(a) Which three of the following vector –value function parameterize the same space curve? ( a ) ( − 2 + Cos t ) i ∧ + 9 j ∧ + ( 3 − Sin t ) k ∧ ( b ) ( 2 + Cos t ) i ∧ − 9 j ∧ + ( − 3 − Sin t ) k ∧ ( c ) ( − 2 + Cos 3 t ) i ∧ + 9 j ∧ + ( 3 − Sin 3 t ) k ∧ ( d ) ( 2 + Cos t ) i ∧ + 9 j ∧ + ( 3 + Sin t ) k ∧

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Answer 1

Question

Chapter 14.1, Problem 6PQ

To determine

(a)

Which three of the following vector –value function parameterize the same space curve?

$\begin{array}{l} (a) (- 2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k} \\ (b) (2 + Cos t) \overset{\land}{i} - 9 \overset{\land}{j} + (- 3 - Sin t) \overset{\land}{k} \\ (c) (- 2 + Cos 3 t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin 3 t) \overset{\land}{k} \\ (d) (2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 + Sin t) \overset{\land}{k} \end{array}$

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Answer 2

Question

Chapter 14.1, Problem 6PQ

To determine

(a)

Which three of the following vector –value function parameterize the same space curve?

$\begin{array}{l} (a) (- 2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k} \\ (b) (2 + Cos t) \overset{\land}{i} - 9 \overset{\land}{j} + (- 3 - Sin t) \overset{\land}{k} \\ (c) (- 2 + Cos 3 t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin 3 t) \overset{\land}{k} \\ (d) (2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 + Sin t) \overset{\land}{k} \end{array}$

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Answer 3

Question

Chapter 14.1, Problem 6PQ

To determine

(a)

Which three of the following vector –value function parameterize the same space curve?

$\begin{array}{l} (a) (- 2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k} \\ (b) (2 + Cos t) \overset{\land}{i} - 9 \overset{\land}{j} + (- 3 - Sin t) \overset{\land}{k} \\ (c) (- 2 + Cos 3 t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin 3 t) \overset{\land}{k} \\ (d) (2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 + Sin t) \overset{\land}{k} \end{array}$

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Answer 4

Question

Chapter 14.1, Problem 6PQ

To determine

(a)

Which three of the following vector –value function parameterize the same space curve?

$\begin{array}{l} (a) (- 2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k} \\ (b) (2 + Cos t) \overset{\land}{i} - 9 \overset{\land}{j} + (- 3 - Sin t) \overset{\land}{k} \\ (c) (- 2 + Cos 3 t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin 3 t) \overset{\land}{k} \\ (d) (2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 + Sin t) \overset{\land}{k} \end{array}$

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Answer 5

Chapter 14.1, Problem 6PQ

To determine

(a)

Which three of the following vector –value function parameterize the same space curve?

$\begin{array}{l} (a) (- 2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k} \\ (b) (2 + Cos t) \overset{\land}{i} - 9 \overset{\land}{j} + (- 3 - Sin t) \overset{\land}{k} \\ (c) (- 2 + Cos 3 t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin 3 t) \overset{\land}{k} \\ (d) (2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 + Sin t) \overset{\land}{k} \end{array}$

Answer 6

Chapter 14.1, Problem 6PQ

To determine

(a)

Which three of the following vector –value function parameterize the same space curve?

$\begin{array}{l} (a) (- 2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k} \\ (b) (2 + Cos t) \overset{\land}{i} - 9 \overset{\land}{j} + (- 3 - Sin t) \overset{\land}{k} \\ (c) (- 2 + Cos 3 t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin 3 t) \overset{\land}{k} \\ (d) (2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 + Sin t) \overset{\land}{k} \end{array}$

Answer 7

Chapter 14.1, Problem 6PQ

To determine

(a)

Which three of the following vector –value function parameterize the same space curve?

$\begin{array}{l} (a) (- 2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k} \\ (b) (2 + Cos t) \overset{\land}{i} - 9 \overset{\land}{j} + (- 3 - Sin t) \overset{\land}{k} \\ (c) (- 2 + Cos 3 t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 - Sin 3 t) \overset{\land}{k} \\ (d) (2 + Cos t) \overset{\land}{i} + 9 \overset{\land}{j} + (3 + Sin t) \overset{\land}{k} \end{array}$

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

Solution Summary: The author determines which three of the following vector –value functions parameterize the same space curve.

Concept explainers

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Chapter 14 Solutions

Solution Summary: The author determines which three of the following vector –value functions parameterize the same space curve.

Concept explainers

(a) Which three of the following vector –value function parameterize the same space curve? (a)(−2+Cost)i∧+9j∧+(3−Sint)k∧(b)(2+Cost)i∧−9j∧+(−3−Sint)k∧(c)(−2+Cos3t)i∧+9j∧+(3−Sin3t)k∧(d)(2+Cost)i∧+9j∧+(3+Sint)k∧

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Chapter 14 Solutions