2+322-21. a) Simplifyb) If argshow that the locus of z is part of the circle with centre (0,1)and radius 2. (Hint. Find the real and imaginary parts of

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Answered: 2+32 2-2 b) If arg 1. a) Simplify show…

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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, draw the circle given by the equation (x+4)² + (y –6)² = 16 THÍN BLACK 13- 12+ 11 10 8- 6 5- 4- 3- -17-16-15-14-13-i2-11-10 -9 8- -- -6 -4 -3 -2 -1
Entong is standing on a location with coordinates ( 5,3) on a circle, while Senyang is at ( 1,1) who is at the middle of Entong and Kulas. What must be the coordinates of the location of Kulas? A. (4,1) What is the center-radius form of the circle 4x²+4y²-20x+12y-2=0? A. (x-)² + (y + ?=9 B. (x+10)? + (y- ²=12 B. (-3,-1) C. (3,2) D. (-2,-1) C. (x-10)? + (y+6)?=138 D. (x +Y + (y - 5)=27
The standard equation of the circle with center (-1,-4) :and tangent to x-axis is اخترأحد الخيارات .A O x - 1)2 + (y - 4)2 = 16) .B O x + 1)2 + (y + 4)2 = 16) .c O x + 1)2 + (y + 4)² = 4) %3D .D O x + 1)2 + (y + 4)2 = 1)
10) What is the equation the following circle? -5 -4 -3 -2 1 2 3 4 5 6 8 -2 -5 A) (x+ 3)2 + (y – 1)2 = 16 B) (x- 3)2 + (y + 1)2 = 16 C) (x+ 3)2 + (y - 1)2 = 4 D) (x - 3)2 + (y + 1)² = 4
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Write the standard form equation (x-h)²+(y-k)²=r² for the circle with the given equation: x²+y²-8x-12y+42=0. Enter Answer Here 13 of 15 8 10 11 12 13 14 15 Socrative esc 80 888 F1 F2 DII F3 F4 F5 F6 F8 @ # $ % & 1 2 4 7 8 9 Q W Y U tab A S D F G caps lock H J K shift C V B N M N
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3) The circle x? +y² – 10x + 2y + 10 = 0 intersect with straight line y-x+2=0 at points A and B. a) Find the coordinates of A and B b) Find the center of the circle.
Chapter 10.8 Write the equation of the circle. Center at (-7, 11), radius 8 ○ (x +11)² + (y – 7)² (x + 7)² + (y − 11)² ○ (x − 11)² + (y + 7)² 8² = ○ (x − 7)² + (y +11)² = 8 121 64 M
9) Find the center-radius form of the equation of the circle. a) x² + y² + 2x + 4y - 4 = 0 2 2 b) x² + y² + 8y - 9 = 0
14. Write the equation in standard form of a circle. Then give the center and radius of the circle. 12 + y? + 6I + 8y + 25 = 16 (Hint: (z – h)² + (y – k)² = r²) 本本本*車** INA 本本 nouma lounourvio ol adi b () Page 6
Plot the point whose polar coordinates are 4, -5 -4 -3 -2 -1 4 3 2 1- -1 -2 -3 -4 -5+ Clear All Draw: Dot 1 2 3 4 77) 4 S

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2+32 2-2 b) If arg 1. a) Simplify show that the locus of z is part of the circle with centre (0,1) 4 z+1, and radius 2. (Hint: Find the real and imaginary parts of +1