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Calculus 2 : Vector

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9 Diagnostic Tests 308 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #962 : Calculus Ii

The graph of the vector function $r(t)=\left \langle 5+2t,\sin^{2}(t)\right \rangle$ can also be represented by the graph of which of the following functions in rectangular form?

Possible Answers:

$y=-\sin^{2}(\frac{x-5}{2})$

$y=\sin^{2}(\frac{x+5}{2})$

$y=-\sin^{2}(\frac{x+5}{2})$

$y=\sin^{2}(\frac{x-5}{2})$

$y=\sin^{2}(\frac{2}{x-5})$

Correct answer:

$y=\sin^{2}(\frac{x-5}{2})$

Explanation:

We can find the graph of $r(t)=\left \langle 5+2t,\sin^{2}(t)\right \rangle$ in rectangular form by mapping the parametric coordinates to Cartesian coordinates (x,y) :

x=5+2t

2t=x-5

$t=\frac{x-5}{2}$

We can now use this value to solve for :

$y=\sin^{2}(t)$

$y=\sin^{2}(\frac{x-5}{2})$

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Example Question #111 : Vector

In which quadrant does the vector <8,13> terminate from the origin?

Possible Answers:

III

Correct answer:

Explanation:

The vector

<8,13>

goes units right from the origin and units up, terminating in Quadrant I.

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Example Question #112 : Vector

In which quadrant does the vector <7,-10> terminate from the origin?

Possible Answers:

III

Correct answer:

Explanation:

The vector

<7,-10>

goes units right from the origin and units down, terminating in Quadrant IV.

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Example Question #113 : Vector

In which quadrant does the vector <-8,13> terminate from the origin?

Possible Answers:

III

Correct answer:

Explanation:

The vector

<-8,13>

goes units left from the origin and units up, terminating in Quadrant II.

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Example Question #114 : Vector

In which quadrant does the vector <-1,-1> terminate from the origin?

Possible Answers:

III

Correct answer:

III

Explanation:

The vector

<-1,-1>

goes unit left from the origin and units down, terminating in Quadrant III.

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Example Question #462 : Parametric, Polar, And Vector

In which quadrant does the vector <8,13> terminate from the origin?

Possible Answers:

Quadrant IV

Quadrant II

Quadrant I

Quadrant III

Correct answer:

Quadrant I

Explanation:

From the origin, the vector <8,13> goes to the right units and up units, terminating in

Quadrant I.

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Example Question #463 : Parametric, Polar, And Vector

In which quadrant does the vector <-5,-2> terminate from the origin?

Possible Answers:

Quadrant II

Quadrant IV

Quadrant III

Quadrant I

Correct answer:

Quadrant III

Explanation:

From the origin, the vector <-5,-2> goes to the left units and down units, terminating in

Quadrant III.

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Example Question #464 : Parametric, Polar, And Vector

In which quadrant does the vector <57,-12> terminate from the origin?

Possible Answers:

Quadrant I

Quadrant IV

Quadrant III

Quadrant II

Correct answer:

Quadrant IV

Explanation:

From the origin, the vector <57,-12> goes to the right units and down units, terminating in

Quadrant IV.

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Example Question #21 : Graphing Vectors

In which quadrant does the vector <20,8> terminate from the origin?

Possible Answers:

III

Correct answer:

Explanation:

The vector <20,8> goes to the right units from the origin and then up units, with terminal point in

$Quadrant\,I$

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Example Question #22 : Graphing Vectors

In which quadrant does the vector <16,-26> terminate from the origin?

Possible Answers:

III

Correct answer:

Explanation:

The vector <16,-26> goes to the right units from the origin and then down units, with terminal point in

$Quadrant\,IV$

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Calculus 2 : Vector

Study concepts, example questions & explanations for Calculus 2

All Calculus 2 Resources

Example Questions

Example Question #962 : Calculus Ii

Example Question #111 : Vector

Example Question #112 : Vector

Example Question #113 : Vector

Example Question #114 : Vector

Example Question #462 : Parametric, Polar, And Vector

Example Question #463 : Parametric, Polar, And Vector

Example Question #464 : Parametric, Polar, And Vector

Example Question #21 : Graphing Vectors

Example Question #22 : Graphing Vectors

All Calculus 2 Resources

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