WebAssign Symbolic Formatting

This question requires that you enter your response in symbolic format.

To do this, use the buttons and keyboard to enter your response.

You will be given credit for any formula that is evaluated to be equivalent to the answer formula.
For example, 4x + 12 would be equivalent to 4(x + 3).

On the left are commonly used buttons for multiplication, division, exponents, fractions, and square roots.

The √x button on the top contains simple functions such as radicals and logarithms.

Use the symbol , located in the 'symbols' button. 3.14 is a numerical approximation of the symbol and these are not equivalent.
Additional symbols of phi, omega, theta, and infinity are located in the 'symbols' button.
Menus for the remaining capital and lower case Greek letters are also located in the 'symbols' button.

The trignometry button (displayed as 'sin') contains all the trignometry, hyperbolic, and inverse functions.

Case must match exactly, however type style and character formatting can be ignored. For example, if a lowercase italic variable g is used in the question, just type lowercase g.

Instead of using the available buttons, you may use the keyboard with the following operators to type in your response.

Available operators


+ for addition

x + 1

- for subtraction or the negative sign

x - 1, or -x

* or nothing for multiplication

4*x or 4x

/ for division


^ for exponential


( ) where necessary to group terms

4/(x + 1), or 3(x + 1)

abs() to take the absolute value of a variable or expression

abs(-5) = 5

sqrt() for square root of an expression


! for factorial of a number or expression

5! = 120 or (x - 1)!

Available operators


sin(), cos(), tan(), sec(), csc(), cot(), asin(), acos(), atan() functions (as well as hyperbolics)
(angle x expressed in radians)

sin(2x) or coth(x/3)

sin(x)^n instead of sin2(x) for trigonometic powers

sin(x)^2 or tan(4x)^4

x^(1/n) or rootn(x) for the nth root of a number

x^(1/3) or root5(x - 3)

pi for 3.14159....

2 pi x

e for scientific notation

1e3 = 1000

ln() for natural log


exp() for "e to the power of"

exp(x) = ex

log_b(x) for log with base b

log_2(x + 5)