WeBWork Practice and Application 4

Question 1

A WeBWork problem asks: 'Find the limit as x → 0 of sin(x)/x.' What is the correct answer?

Accepted Answer

1

Answer

This is a standard limit: lim(x→0) sin(x)/x = 1, a fundamental result in calculus.

Question 2

When a WeBWork problem specifies an open interval (a, b) as the domain, what does this tell you about the endpoints?

Accepted Answer

The endpoints a and b are excluded from the domain

Answer

Parentheses in interval notation denote open endpoints that are excluded from the set.

Question 3

A WeBWork problem uses randomized parameters. Two students see the same problem but student A gets m=2 and student B gets m=5. Why does WeBWork do this?

Accepted Answer

To prevent answer sharing and encourage individual problem-solving

Answer

WeBWork randomizes parameters per student to make copying answers ineffective and promote authentic learning.

Question 4

In WeBWork, how is the natural logarithm (ln) entered?

Accepted Answer

ln(x)

Answer

WeBWork recognizes ln() as the natural logarithm function directly.

Question 5

A WeBWork problem asks for the domain of f(x) = √(4 - x²). What is the correct domain?

Accepted Answer

[-2, 2]

Answer

4 - x² ≥ 0 requires -2 ≤ x ≤ 2, giving the closed interval [-2, 2].

WeBWork Practice Test

WeBWork Practice Test

WeBWork Practice and Application 4