Calculus I · 2B · answer key

Unit 2B Practice Exam A Answer Key

Review complete source-verified answers and solution guidance for Unit 2B Practice Exam A.

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Review complete source-verified answers and solution guidance for Unit 2B Practice Exam A.

Notice

A key is most useful when it identifies the first decision that diverged, not merely the final expression.

Decide

Compare one numbered response at a time, annotate the correction, and retry without the key open.

Avoid

Copying a finished solution without locating the modeling, theorem, or algebra decision that needs practice.

Unit 2B Practice Exam A Answer Key

Finish an honest attempt first, then compare one numbered response at a time and identify the first decision that changed your work.

Answer 1

Problem 1

$v=3t^2-12t+5$ , $a=6t-12$ ; solve $v=0$ and compare signs of $v$ and $a$ .

Answer 2

Problem 2

$\sqrt{25.4}\approx5+0.4/10=5.04$ ; concavity of $\sqrt{x}$ makes the tangent estimate slightly high.

Answer 3

Problem 3

$|dV|\approx28.8\pi$ cm $^3$ ; relative error approximately $1.25\%$ .

Answer 4

Problem 4

Starting $x_0=1.5$ or $2$ gives a root approximately $1.3788$ after continued iteration.

Answer 5

Problem 5

When the bottom is $6$ , height is $8$ ; $dy/dt=-3/4$ ft/s.

Answer 6

Problem 6

$\theta'=0.024$ rad/min.

Answer 7

Problem 7

Average slope $-1/4$ ; solve $-1/c^2=-1/4$ , giving $c=2$ .

Answer 8

Problem 8

$f'=3x(x-2)$ , $f"=6x-6$ ; use sign charts.

Answer 9

Problem 9

Maximum occurs at $x=4/\sqrt3$ ; area $256/(3\sqrt3)$ .

Answer 10

Problem 10

$A'(q)=-1500/q^2+0.01$ ; minimum at $q=100\sqrt{15}$ . Also $A'(100)=-0.14$ .

Answer 11

Problem 11

$2$ .

Answer 12

Problem 12

$4$ .

Answer 13

Problem 13

Peak at $t=2.5$ , concentration $75/e$ , increasing for $0<t<2.5$ .

Answer 14

Problem 14

By the MVT, $|f(5)-f(1)|\le3(4)=12$ .

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Original instruction with traceable references.

BetterGrades-original composition declared by source handoff; owner provenance review required before public release

Reference textbooks remain rights-separated and are not published as application assets. Any direct adaptation requires separate identification and attribution.

Unit 2B Practice Exam A Answer Key

Finish an honest attempt first, then compare one numbered response at a time and identify the first decision that changed your work.

Answer 1

Problem 1

$v=3t^2-12t+5$ , $a=6t-12$ ; solve $v=0$ and compare signs of $v$ and $a$ .

Answer 2

Problem 2

$\sqrt{25.4}\approx5+0.4/10=5.04$ ; concavity of $\sqrt{x}$ makes the tangent estimate slightly high.

Answer 3

Problem 3

$|dV|\approx28.8\pi$ cm $^3$ ; relative error approximately $1.25\%$ .

Answer 4

Problem 4

Starting $x_0=1.5$ or $2$ gives a root approximately $1.3788$ after continued iteration.

Answer 5

Problem 5

When the bottom is $6$ , height is $8$ ; $dy/dt=-3/4$ ft/s.

Answer 6

Problem 6

$\theta'=0.024$ rad/min.

Answer 7

Problem 7

Average slope $-1/4$ ; solve $-1/c^2=-1/4$ , giving $c=2$ .

Answer 8

Problem 8

$f'=3x(x-2)$ , $f"=6x-6$ ; use sign charts.

Answer 9

Problem 9

Maximum occurs at $x=4/\sqrt3$ ; area $256/(3\sqrt3)$ .

Answer 10

Problem 10

$A'(q)=-1500/q^2+0.01$ ; minimum at $q=100\sqrt{15}$ . Also $A'(100)=-0.14$ .

Answer 11

Problem 11

$2$ .

Answer 12

Problem 12

$4$ .

Answer 13

Problem 13

Peak at $t=2.5$ , concentration $75/e$ , increasing for $0<t<2.5$ .

Answer 14

Problem 14

By the MVT, $|f(5)-f(1)|\le3(4)=12$ .

Source & rights

Original instruction with traceable references.

BetterGrades-original composition declared by source handoff; owner provenance review required before public release

Reference textbooks remain rights-separated and are not published as application assets. Any direct adaptation requires separate identification and attribution.

Unit 2B Practice Exam A Answer Key

Related resources

Original instruction with traceable references.

Unit 2B Practice Exam A Answer Key

Related resources

Original instruction with traceable references.