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TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

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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TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

3. given equ³ of the circle is (x-2) + (7-8) ² = 25 whose centre (2,8) and radius 5 with P ㅋ (x - 2)² + (7-8)^² = 25 Differentiate wisit a we dy वय dy वर) (3,512) 2x-11y = "17-55 = 2 → 27-118 → 42- x-2 7-8 = - The equin of the torget at (3, 512) (y- {) = - 12-227 = -13, ²₁ (x-3) 류 = 2n-6 SS 55 +6 43 22y = - 43 : (48) 3,512) дав 3-2 {/22-8. - (Ans) Q
Transcribed Image Text:3. given equ³ of the circle is (x-2) + (7-8) ² = 25 whose centre (2,8) and radius 5 with P ㅋ (x - 2)² + (7-8)^² = 25 Differentiate wisit a we dy वय dy वर) (3,512) 2x-11y = "17-55 = 2 → 27-118 → 42- x-2 7-8 = - The equin of the torget at (3, 512) (y- {) = - 12-227 = -13, ²₁ (x-3) 류 = 2n-6 SS 55 +6 43 22y = - 43 : (48) 3,512) дав 3-2 {/22-8. - (Ans) Q
Expert Solution
Step 1

The given equation of the circle is 

     (x - 2)2 + (y - 8)2 = 25  . . . . . . (1) 

whose center is (2, 8) and radius is 5 unit. 

Differentiating (1) w.r.t x, we get, 

    2(x - 2) + 2(y - 8)dy/dx = 0

   => dy/dx = -(x - 2)/(y - 8) 

   => (dy/dx)(3, 5/2) = -(3 - 2)/(5/2 - 8) 

                                = 2/11

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