Determine whether the equation is exact. If it is, then solve it. 4 (4x³y + 3) dx + (x-9) dy = 0 For the given equation, write out the condition for exactness. √ (4x³y + 3) = (x²-9) ду dx ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type expressions using x and y as the variables.) A. The equation is exact because the form F(x,y) = C is ƏM - (x,y) = ƏN ay = C, where C is an arbitrary constant. OB. The equation is not exact because (x,y)=. An implicit solution in ӘМ dy (x,y)= ƏN *(x,y) =

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.4: Graphs Of Quadratic Equations: The Discriminant
Problem 17WE
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Determine whether the equation is exact. If it is, then solve it.
(4x³y + 3) dx + (x¹ - 9) dy = 0
For the given equation, write out the condition for exactness.
d
- (4x³ y + 3) = (x ² =9)
dy
əx
Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
(Type expressions using x and y as the variables.)
ƏM
The equation is exact because
ay
the form F(x,y) = C is = C, where C is an arbitrary constant.
A.
ƏN
x(x,y) = [
-(x,y) = ax
OB. The equation is not exact because
ӘМ
ay (x,y)=
ƏN
dx
An implicit solution in
(x,y)=
Transcribed Image Text:Determine whether the equation is exact. If it is, then solve it. (4x³y + 3) dx + (x¹ - 9) dy = 0 For the given equation, write out the condition for exactness. d - (4x³ y + 3) = (x ² =9) dy əx Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type expressions using x and y as the variables.) ƏM The equation is exact because ay the form F(x,y) = C is = C, where C is an arbitrary constant. A. ƏN x(x,y) = [ -(x,y) = ax OB. The equation is not exact because ӘМ ay (x,y)= ƏN dx An implicit solution in (x,y)=
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