Calculus I · Unit 3B · answer key
Unit 3B Practice Exam A Answer Key
Review the worked solutions and modeling rubrics for Unit 3B Practice Exam A. Check methods, units, and interpretation.
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Review, practice, exams, and answer keysWhat this section is building
Review the worked solutions and modeling rubrics for Unit 3B Practice Exam A. Check methods, units, and interpretation.
A complete solution connects context, variable, bounds, slice contribution, integral, computation, units, interpretation, and a reasonableness check.
Classify the output and geometry first, solve from a blank start, then reveal one worked answer only to diagnose the earliest divergent decision.
Reading a key before forming a setup or treating every wrong result as algebra when the real error was a radius, width, density, or bound.
Unit 3B Practice Exam A Answer Key
Finish an honest attempt first. Then compare one numbered response at a time, locate the first line where your reasoning diverged, and retry without the key open.
Problem 1
Problem 2
Intersections are , and the line is to the right:
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Let measure height above the bottom. A slice has volume , weight , and lifting distance :
Problem 10
Problem 11
Problem 12
Problem 13
A correct response identifies, for example, in a pumping problem. A reasonableness check may use sign, units, comparison with a constant-force estimate, geometric bounds, or expected magnitude.
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