8 Solve for the value of C in the equation:O A. 1OB. 2(2xy4e³ + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when y(1) = 1O C.3O D.-1O E. None of the Choices

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Answered: Solve for the value of C in the…

Solve for the value of C in the equation: O A. 1 (2xy4ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when y(1) = 1 O B.2 O C.3 O D.-1 O E. None of the Choices

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.10: Modeling Variation

Problem 4E

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Question

Solve for the value of C in the equation:
O A. 1
OB. 2
(2xy4e³ + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when y(1) = 1
O C.3
O D.-1
O E. None of the Choices

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By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form x2+y2+Dx+Ey+F=0, we see that D=2h,E=2k, and F=h2+k2r2. Therefore, the center and the length of a radius of a circle can be found by using h=D2,k=E2 and r=h2+k2F. Use these relationship to find the center and the length of the radius of each of the following circles. x2+y2+4x14y+49=0

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