WeBWork Practice and Application 2 — Questions and Answers
Question 1: In WeBWork, when entering an answer with a radical, which syntax correctly represents √(x+1)?
- sqrt(x+1) (Correct answer)
- radical(x+1)
- root(x+1)
- √(x+1)
Correct answer: sqrt(x+1)
WeBWork uses sqrt() as the function for square roots in answer entry.
Question 2: A student submits an answer of 3.14 to a problem where the exact answer is π. If the tolerance is set to 0.01%, will WeBWork accept this answer?
- No, because 3.14 differs from π by more than 0.01% (Correct answer)
- Yes, because 3.14 is close enough to π
- Yes, if the problem allows decimal approximations
- No, because WeBWork always requires exact answers
Correct answer: No, because 3.14 differs from π by more than 0.01%
π ≈ 3.14159, so 3.14 differs by about 0.05%, which exceeds a 0.01% tolerance threshold.
Question 3: Which WeBWork input correctly represents the absolute value of (x - 3)?
- abs(x-3) (Correct answer)
- |x-3|
- Abs[x-3]
- absolute(x-3)
Correct answer: abs(x-3)
WeBWork uses the abs() function to represent absolute values in answer entry.
Question 4: When solving a WeBWork problem that asks for all solutions to sin(x) = 0.5 on [0, 2π], a student enters only π/6. What is the issue?
- The student missed the second solution 5π/6 (Correct answer)
- π/6 is incorrect; the answer should be 30°
- WeBWork requires decimal answers, not fractions
- The interval [0, 2π] has no solutions to sin(x) = 0.5
Correct answer: The student missed the second solution 5π/6
sin(x) = 0.5 has two solutions on [0, 2π]: π/6 and 5π/6.
Question 5: A WeBWork problem asks for the derivative of f(x) = e^(3x). Which answer entry is correct?
- 3*e^(3*x) (Correct answer)
- e^(3x)
- 3*e^x
- e^(3)*x
Correct answer: 3*e^(3*x)
By the chain rule, d/dx[e^(3x)] = 3e^(3x), entered as 3*e^(3*x) in WeBWork.
Question 6: In WeBWork, how should the answer 2/3 be entered to ensure it is recognized as a fraction rather than a decimal?
- 2/3 (Correct answer)
- 0.667
- 0.6667
- Both 2/3 and 0.667 are equivalent and accepted
Correct answer: 2/3
Entering 2/3 directly is exact; decimal approximations may fail depending on problem tolerance settings.
Question 7: A WeBWork problem requires the answer in interval notation for x > 2. Which entry is correct?
- (2, inf) (Correct answer)
- [2, inf)
- (2, infinity)
- (2, ∞)
Correct answer: (2, inf)
WeBWork uses 'inf' (not 'infinity' or the symbol ∞) and open parenthesis for strict inequalities.
WeBWork Practice and Application 2
In WeBWork, when entering an answer with a radical, which syntax correctly represents √(x+1)?