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Compute the divergence of each of the following vectors: F = (x, y, :) A r assuming r #0 Note: I Y (x² + 3² +22)³/2¹ (x² + y² +:2) ³/2¹ (x² + y² + :2)³/2 V V-F3 • If the answer is a scalar, you can just type it in the box (using the Calcpad if you like, or using / for fractions, for exponents, shift and - for subscripts, etc.) For multiplication, you can either leave a space, or use". So I*I=Ix=r². V₁ = 0 and Note that this is not the same as xx without a space; that will get read as an entirely different variablel • If you need to enter a vector, enter an ordered list of components, so for A you can enter either (Az, Ay, A₂) or {Az, Ay, A₂}. r A = (A₂, Ay, A₂) is a constant vector. Note that the system isn't great with multiplying through by overall factors, so it's better not to write e.g. (2A, 2A, 2A₂). • In general, questions are not coded to accept vector input like or A. So if you need to refer to, e.g., A, do so using its components! I will try to note exceptions when they occur. 0 assuming #0 X

Compute the divergence of each of the following vectors: F = (x, y, :) A r assuming r #0 Note: I Y (x² + 3² +22)³/2¹ (x² + y² +:2) ³/2¹ (x² + y² + :2)³/2 V V-F3 • If the answer is a scalar, you can just type it in the box (using the Calcpad if you like, or using / for fractions, for exponents, shift and - for subscripts, etc.) For multiplication, you can either leave a space, or use". So I*I=Ix=r². V₁ = 0 and Note that this is not the same as xx without a space; that will get read as an entirely different variablel • If you need to enter a vector, enter an ordered list of components, so for A you can enter either (Az, Ay, A₂) or {Az, Ay, A₂}. r A = (A₂, Ay, A₂) is a constant vector. Note that the system isn't great with multiplying through by overall factors, so it's better not to write e.g. (2A, 2A, 2A₂). • In general, questions are not coded to accept vector input like or A. So if you need to refer to, e.g., A, do so using its components! I will try to note exceptions when they occur. 0 assuming #0 X

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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VC.10 Compute the divergence of each of the following vectors: F = (x, y, z) = A Tassuming " #0 and A = (A₂, Ay, A₂) is a constant vector. T Note: X Y 2 27372) (x² + y² + x²)³/²³ (x² + y² + x²)³/²¹ (x² + y² + :2)³/2 V • If the answer is a scalar, you can just type it in the box (using the Calcpad if you like, or using / for fractions, ^ for exponents, shift and for subscripts, etc.) For multiplication, you can either leave a space, or use *. So x*x=xx= x². Note that this is not the same as xx without a space; that will get read as an entirely different variable! • If you need to enter a vector, enter an ordered list of components, so for A you can enter either (Az, Ay, A₂) or {Az, Ay, A₂}. Ay₁ Az Vr 3 Note that the system isn't great with multiplying through by overall factors, so it's better not to write e.g. (2A, 2A, 2A₂). • In general, questions are not coded to accept vector input like & or A. So if you need to refer to, e.g., Ā, do so using its components! I will try to note exceptions when they occur. V = 0 T assuming #0 r 0 X
Transcribed Image Text:VC.10 Compute the divergence of each of the following vectors: F = (x, y, z) = A Tassuming " #0 and A = (A₂, Ay, A₂) is a constant vector. T Note: X Y 2 27372) (x² + y² + x²)³/²³ (x² + y² + x²)³/²¹ (x² + y² + :2)³/2 V • If the answer is a scalar, you can just type it in the box (using the Calcpad if you like, or using / for fractions, ^ for exponents, shift and for subscripts, etc.) For multiplication, you can either leave a space, or use *. So x*x=xx= x². Note that this is not the same as xx without a space; that will get read as an entirely different variable! • If you need to enter a vector, enter an ordered list of components, so for A you can enter either (Az, Ay, A₂) or {Az, Ay, A₂}. Ay₁ Az Vr 3 Note that the system isn't great with multiplying through by overall factors, so it's better not to write e.g. (2A, 2A, 2A₂). • In general, questions are not coded to accept vector input like & or A. So if you need to refer to, e.g., Ā, do so using its components! I will try to note exceptions when they occur. V = 0 T assuming #0 r 0 X
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