Free response·Standard multi-step (3/5)·No calculatorNeeds mentor review
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
The temperature of a metal rod is degrees Celsius minutes after heating begins. Suppose and
Total: 6 points
(a) Interpret in context, including units. (2 points)
(b) Use a tangent-line approximation to estimate . (2 points)
(c) Use the sign of to explain whether the estimate in part (b) is likely an overestimate or underestimate, assuming the concavity does not change near . (2 points)
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