Asked by Jane
Consider curve given by
x^2+ 4y^2= 7 + 3xy..
Three part question
A) show that dy/dx = 3y-2x/8y-3x
B) Show that there is a point P with
x-coordinate 3 at whiich the line tangent to the curve at P is horizontal. Find the y-coordinate of P.
C) find the value of d^2y/ dx^2 at the point p found in part (B)
x^2+ 4y^2= 7 + 3xy..
Three part question
A) show that dy/dx = 3y-2x/8y-3x
B) Show that there is a point P with
x-coordinate 3 at whiich the line tangent to the curve at P is horizontal. Find the y-coordinate of P.
C) find the value of d^2y/ dx^2 at the point p found in part (B)
Answers
Answered by
bobpursley
2x dx+8ydy=3ydx + 3xdy
solve for dy/dx
Then, take the next derivative.
for B), put x=3 into the original equation, find y. Then find the slope (dy/dx) at that point.
solve for dy/dx
Then, take the next derivative.
for B), put x=3 into the original equation, find y. Then find the slope (dy/dx) at that point.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.