Use Lagrange multiplier method to find both the maximum and minimum values of the function f(x,y)=2x^2+y^2+2, where x and y lie on the ellipse given by g(x,y)=x^2+4y^2-4=0.

Q: Explain two ways a graph could be misleading.

A: Misleading graph: Any graph that distracts the reader from fully understanding.

Q: write the equation of the quadraticfunction whose graph is a parabola containing the givenpoints

A: Let the equation of the quadratic function be: fx=y=ax2+bx+c This function passes through the points…

Q: Find the coordinates of the point on the parabola y = x² which is closest to the point (3, 0).

A:

Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

Q: Find the equation of the plane through (1, 0, 1), (−1, 2, 2) and (0, 0, 2).

A:

Q: Find the maximum value of the parabola using the following equation: f(x)=-x^2+4x+3

A: