To Estimate: The value of ∬ S F . d S where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

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Answer 1

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Chapter 17.5, Problem 7PQ

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To Estimate:

The value of $\iint_{S} F . d S$ where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

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A small surface S is divided into three pieces of area 0.2. Estimate j L F · dS if F is a unit vector field making angles of 85°, 90°, and 95° with the normal at sample points in these three pieces.

Incorrect. Use a computer or calculator with Euler's method to approximate the flow line through (1, 2) for the vector field v = y² i +1.1x² j using 5 steps with At = 0.1. Find the exact values of x1, ... , x5 and y1, ... , y5 and then fill in the blanks rounding your numbers to three decimal places. X1 = !Yı = i X2 i 1.2 , y2 3.273 X3 = i 1.3 Y3 = i 4.50283 X4 i 1.4 6.7162 X5 = i 1.5 Y5 = i 11.4427 eTextbook and Media Assistance Used Hint Assistance Used The vector field is given by v = y i + 1.1x² j , that is, the flow line (x (t), y (t)) satisfies x' (t) = y² y' (t) = 1.1x².

Answer 2

Question

Chapter 17.5, Problem 7PQ

To determine

To Estimate:

The value of $\iint_{S} F . d S$ where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

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Answer 3

Question

Chapter 17.5, Problem 7PQ

To determine

To Estimate:

The value of $\iint_{S} F . d S$ where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

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Answer 4

Question

Chapter 17.5, Problem 7PQ

To determine

To Estimate:

The value of $\iint_{S} F . d S$ where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

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Answer 5

Chapter 17.5, Problem 7PQ

To determine

To Estimate:

The value of $\iint_{S} F . d S$ where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

Answer 6

Chapter 17.5, Problem 7PQ

To determine

To Estimate:

The value of $\iint_{S} F . d S$ where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

Answer 7

Chapter 17.5, Problem 7PQ

To determine

To Estimate:

The value of $\iint_{S} F . d S$ where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

Answer 8

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Answer 9

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Answer 10

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Answer 11

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

To Estimate: The value of ∬ S F . d S where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

Solution Summary: The author explains that the value of S F is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

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To Estimate:

The value of $\iint_{S} F . d S$ where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

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Chapter 17 Solutions

To Estimate: The value of ∬ S F . d S where S is a small oriented surface divided into three pieces of area 0.2 sq.unit and the value of F at a sample point in S is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

Solution Summary: The author explains that the value of S F is a vector of unit length making an angle 85°, 90° and 95° respectively with the normal to the surface.

Concept explainers

Videos