Question
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
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.
Related Questions
Consider the curve given by x^2+4y^2=7+3xy
a) Show that dy/dx=(3y-2x)/(8y-3x)
b) Show that the...
Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 .
a. Show that dy/dx= (4x-2xy)/(x^2+y^2+1...
For the curve given by 4x^2+y^2=48+2xy, show that there is a point P with x-coordinate 2 at which th...
Can someone show how this question is solved.
Consider the curve given by the equation
2y^3 +...