Exercises
Exercises
 Exercises for HP48/49 Calculators: VIEW SOLUTIONS

1-Convert Algebraic to RPN
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 a) 1+2+3+4+5+6 b)  ( ( 45 + 98 ) / 87 ) / ( 789 / 9 ) c) 53 x 467.7834 d)( 5 ! )¾ 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
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 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) 34Z =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 YD² to cm² f)1 km² 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:
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 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
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 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
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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
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 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  b) Make a program to call other program  c) Make a program to sum three numbers  d) Make a program to order VARS  f) Name a program with the reserved word UP  e) Make a program to calculate SQRT  h) Make a program to show a string into a box  g) Make a program to calculate LOG of a number  i) Make a program to sound a 1400 Hz sound j) Make a program to show a string during 5 seconds

 Everything worth if the soul is not short. - Fernado Pessoa