x)
c) Find a 5th order polynomial for f(x)=tan(x)
d) Find a 5th order polynomial for f(x)=sin(2x)

9 - Plots
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Plot the following equations using HP48 plot.
H-VIEW -6.5 6.5
V-VIEW -3.1 3.2
Use rad, for trigonometric functions:

a) y=sin(X) - function b) y=sin(X)cos(X) -function c) y=sin(X)/X - function

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

10 - Equation Library - Click for Solutions
Click for Solution

Solve for the following variables using Equation Library:
a) Solve for F using Coulomb's Law when:
use[EQLIB] [ ELETRICITY] [COULOMB'S LAW] q1=2E- 5 C q2=7E- 6 C r=10,000 m

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

11-Areas
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a) Find the area between 2 and 3 under the curve Y=sin(x) using graph mode
b) Find the area between 2 and 3 under the curve Y=sin(x) using integration
c) Paint the area between 0 and 1 under the curve Y=sin(x)/x using graph mode
d) Find the area between 0 and 5 for Y=5

12-Matrices
Click for Solution
Invert the following matrices:

a) [ [ 1 2 3 ]
     [ 4 3 5 ]
     [ 6 7 8 ] ] b) [ [ 10 2 4 8 ]
     [ 2 -5 5 1 ]
     [ 0 1 1 2 ]
     [0 2 -2 0 ] ]

c) [ [1 2 0 ]
      [-1 2 0]
      [0 2 -2] ] d) [ [ 2.5 -.5]
     [-1 .25] ]

13-Integrals and Derivatives
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Differentiate:

a) y=5*X
b) y=4X^8 - 9X^2.5 +7X
c) y=X^4 - X^3 +7X^2- 5X +7
d) y=X^-3 - X^3 +0.75X^2- 5
e) y=2.3X^2 - X^10 +77
Integrate (numeric):

a) y=X^5+7 dx ,from 0 to 5
b) y=X^8 + X^5 +74X dx ,from 0 to 5
c) y=4X^5 - X^3 +7X^2- 5X +7 dx, from 300 to 302
d) y=Sin(2X) dx ,from 2 to 5
e) y=3X^2 - X^10 +77 dx, from 5 to 7

14-Evaluate
Click for Solution

a) y=X^5+7 for X=9.23
b) y=2.345X^2.5 + X^5 +74X for X=5.67
c) y=207Y^7 + 4X^5 - X^3 +7X^2- 5X for x=7 and y=8
d) y=Sin(2X)Cos(x) for X=9.87
e) F(w)=3X^2 - X^12 +7Y - 6Z for X=3, Y=7 and Z=-9

15-Simple Programs
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a) Make a program to sum two numbers
c) Make a program to sum three numbers
g) Make a program to calculate SQRT
i) Make a program to calculate LOG of a number
k) Make a program to sound a 1400 Hz sound

b) Make a program to call other program
d) Make a program to order VARS
h) Name a program with the reserved word UP
j) Make a program to show a string into a box
l) Make a program to show a string during 5 seconds

a) 1+2+3+4+5+6	b) ( ( 45 + 98 ) / 87 ) / ( 789 / 9 )
c) 5³x 467.78³⁴	d)( 5 ! )^ž
e) ( 7 x (3/4)) + (5x8) - 3	f)1 /( 6 / 81 )
g) 9 x 8 + (3 x 5⁶) / 4	h)45x(7x908/786)x .123
i) (78+9)	j)(234.89)^0.3452

a) 1/n, from 1 to 98	b) n/(n+1), from 1 to 18
c) X² + 3X + 5, from -5 to 14	d) 56!/(67-33)!
d) 546 / 3	d) ( 3 )^2.5
d) 36.5	h)sin(x)cos(y)dx dy from 0 to 3 to X ; from 4 to 7 to y
d) 300	j) 3^4Z =243.77, solve for Z

a)123 oz to grams	b)8906 m to mi
c)45.667 YD to km	d)32 ft to cm
e)150 YD˛ to cm˛	f)1 km˛ to acre
g)1300 knot to mph	h)2.34 c to kph
i)34.5 torr to atm	j)598 N to dyn
k)50 atm to psi	l)350 cubic inches to liters (L)

Plot the following equations using HP48 plot. H-VIEW -6.5 6.5 V-VIEW -3.1 3.2 Use rad, for trigonometric functions:

a) y=sin(X) - function	b) y=sin(X)cos(X) -function	c) y=sin(X)/X - function
d) y=3sin(3X)- polar	e) '3X2 - 2Y2 + 2' conic	f) col 1= [[0.5][1.1][2][3][3.9]] bar

a) [ [ 1 2 3 ] [ 4 3 5 ] [ 6 7 8 ] ]	b) [ [ 10 2 4 8 ] [ 2 -5 5 1 ] [ 0 1 1 2 ] [0 2 -2 0 ] ]
c) [ [1 2 0 ] [-1 2 0] [0 2 -2] ]	d) [ [ 2.5 -.5] [-1 .25] ]