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Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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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Q6. If F(x,y,z) = (x – 3)² + (y – 3)², what is 2(у - 3) 2(х - 3) 2y 2 4 ay? Q7. V(x, y) = x³ + y³ and x = 2t + r, y = 2t – r , what is ? av 3x? + 3y? 3x² – 6y² 6x² + 6y² 6x² – 6y² 3x² – 3y² ar Q8. If Ā = i+j, B = i+;j, what is the angle between Ā and B ? 00 180° 300 45 90° Q9. V = 2yī – xJ, what is the magnitude and direction of the vector field made with the 5, 26.6° V5, 63.4° V5,-26.6° V5, 26.6° 5, -26.6° positive x-axis at the point (–1, 1)? Q10. If a vector field V is Solenoidal we know that the V·V > 0 v•V < 0 V.V + 0 v. = 0 v.V = 0 vector field V satisfies..? Q11. If øis any scalar then V × Vø = 0 is TRUE or SOMETIMES TRUE SOMETIMES CANNOT FALSE TRUE FALSE? FALSE DETERMINE Q12. What is the inverse of the matrix ( )? 3 -2 -3) -3) 2 -3) -1 -2/ Q13. Curl measures a vector field's tendency to do Το Μοve horizontally To Originate from the Το Μοve vertically To Converge to the point To Rotate what about a point? point Q14. If F(x, y, z) = 2x? + xyz – y²z %3D What is 3F. ax2 xz - 2yz -2 4 -2z 4x + yz
Transcribed Image Text:Q6. If F(x,y,z) = (x – 3)² + (y – 3)², what is 2(у - 3) 2(х - 3) 2y 2 4 ay? Q7. V(x, y) = x³ + y³ and x = 2t + r, y = 2t – r , what is ? av 3x? + 3y? 3x² – 6y² 6x² + 6y² 6x² – 6y² 3x² – 3y² ar Q8. If Ā = i+j, B = i+;j, what is the angle between Ā and B ? 00 180° 300 45 90° Q9. V = 2yī – xJ, what is the magnitude and direction of the vector field made with the 5, 26.6° V5, 63.4° V5,-26.6° V5, 26.6° 5, -26.6° positive x-axis at the point (–1, 1)? Q10. If a vector field V is Solenoidal we know that the V·V > 0 v•V < 0 V.V + 0 v. = 0 v.V = 0 vector field V satisfies..? Q11. If øis any scalar then V × Vø = 0 is TRUE or SOMETIMES TRUE SOMETIMES CANNOT FALSE TRUE FALSE? FALSE DETERMINE Q12. What is the inverse of the matrix ( )? 3 -2 -3) -3) 2 -3) -1 -2/ Q13. Curl measures a vector field's tendency to do Το Μοve horizontally To Originate from the Το Μοve vertically To Converge to the point To Rotate what about a point? point Q14. If F(x, y, z) = 2x? + xyz – y²z %3D What is 3F. ax2 xz - 2yz -2 4 -2z 4x + yz
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