Describe the domain and range of the function. f(x, y) = 7x2 – y Domain: O {(x, y): x is any real number, y is any real number> o{x, ): x + 0, y # 0} Range: Oz + 0 Oz z 0 Oz > 0 Oz2 7 all real numbers

Q: Find the absolute extrema of the function on the closed interval. f(x) %3D 9 — х, [-5, 1] minimum…

A: absolute can be on where f'(x)=0 and end points on the interval

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y)=x² + xy + y² - 6x +7…

A:

Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x²…

A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we…

Q: Find the domain of the function. Then compute the value of the function at the given point. f(x,…

A: To calculate domain of f(x,y)

Q: Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: 8 f (x) = 2"-5 + 3,…

A: Since there are two questions posted, we will answer the first question (Problem A.1). If you want…

Q: Find the constant a such that the function is continuous on the entire real line. 7sin x 10 11 g(x)…

A: Here we will find the value of a,

Q: True or False? The function f(x)=x3+x2−x−2 is guaranteed to have an absolute maximum and minimum on…

A:

Q: x² +9 b) f(x) = [-1.5, 1.5] x +4'

A: The given function is: f(x)=x2+9x+4 ;      x∈-1.5, 1.5

Q: - 8x2 5x2 + 5y2 if (x, y) # (0, 0); Consider the function f(x, y): if (x, y) = (0, 0).

A:

Q: Q.59 Consider the function f(x) = x² – x - 2. The maximum value of f(x) in the closed interval [-4,…

A: We know that  Second Derivative Test To Find Maximum & Minimum Let us consider a function f…

Q: Check for local maximum and minimum points of the function: f(x, y) = x3 + 3x2y - 3xy - 3x.

A:

Q: Find a and b so that the function is both continuous and differentiable. a= b f(x) = (8x³-4x² +3, x…

A:

Q: Find the absolute Minimum of f (x)= 12.1 [+ 4x - x^2 on [ 0, 5 (äbäi 1) * 16 12 20 7

A: Given  f(x)=12+4x-x2      0,5 f'(x)=ddx(12+4x-x2)=4-2x f'(x)=0 ⇒4-2x=0⇒2x=4  ⇒x=2 Critical point…

Q: f(x, y) = In(3 - x) √x² + y² = 8 - a) Find the domain of the function b) Sketch the Domain

A:

Q: Find the absolute maximum and minimum values for the function f(x, y) = xy on the rectangle R…

A:

Q: Find the absolute maximum and minimum of the function on the given domain. (x,y) = x + 5y on the…

A: we have to find the absolute maxima and minima of f(x,y).

Q: Decompose the function y = V2x3 – 4 in the form y = f(u) and u = g(x) . (Use g(x) = 2x³ – 4) Provide…

A:

Q: Find the absolute extrema of the function on the closed interval. f(x) = x³ – 12x, [0,6] minimum (х,…

A:

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

A:

Q: 2. Find whether the function F = (x -y')i+ – 3x)7+(z² - xy )k i %3D

A:

Q: A. Find and classify all the local maximum and minimum of the function: F(x,y) = (3x + 4x?) (y² +…

A: AS per the guidelines I am allowed to do the 1st question only. Kindly repost the other question…

Q: b): Apply Rolle's theorem for the function f(x) = x² + 4x over the interval -4,0]. Justify your…

A:

Q: Find and classify the absolute extrema of the function K(z) = V25 – z² on the domain D = (-5, 5). If…

A: Given that ,k(z)=25-z2  on the domain D=-5,5 First let's find the derivative and set it to 0…

Q: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: Find f + g, f - g, fg, and f/g and their domains.

A: Given f(x)=25-x2 and g(x)=x+3 To find  f+g, f-g, fg, f/g.

Q: Functions f (x) ,g(x), and h(x) are defined below. f(x) = 1 - (4)* 2 -1 0 1 2 h(x) g(x) -2 0 2 46 10…

A: at y intercept x = 0 f(x)=1-(4)x f(0)=1-40f(0)=1-1f(0)=0   From the table : g(0)=2   From the graph…

Q: f(x,y)=x2y(5-x^2-y^2) has an absolute maximum in the first quadrant. Find that maximum

A: The given function is Differentiate f with respect to x and y and equate to 0

Q: Find the absolute extrema of the function on the closed interval. 5x f(x) = [-5, 5] x2 + 16 minimum…

A:

Q: Determine the absolute maximum and minimum values of f(x) = x3 – 12x – 5 on %3D the interval [-4,…

A: We need to find absolute max and min values.

Q: Find the domain of the function. f (x) = VI– 2z BIUA · A - I Z 3 田 GO

A: Domain is the value of variable x for which the function f(x) defines.

Q: Find a and b so that the function 2x3 – 7x2 + 4, x -2 is both continuous and differentiable. a = b…

A: Function and its derivative mist be continuous so check the continuity at x= -2

Q: Find the absolute extrema of the function on the closed interval. f(x) = 4 – x, [-3, 2] minimum (х,…

A:

Q: The absolute Extrema of the function f(x) = -V-x² + 3x – 2 on its domain are Select one: a.-글,0 b.…

A: Given function is The function f(x) is defined for the values of x for which

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: Find the absolute maximum and absolute minimum values of the function f (æ) = 3z - 4r - 12z +1 the…

A:

Q: The absolute maximum of the function f(x) = 3x² + 3x + 12 over [1, 6].

A: f(x)=3x2+3x+12    over  1,6firstly, we have to find critical pointsf'(x)=6x+3=0⇒6x=-3   ⇒x=-36=-12

Q: 1. Find the Domain and the range of the function: f(x, y) = /[xy| + y2 %3D

A:

Q: Consider the function f(x) = 4sin(pi/3(x-2) + 8  what is the maximum and minimum y values and their…

A:

Q: Evaluate the function g(x, y) at the point (4, –8). x2 + y2 g(4, –8) =

A:

Q: Explain why the function f(z) = ze has an absolute maximum and minimum on the interval [–2, 2]. Find…

A: Minima and maxima of the function

Q: 5. Find and sketch the domain of the function z = f(x,y) = /2y - x². %3D

A:

Q: Find and sketch the domain of f(x, y) = √√₁ - (x + 1)² − y² + 2ln(x − y + 1)

A:

Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: Find the local maximum and minimum and the value of x where they occur for the function…

A:

Q: Find the absolute extrema of the function on the closed interval.                      g(x) = 3√x,…

A: g(x) is continuous on the given interval.  So, the absolute extreme exist and must occur either at a…

Q: Find the location of the absolute maximum and absolute minimum of the function on the interval [- 5,…

A: We have to find absolute maximum and absolute minimum of the given function on the interval [-5,…

Q: (b): Apply Rolle's theorem for the function f(x) = x² + 3x over the interval [-3,0]. Justify your…

A:

Q: Find the absolute maximum and absolute minimum of the function f(z) = r-6z +5 over [1, 6.

A:

Q: Use the EVT to find the maximum and minimum values of the function f(x,y)=−4x2y+4xy2 on the square…

A: We are given the function f(x, y)=-4x2y+4xy2 on the square 0≤x≤2, 0≤y≤2. We need to find the minimum…

Q: Find a function y of x such that буу = x and y(6) = 6.

A: