WeBWork Practice and Application 2

Question 1

In WeBWork, when entering an answer with a radical, which syntax correctly represents √(x+1)?

Accepted Answer

sqrt(x+1)

Answer

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?

Accepted Answer

No, because 3.14 differs from π by more than 0.01%

Answer

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)?

Accepted Answer

abs(x-3)

Answer

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?

Accepted Answer

The student missed the second solution 5π/6

Answer

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?

Accepted Answer

3*e^(3*x)

Answer

By the chain rule, d/dx[e^(3x)] = 3e^(3x), entered as 3*e^(3*x) in WeBWork.

WeBWork Practice Test