Please answer and write correctly and neatly. Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz az: d. The y-coordinate of Q (-3,y,5) if |AQ|=100 and y>0 e. The distance between P and Q.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Please answer and write correctly and neatly.

Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz az:

d. The y-coordinate of Q (-3,y,5) if |AQ|=100 and y>0
e. The distance between P and Q.

c) Given
à = 2x²y ax
A
|A| = 100
= 1A1²
2
=
-
2
=> ) A| = (2x²y)² + ( 2 (z-x))² + (3xyz) ²
4x² y² + 4 (z-7)²2² + 9x2² y² z²
2 (Z-x) ay + 3xyząz
→ The
equation of surface is
2
4x4 y² + 4(2-x)² +9x²y²z² = 10000
2
Transcribed Image Text:c) Given à = 2x²y ax A |A| = 100 = 1A1² 2 = - 2 => ) A| = (2x²y)² + ( 2 (z-x))² + (3xyz) ² 4x² y² + 4 (z-7)²2² + 9x2² y² z² 2 (Z-x) ay + 3xyząz → The equation of surface is 2 4x4 y² + 4(2-x)² +9x²y²z² = 10000 2
Step 2
Given
A =
= 2x^2y ax - 2 (Z-x) ay +zxyz az
Now Aat P(2₁-3, 4), x=2, y=-3, Z=4
Ap = 2(2)2-(-3) a₂-2 (4-2)ay +3 (2)X(-3)(4) az
介
Ap=
=
Step 3
6) The unit vector in the direction
A at pis
A
=
-24ax - 4ay-729z
^
A =
AP
(A)
=> A = -24ax-4ay-72az
-24ax-4ay-72az
√5776
19
an
-
√√(-2y)²+(-4)²+(-72)²
-ay-
19
1892
19
Transcribed Image Text:Step 2 Given A = = 2x^2y ax - 2 (Z-x) ay +zxyz az Now Aat P(2₁-3, 4), x=2, y=-3, Z=4 Ap = 2(2)2-(-3) a₂-2 (4-2)ay +3 (2)X(-3)(4) az 介 Ap= = Step 3 6) The unit vector in the direction A at pis A = -24ax - 4ay-729z ^ A = AP (A) => A = -24ax-4ay-72az -24ax-4ay-72az √5776 19 an - √√(-2y)²+(-4)²+(-72)² -ay- 19 1892 19
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,