(a) The vector assigned to the given point by the given vector field.

Question

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Answer 1

Question

Chapter 17, Problem 1CRE

To determine

(a)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 x y, y - x 〉$

Calculation:

Here, $\vec{F} = 〈 x y, y - x 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

To determine

(b)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by $\vec{F} = 〈 4, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 4, 8 〉$

Calculation:

Here, $\vec{F} = 〈 4, 8 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 4, 8 〉$

To determine

(c)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 9, 1 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Calculation:

Here, $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Vector assigned to the point P(–3, 5) is given by

$\begin{array}{l} \vec{F} = 〈 3^{- 3 + 5}, \log_{2} (- 3 + 5) 〉 \\ = 〈 3^{2}, \log_{2} (2) 〉 \\ ∴ \vec{F} = 〈 9, 1 〉 [∵ \log_{2} (2) = 1] \end{array}$

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Answer 2

Question

Chapter 17, Problem 1CRE

To determine

(a)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 x y, y - x 〉$

Calculation:

Here, $\vec{F} = 〈 x y, y - x 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

To determine

(b)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by $\vec{F} = 〈 4, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 4, 8 〉$

Calculation:

Here, $\vec{F} = 〈 4, 8 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 4, 8 〉$

To determine

(c)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 9, 1 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Calculation:

Here, $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Vector assigned to the point P(–3, 5) is given by

$\begin{array}{l} \vec{F} = 〈 3^{- 3 + 5}, \log_{2} (- 3 + 5) 〉 \\ = 〈 3^{2}, \log_{2} (2) 〉 \\ ∴ \vec{F} = 〈 9, 1 〉 [∵ \log_{2} (2) = 1] \end{array}$

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Answer 3

Question

Chapter 17, Problem 1CRE

To determine

(a)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 x y, y - x 〉$

Calculation:

Here, $\vec{F} = 〈 x y, y - x 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

To determine

(b)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by $\vec{F} = 〈 4, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 4, 8 〉$

Calculation:

Here, $\vec{F} = 〈 4, 8 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 4, 8 〉$

To determine

(c)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 9, 1 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Calculation:

Here, $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Vector assigned to the point P(–3, 5) is given by

$\begin{array}{l} \vec{F} = 〈 3^{- 3 + 5}, \log_{2} (- 3 + 5) 〉 \\ = 〈 3^{2}, \log_{2} (2) 〉 \\ ∴ \vec{F} = 〈 9, 1 〉 [∵ \log_{2} (2) = 1] \end{array}$

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Answer 4

Question

Chapter 17, Problem 1CRE

To determine

(a)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 x y, y - x 〉$

Calculation:

Here, $\vec{F} = 〈 x y, y - x 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

To determine

(b)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by $\vec{F} = 〈 4, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 4, 8 〉$

Calculation:

Here, $\vec{F} = 〈 4, 8 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 4, 8 〉$

To determine

(c)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 9, 1 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Calculation:

Here, $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Vector assigned to the point P(–3, 5) is given by

$\begin{array}{l} \vec{F} = 〈 3^{- 3 + 5}, \log_{2} (- 3 + 5) 〉 \\ = 〈 3^{2}, \log_{2} (2) 〉 \\ ∴ \vec{F} = 〈 9, 1 〉 [∵ \log_{2} (2) = 1] \end{array}$

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Answer 5

Chapter 17, Problem 1CRE

To determine

(a)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 x y, y - x 〉$

Calculation:

Here, $\vec{F} = 〈 x y, y - x 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

To determine

(b)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by $\vec{F} = 〈 4, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 4, 8 〉$

Calculation:

Here, $\vec{F} = 〈 4, 8 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 4, 8 〉$

To determine

(c)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 9, 1 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Calculation:

Here, $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Vector assigned to the point P(–3, 5) is given by

$\begin{array}{l} \vec{F} = 〈 3^{- 3 + 5}, \log_{2} (- 3 + 5) 〉 \\ = 〈 3^{2}, \log_{2} (2) 〉 \\ ∴ \vec{F} = 〈 9, 1 〉 [∵ \log_{2} (2) = 1] \end{array}$

Answer 6

Chapter 17, Problem 1CRE

To determine

(a)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 x y, y - x 〉$

Calculation:

Here, $\vec{F} = 〈 x y, y - x 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Answer 7

Chapter 17, Problem 1CRE

To determine

(a)

The vector assigned to the given point by the given vector field.

