Calculus I · 2A · answer key

Unit 2A Practice Exam A Answer Key

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

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

Notice

A dependable solution separates interpretation, rule selection, calculation, and verification.

Decide

Classify first, calculate second, and use answer reveals to diagnose the first incorrect decision.

Avoid

Reading the solution before making a complete attempt or treating every miss as mere algebra.

Unit 2A 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

$5$ .

Answer 2

Problem 2

Tangent $y-\frac12=-\frac14(x-2)$ ; normal $y-\frac12=4(x-2)$ .

Answer 3

Problem 3

$\frac{28}{3}x^{4/3}+10x^{-3}$ .

Answer 4

Problem 4

$e^x[(x^2+1)^4+8x(x^2+1)^3]$ .

Answer 5

Problem 5

$2\sin x\cos x/(1+\sin^2x)$ .

Answer 6

Problem 6

$\{10x\tan^4(1+x^2)\sec^2(1+x^2)(x^3+1)-3x^2\tan^5(1+x^2)\}/(x^3+1)^2$ .

Answer 7

Problem 7

$y'=-(2x+y)/(x+4y)$ .

Answer 8

Problem 8

$y-\pi/6=(x-1)/\sqrt3$ .

Answer 9

Problem 9

$-1/3$ .

Answer 10

Problem 10

$(x^2+1)^{e^x}e^x[\ln(x^2+1)+2x/(x^2+1)]$ .

Answer 11

Problem 11

$4x^3-9x^2+2$ , $12x^2-18x$ , $24x-18$ , $24$ .

Answer 12

Problem 12

Differentiability supplies a linear approximation and therefore continuity; $|x|$ at zero is continuous but not differentiable.

Answer 13

Problem 13

$R'(d)=1200/(d+12)^2$ ; $R'(12)=25/12$ response units per dose unit.

Answer 14

Problem 14

Product rule; chain rule in the exponential; chain rule and power rule in $(x+1)^3$ .

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 2A 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

$5$ .

Answer 2

Problem 2

Tangent $y-\frac12=-\frac14(x-2)$ ; normal $y-\frac12=4(x-2)$ .

Answer 3

Problem 3

$\frac{28}{3}x^{4/3}+10x^{-3}$ .

Answer 4

Problem 4

$e^x[(x^2+1)^4+8x(x^2+1)^3]$ .

Answer 5

Problem 5

$2\sin x\cos x/(1+\sin^2x)$ .

Answer 6

Problem 6

$\{10x\tan^4(1+x^2)\sec^2(1+x^2)(x^3+1)-3x^2\tan^5(1+x^2)\}/(x^3+1)^2$ .

Answer 7

Problem 7

$y'=-(2x+y)/(x+4y)$ .

Answer 8

Problem 8

$y-\pi/6=(x-1)/\sqrt3$ .

Answer 9

Problem 9

$-1/3$ .

Answer 10

Problem 10

$(x^2+1)^{e^x}e^x[\ln(x^2+1)+2x/(x^2+1)]$ .

Answer 11

Problem 11

$4x^3-9x^2+2$ , $12x^2-18x$ , $24x-18$ , $24$ .

Answer 12

Problem 12

Differentiability supplies a linear approximation and therefore continuity; $|x|$ at zero is continuous but not differentiable.

Answer 13

Problem 13

$R'(d)=1200/(d+12)^2$ ; $R'(12)=25/12$ response units per dose unit.

Answer 14

Problem 14

Product rule; chain rule in the exponential; chain rule and power rule in $(x+1)^3$ .

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 2A Practice Exam A Answer Key

Related resources

Original instruction with traceable references.

Unit 2A Practice Exam A Answer Key

Related resources

Original instruction with traceable references.