Verify that if the given two vector functions have identical derivatives on interval I , the functions differ by a constant vector value throughout I .

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Answer 1

Question

Chapter 12.2, Problem 35E

a.

To determine

Verify that if the given two vector functions have identical derivatives on interval I, the functions differ by a constant vector value throughout I.

b.

To determine

Verify that if the vector R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t)+C for some constant vector C.

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Answer 2

Question

Chapter 12.2, Problem 35E

a.

To determine

Verify that if the given two vector functions have identical derivatives on interval I, the functions differ by a constant vector value throughout I.

b.

To determine

Verify that if the vector R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t)+C for some constant vector C.

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Answer 3

Question

Chapter 12.2, Problem 35E

a.

To determine

Verify that if the given two vector functions have identical derivatives on interval I, the functions differ by a constant vector value throughout I.

b.

To determine

Verify that if the vector R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t)+C for some constant vector C.

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Answer 4

Question

Chapter 12.2, Problem 35E

a.

To determine

Verify that if the given two vector functions have identical derivatives on interval I, the functions differ by a constant vector value throughout I.

b.

To determine

Verify that if the vector R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t)+C for some constant vector C.

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Answer 5

Chapter 12.2, Problem 35E

a.

To determine

Verify that if the given two vector functions have identical derivatives on interval I, the functions differ by a constant vector value throughout I.

b.

To determine

Verify that if the vector R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t)+C for some constant vector C.

Answer 6

Chapter 12.2, Problem 35E

a.

To determine

Verify that if the given two vector functions have identical derivatives on interval I, the functions differ by a constant vector value throughout I.

Answer 7

Chapter 12.2, Problem 35E

a.

To determine

Verify that if the given two vector functions have identical derivatives on interval I, the functions differ by a constant vector value throughout I.

Answer 8

b.

To determine

Verify that if the vector R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t)+C for some constant vector C.

Answer 9

b.

To determine

Verify that if the vector R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t)+C for some constant vector C.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 12.1 - Motion in the Plane In Exercises 58, r(t) is the...Ch. 12.1 - Motion in the Plane In Exercises 5–8, r(t) is the...Ch. 12.1 - In Exercises 58, r(t) is the position of a...Ch. 12.1 - In Exercises 5–8, r(t) is the position of a...Ch. 12.1 - Prob. 5E Ch. 12.1 - Prob. 6E Ch. 12.1 - Exercises 9–12 give the position vectors of...Ch. 12.1 - Prob. 8E Ch. 12.1 - In Exercises 13–18, r(t) is the position of a...Ch. 12.1 - Prob. 10E

Verify that if the given two vector functions have identical derivatives on interval I , the functions differ by a constant vector value throughout I .

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Verify that if the given two vector functions have identical derivatives on interval I, the functions differ by a constant vector value throughout I.

Verify that if the vector R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t)+C for some constant vector C.

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