User Guide – Calculus Made Easy
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Description |
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1) General usage of the TI89/Voyage200 |
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a)
Multiplication of variables |
x*y^2, x*cos(x) |
xy^2, xcos(x) |
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b)
Enter .5 instead of ½ to obtain decimal answers. |
use ½*x or .5*x |
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c)
Roots: i.e. 3√x |
x^(1/3) |
3√x |
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d)
Denominators |
1/(x-2) |
1/x-2 |
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e)
Squaring sin(x) |
sin(x)^2 or (sin(5x))^2 |
sin(x^2) sin^2(5x) |
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f)
Parentheses: |
ln(sin(5x))/(x^2-1) |
lnsin(5x)/x^2-1 |
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g)
Euler Number |
e (using Diamond e^x) |
e (Alpha e) |
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2)
General usage of CME |
a) Use
ESC to exit the current module or CME altogether. b)
Incorrect Entries – see above - yield the error message: “Invalid Entry”.
Press ENTER and correct expression. c) To force
decimal answers, use decimal input (see also 1b) d)
Provide 160,000 bytes of RAM and 290,000 of Flash ROM (to check:2nd 6). Deleting or archiving files may be
necessary: use 2nd “–“ (VAR-LINK), F4 to
select files, then F1 to delete or archive. Archiving might be a good way to
manage programs, variables, etc as a loss of battery power may delete any
unarchived files. e) When
using CME, its program files are temporarily placed in the MAIN folder. Thus,
empty MAIN folder when starting CME to prevent any file reoccurrences (and
thus loading error). f)
Should Calculus Made Easy not start (anymore) or act strange, reset ALL
memory (2nd 6, then F1) as memory may be corrupted. g) Use
the latest Operating System (OS) using TI Connect. |
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2)
An Answer Exceeds Screen (Ex: MRAM in Area Approximation Module) |
How to correct it: Use Decimal point for 1 entry.
Here, the left endpoint a=1.0 (not 1) |
Corrected display
fits screen: |
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3)
Functions |
When asked
to enter f(x)
you must enter a term in terms of the variable x. |
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1) f(x)=2*x*y |
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4)
Continuity of piecewise defined functions. |
Enter
the two parts called y1(x) and y2(x) of a piecewise defined function. Include
the coefficient a (which is to be determined here to make this function
continuous). |
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1) f(x)=ax |
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5)
Implicit Differentiation problems |
Enter
an equality using x and y. |
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1) xy=1 2) x^2+y^2 (forgot = and the right side) |
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6)
Differential Equations (I) |
Enter a
differential equation in terms of x and y.
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1) dy/dx=xy/2 |
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7)
Differential Equations (II) |
Enter a
differential equation in terms of y. |
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1) dy/dx=ky |
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8)
Volume Problems |
Enter
functions R(x) and r(x) both in terms of x. R(x) is the function with the
greater radius, r(x) has the smaller radius.
Lower bound
is a, upper bound is b. |
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9)
Motion Problems |
Motion
problems such as s(t), v(t) or a(t) require
functions in terms of t. Lower
bound is a, upper bound is b. |
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10)
Parametric Equations |
Enter parametric
equation in terms of t. |
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1) xy=1 2) x^2+y^2 (forgot = and the right side) |
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11)
Polar Equations |
Enter a
polar curve in terms of Ө. |
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1) 2*cos(3x) (must use theta) 2) 45º (all angles are in radian.) |
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12)
Sequences |
Enter
n-th term = explicit formula of a sequence. |
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13)
Power Series |
Enter
n-th term of a Power Series. |
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14)
Taylor Series |
Enter a
function in terms x to find the corresponding Taylor Series. |
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15)
Multivariable Functions I f(x,y) |
Enter a
function in terms of x and y. |
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1) xy 2) x^2+y^2 |
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16)
Multivariable Functions II f(x,y,z) |
Enter a
function f in terms of x,y
and z. |
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1) xyz |
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17)
Multivariable Functions III
f(x,y,z)
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Enter a
function f in terms of x,y
and z. And enter x(t) and y(t) as
functions of t. |
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18)
Vector Calculus (I) |
Typically,
use vector notation to enter Vector Functions. Similarly, use vector notation
to describe the variables involved. Ex: Divergence, Derivative, Integral. |
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19)
Vector Calculus (II) |
Warning: At times a scalar functions (no
vector, no brackets) needs to be entered. I.e. when computing Gradients or
Directional Derivatives. So watch the displayed sample entries in the dialog
boxes closely. |
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