Letter C only please 10. Find the global maximizers and minimizers, if they exist, for the following functions: (a) f(x1, X2) = xỉ – 4x, + 2x3 + 7. (b) f(x1, x2) = e-(*}+x})' (c) f(x1, x2) = xỉ – 2x, x2 + }x} – 4x2. (d) f(x1, X2, x3) = (2x1 – x2)? + (x2 – x3)² + (x3 – 1)?. (e) f(x1, X2) = x + 16x1x2 + x.

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: To find the maximum revenue and items to be sold to obtain maximum revenue.

Q: A company's revenue (in 1,000's of dollars) can be shown as R(x) =-×^2 + 15x + 10 and cost (in…

A: The given revenue function:R(x)=-x2+15x+10The Cost function is:C(x)=4x+34

Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: inferpolatio shápe functions relevant for the 2D rectangular element shown below identifying the…

A: we are given a 2D rectangular element identifying the shape function for each node.   we will use…

Q: The natural domain of the two-variable function f(x,y)=(2x+2y^2)√ 2−x^2−y^2 is Choose an option:…

A:

Q: 6. Which of these quadratic functions has a maximum value? * y = 3x2 – 3x+5 y= (3-x)2 Option 1…

A:

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

A:

Q: Q4/ Find the absolute maxima and minima of the function on D, where f(x, y) = x2 + y2 +x?y+4 and D =…

A: We will find out the required absolute maxima and minima.

Q: find the local maximum value of the function xy-x^2-y^2-2x-2y+4

A: The given function

Q: A competitive firm's profit is given by T(x,.x2) = 95(4x2 + 6x}")- 4.75x, - 15x2. %3D The stationary…

A: To find stationary point of a function fx,y, we have to find fx and fy. Then we put fx=0 and fy=0.…

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

Q: Rita has 360 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length…

A:

Q: Find all the x-coordinate(s) of all relative maximums and minimums of the function…

A: f(x)=(x+5)8(x-10)7 To find out maximum or minimum we take derivative with respect to x…

Q: f minimum nction 13x L 6

A:

Q: F(x)= 4x6- 7x5 find local minimum

A: When derivative of function changes from decreasing to increasing there is minima and its gives…

Q: A competitive firm's profit is given by 7(x,, x2) = 95(4x2 + 6x)- 4.75x,- 15x,. %3D The stationary…

A:

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: