The function f(x, y) = -2x² + 4y² - 12 has a local maximum at the point (0,0). Select one: O True False

Q: Write f(x) = x 2 − 10x + 8 in vertex form.  precal

A: Given :f(x)=x2-10x+8

Q: Find the maximum value of x2+20 divied by x+1 on the horizontal span of 0 to 10.

A:

Q: Let f(x)=3(x+2)(x+3). What are the coordinates of the vertex?

A: X coordinate of the vertex=-b/2a Y coordinate of the vertex=putting value of x coordinate in f(x).

Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: The function y x- + ax +E6 has zeros at x = -5 and x = 6. || Determine a and b exactly and enter…

A: If equation is cx^2+ax+b=0 than product of roots is =b/c Sum of roots=-a/c

Q: Calculate Duf (2₁-4,1) in the direction of 9 = 2₁ +2²₁ +3k for the function f(x, y, z) = x² +…

A:

Q: Find the vertex of the function: y = 2Vx + 9- 2 O (9,-2) O (-9,-2) O (-9,2) O (9,2)

A:

Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: Given (-1,12) is the maximum point for a quadratic function f(x) = 4h-(2k+x)²,where h and k are…

A: Given quadratic function is fx=4h-2k+x2

Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Let h(z) = -2z 2 + 12z + 3. Complete the square and find the maximum value of h.

A:

Q: Without using Calculus, determine whether the two variable function f(x, y) = 5x2 − 4xy + 5y2 has a…

A: The given function is f(x,y)=5x2-4xy+5y2

Q: Explain why z2 = x + 3y is not a function of x and y.

A: The given equation is z2=x+3y. The objective is to explain why it is not a function of ‘x’ and ‘y’.…