Math Problem Statement

Convert the expression (e^(4x) + 4) / 4 into its technology formula equivalent.

Solution

It looks like you're working on converting an expression for WebAssign. The expression you are trying to convert is:

e4x+44\frac{e^{4x} + 4}{4}

It seems you've entered the expression as (e4x+4)/4(e^{4x} + 4)/4, but it was marked incorrect.

Let’s break it down:

  1. The expression you provided is correct in terms of mathematical notation. You correctly used parentheses to ensure that the numerator e4x+4e^{4x} + 4 is divided by 4. This ensures proper order of operations.

  2. However, since you're entering this into a "technology formula equivalent" (probably using a specific syntax WebAssign requires), it's possible that WebAssign needs a slightly different format. Here are a few possibilities to consider:

    • Try adding an extra pair of parentheses around the entire expression, i.e., (e4x+4)/4(e^{4x} + 4)/4.
    • Alternatively, you could try simplifying to see if it expects a more specific expression.

Please review the syntax rules or check the provided table mentioned in the assignment for specific formatting that WebAssign expects.

Would you like me to go over any specific formatting rules for entering exponential expressions? Here are some possible follow-up questions you may consider:

  1. What other types of expressions might require special syntax on WebAssign?
  2. Could simplifying the expression help in any way?
  3. What are the most common WebAssign syntax errors with fractions and exponents?
  4. Does WebAssign have specific requirements for exponentiation (e.g., "exp(4x)" instead of "e^4x")?
  5. Can you use WebAssign's "Show My Work" feature for partial credit if the format is incorrect?

Tip: Always check WebAssign's help documentation on syntax for entering complex expressions. Some systems might prefer the exp() function instead of the e^ format.

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponential Functions

Formulas

e^(4x) + 4
Division of algebraic expressions

Theorems

Properties of exponents
Order of operations

Suitable Grade Level

College level (Calculus or Algebra courses)