Exercises for HP48/49 Calculators: | VIEW SOLUTIONS |
1-Convert Algebraic to RPN
Click for Solution
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
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) 34Z =243.77, solve for Z |
3-Converting Units
Click for Solution
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
Click for Solution
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:
Click for Solution
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:
Click for Solution
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
|
8-Solve Taylor Polynomial
Click for Solution
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
Click for Solution
Plot the following equations
using HP48 plot.
| ||
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:
b) Find
the volume and area of a sphere of radius 5
c) Solve
for x using equation X = Xo + Vo.t + 0.5 a.t^2
t=21 s a=3.2 m/s^2 |
11-Areas
Click for Solution
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
Click for Solution
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
Click for Solution
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
|