f(x, y) = 2x + 4y x ≥ 0 y≥ 0 x + y ≤ 6

Q: Find and classify all critical points for the function g(x, y) = x² - xy² - yx² + y².

A: The given problem is to find the critical points of the given function and classify the following…

Q: (lx) +3, x≤-3 Q4) Check the continuity of f(x) = -2x -3<x<3 " (6x + 2, x ≥ 3

A: To check the continuity of given function,

Q: Suppose that f(x) = βx2 − 3     if x ≤ 2                                βx + 2       if x &gt; 2…

A:

Q: Is the function f(x, y) = ||x| - |y|| - |x| - |y| differentiable at (0,0)?

A:

Q: iven f(x, y) = 100x + 80y - 3x² - 5y² - xy valuate f(7,6) =(7, 6) =

A: Given query is to find the value of the function at indicated point.

Q: |- Let f(x, y) = y²e* +y find fryy

A:

Q: (늘 가 G-2). Find the value. A relative extrema of the function f occurs at f(x, y) = 9x2 + 3y2 - 9x +…

A:

Q: ind and classify all critical points of the function f(x,y) = 3x²y + y³ – 3x² – 3y² + 2.

A: We have to find and classify the critical point of f(x,y).

Q: The function of two variables f(x,y)=(y-2) x^2-y^2 has: A local min. at (0, 0) A saddle point at (0,…

A:

Q: Let f(x, y, z) = x³ + 5x²yz + 3xz+ 3, v = Then: D, f(a) = 201 0 -2 and a = -5 2 -5

A: Given that f(x, y, z) =x3 +5x2 y z +3xz+3 The directional derivative is a concept from multivariable…

Q: find the critics (local max, lo cal min) Of the function f(xcy)= -x5+ Dy3+27x-24y+3

A:

Q: 9. f(x,y) Use the D-test to find all relative extreme values for the function: 2x² + 3y² + 2xy + 4x…

A:

Q: express the extreme value theorem for functions of two variables . find the absolute maximum and…

A:

Q: find the local extrema for the following function  f(x,y)= x^2 +y^2+xy-7x+4y+9

A:

Q: Which one is one of the critical points of the function f(x, y) = 2x + 2y + 8x - 4y + 11? Select…

A: Solution is given below:

Q: Check that the equation x³ + y³ + 2³ = x + y + z implicitly defines at least one differentiable…

A:

Q: Let f(x) Find f(-4) = Sx² +5 (5x2 +5 कर x < 1 x ≥ 1

A:

Q: .. Find the absolute extrema of the function with its corresponding constrain. a) f(x, y) = x² - y²;…

A:

Q: The antiderivative of the function f(x) : .2 + 11x³ is, 4 - + 2.8x4 + c - -11 + 1.2x* + c -5 + 2.8x…

A: As we know that if we need to find the antiderivative of f(x);   So,   ∫fxdx=Fx+C   From the given…

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

A:

Q: ind the absolute maximum and minimum values of f(x,y) = {(x, y) : y ≥ x², y ≤ 4}. = 3x² + 2y² - 4y…

A: Solution :  To find the absolute maximum and minimum values of f(x, y) = 3x ^ 2 + 2y ^ 2 - 4y on the…

Q: Suppose that f(x) = βx2-3     if x≤2                                   βx+2       if x &gt; 2…

A:

Q: Can the level surface x^2 + y^2 + z^2 − 5 = 0 be expressed as the graph of a function f(x, y)?

A: Level surface isif possible then we have to express as it the graph of a function f(x, y).

Q: f(x.y)= arccos( x² + y² - 3)+ In(x² +y° -3) Which of the following is the domain of function (0)…

A:

Q: Find the interval(s) where f is concave up for f(x) -4x4-3x- 5x-10 0)

A:

Q: Determine the critical point and its type of function f with f (x, y) = 3x^2y + y^3 − 3x^2 − 3y^2 +…

A: