Online Homework Help Sheet
One part of your homework consists of online assignments, which will be done directly in
eClass by clicking on the assignment link.
The system randomizes numbers in the questions so that correct answers are different for
different students. Some questions ask for a numerical answer, other questions ask for a formula.
The following tables may be helpful to enter a formula.
Basic Algebra
Rule
Syntax Output
Addition (+)
x+y
x+y
Subtraction (-)
x−y
x−y
Multiplication (*)
3∗x
3x
x
Division (/)
x/y
y
Powers (ˆ)
xˆ2
x2
Trigonometry
Function
Syntax Output
Sine
sin(x)
sin x
Cosine
cos(x)
cos x
Tangent
tan(x)
tan x
Secant
sec(x)
sec x
Cosecant
csc(x)
csc x
Cotangent
cot(x)
cot x
Sine Inverse
asin(x) sin−1 x
Cosine Inverse
acos(x) cos−1 x
Tangent Inverse atan(x) tan−1 x
Predefined Values
Value
Syntax Output
Euler’s Number
e or %e
e
Pi
pi or %pi
π
Infinity
inf
∞
Imaginary
i
i
Does Not Exist
DNE
DN E
Logarithms, Exponential, and Various Functions
Function
Syntax Output
Natural Logarithm
ln(x) or log(x)
ln x
Logarithm Base-10
lg(x) log10 x
Exponential
exp(x) or eˆ(x)
ex
Absolute Value
abs(x)
|x|
√
Square Root
sqrt(x) or xˆ(1/2)
x
Notes on Parentheses
Syntax
Output
a + b/c + d a + cb + d
a+b
(a + b)/(c + d)
c+d
a
a/b/c
bc
1
(sin(x))−1
sin(x)
sin(x)2
sin2 x
Inequalities and Equations
Sign
Syntax Output
Greater Than
>
>
Less Than
<
<
Equal To
=
=
Greater Than/Equal To
>=
≥
Less Than/Equal To
<=
≤
Examples
ˆ 3 ∗ xˆ2 + 7/3 ∗ x will output 3x2 + 73 x
ˆ sin(4 ∗ x + 2 ∗ xˆ(−3)) will output sin(4x + 2x−3 )
ˆ 4 ∗ exp(2 ∗ x) + 2 ∗ ln(abs(x)) will output 4e2x + 2 ln |x|
3
ˆ 3/(x + 1) − xˆ(1/2) or 3/(x + 1) − sqrt(x) will output x+1
−
√
x