Answer 8

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 x y, y - x 〉$

Calculation:

Here, $\vec{F} = 〈 x y, y - x 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 - 3 (5), 5 - (- 3) 〉 = 〈 - 15, 8 〉$

Answer 13

To determine

(b)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by $\vec{F} = 〈 4, 8 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 4, 8 〉$

Calculation:

Here, $\vec{F} = 〈 4, 8 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 4, 8 〉$

Answer 14

To determine

(b)

The vector assigned to the given point by the given vector field.

Answer 15

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by $\vec{F} = 〈 4, 8 〉$

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 4, 8 〉$

Calculation:

Here, $\vec{F} = 〈 4, 8 〉$

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 4, 8 〉$

Answer 20

To determine

(c)

The vector assigned to the given point by the given vector field.

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 9, 1 〉$

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Calculation:

Here, $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Vector assigned to the point P(–3, 5) is given by

$\begin{array}{l} \vec{F} = 〈 3^{- 3 + 5}, \log_{2} (- 3 + 5) 〉 \\ = 〈 3^{2}, \log_{2} (2) 〉 \\ ∴ \vec{F} = 〈 9, 1 〉 [∵ \log_{2} (2) = 1] \end{array}$

Answer 21

To determine

(c)

The vector assigned to the given point by the given vector field.

Answer 22

Expert Solution

Answer to Problem 1CRE

Solution:

Vector assigned to the point P(–3, 5) is given by

$\vec{F} = 〈 9, 1 〉$

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Given:

The given vector field is $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Calculation:

Here, $\vec{F} = 〈 3^{x + y}, \log_{2} (x + y) 〉$

Vector assigned to the point P(–3, 5) is given by

$\begin{array}{l} \vec{F} = 〈 3^{- 3 + 5}, \log_{2} (- 3 + 5) 〉 \\ = 〈 3^{2}, \log_{2} (2) 〉 \\ ∴ \vec{F} = 〈 9, 1 〉 [∵ \log_{2} (2) = 1] \end{array}$

Answer 27

Ch. 17.1 - Prob. 1PQ Ch. 17.1 - Prob. 2PQ Ch. 17.1 - Prob. 3PQ Ch. 17.1 - Prob. 4PQ Ch. 17.1 - Prob. 1E Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - Prob. 5E Ch. 17.1 - Prob. 6E

(a) The vector assigned to the given point by the given vector field.

Concept explainers

Videos

(a)

The vector assigned to the given point by the given vector field.

Answer to Problem 1CRE

Explanation of Solution

(b)

The vector assigned to the given point by the given vector field.

Answer to Problem 1CRE

Explanation of Solution

(c)

The vector assigned to the given point by the given vector field.

Answer to Problem 1CRE

Explanation of Solution

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Chapter 17 Solutions

(a) The vector assigned to the given point by the given vector field.

Concept explainers

Videos

(a) The vector assigned to the given point by the given vector field.

Answer to Problem 1CRE

Explanation of Solution

(b) The vector assigned to the given point by the given vector field.

Answer to Problem 1CRE

Explanation of Solution

(c) The vector assigned to the given point by the given vector field.

Answer to Problem 1CRE

Explanation of Solution

Want to see more full solutions like this?

Chapter 17 Solutions

(a)

The vector assigned to the given point by the given vector field.

(b)

The vector assigned to the given point by the given vector field.

(c)

The vector assigned to the given point by the given vector field.