2. Find the domain and range of the function y = Vx + 4

Q: Find the relative extremes of the two-variable function f(x, y) = 2x3 + 2y3 + 6xy + 1

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Q: Find the inflection point of the curve f(x)=2x³ – 18x²+ 30x. О а.3 O b. 3/2 С. 9 O d. None

A: We have to find out point of inflection

Q: Find y=f(x), if f''(x)=3x^2, f'(0)=-7 and f(0)=2.

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Q: The function y=f(x) satisfies the conditions y(0) = 1 and y'=xy³/4. What is y(1)?

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Q: find the specific function values. ƒ(x, y) = x2 + xy6 ƒ(-3, -2)

A: Given function:

Q: Consider the tables of values for the two functions shown. y fx) y = g(x) -2 --2 -1 0. -1 4 0. What…

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Q: + The Range of y [2x + 1] is Z. TO FO

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Q: t(x, y) x² + y?

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Q: (b) Determine the domains and range of this function: y = v1 -x-

A: The given function is y=1-x2 the domain of the function is -1≤x≤1 In the interval notation the…

Q: Determine whether the equation xy - 5y = 1 defines y as a function of x.

A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

Q: The range of function y=(x² – 1) is

A: on solving this we get the

Q: Find the slope of the curve Y = Vx at the point P (4, 2).

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Q: find the specific function values. ƒ(x, y) = x2 + xy5 ƒ(2, 3)

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Q: Find and classifythe extreme Point of the function f(x,y)= 3yx+x -3*2

A: Given function,  fx,y=3y2x+x3-3y3-3x2+2 Partially differentiating w.r.t. 'x' to both sides-…

Q: Determine whether the equation defines y as a function of x : xy + 2y = 1

A: we have to determine whether the given equation defines y as  a function of x. given:  xy+2y=1

Q: 2. Match the functions with its graph. y = Vx – 3 b. y = 3 vã c. y = v – 3 d. y = v-x+ 3

A: Part a,Given,         The function is y=x-3.

Q: The range of the function f(x, y) = 1 3+Vx+y is equal to:

A:

Q: Consider the function y = 1 2r2

A: To find: The horizontal and vertical asymptotes of fx. Given: The function is fx=2xx2-1. Concept…

Q: Find domain and range F(x,y)= Vx-1

A: Since you have asked multiple questions in a single request, as per policy, only the first question…

Q: Plot the following functions 1. y = -V2x +1 2. y = (x- 1)3 + 2

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Q: Find the extreme values of f(x, y) = x² .

A: Given,                f(x, y)=x2+2y2                           ...(1) Subject to…

Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

Q: Find the indicated value of the function f(x,y) = 2x + 6y - 2. f(4, – 2)

A: We the the value of f(4,-2).We Put the given points in the given function.

Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

A:

Q: The Range Rf for the function y = Vx is:

A:

Q: For function f (x, y) = y2 x2 +1

A: Please refer the attached image for complete solution.

Q: Find the domain and range of the function f(x,y) = √√y − 4 + x2

A: Given: Domain: We must have y-4>=0 and x to be not equal to 0. So,          Domain = -∞, 0∪0,…

Q: If x2+xy+y3 =1, find the value of y" at the point where x=1.

A:

Q: State the equation of f(x) if D = {x = R | x = }} and the y-intercept is (0,2). x + 1 a) f(x) = 3x+2…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the relative extremes of the two-variable function f(x,y) = 2x3+2y3+6xy+1

A: maximum at (-1,-1)

Q: Find the domain and range of y=f(x)

A: To find the domain and range of y=fx

Q: Find the domain and range of the function z = xy /(x + y)

A: Solution:- The given function is  f(x,y)=z=xy(x+y) ⇒f(x,y)=xy(x+y) domain  is the all the input…

Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: Plot the following functions 1. y = - V2x +1 2. y = (x - 1)3 + 2 3. y =-1 2x

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Find maximum and minimum points of the following function: y = 3x? – 2x +1

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Q: Q2// Find the domain and range of the following functions: 1 1) y 2) y = Vx +4x +3 1 1 * +2

A: Given: 1) y=11-1x+22) y=x2+4x+3

Q: If  x2 + xy + y3 = 1,  find the value of  y'''  at the point where  x = 1.

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Q: Determine whether the equation defines y as a function of x X^2-4y2=1

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Q: Given the function + y-4, find y'. Oy = Oy =

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Q: Find the extreme values of f(x, y) = x² + y² .

A: The given function is f(x,y)=x2+y2. Find the extreme values of f(x,y)=x2+y2 as follows.

Q: Find the domain and range of the function. - 4 g(z) = Vz+1

A: Domain is the possible range of values where is the function is defined and range is set of values…

Q: Sketch the level curve of the function f(x, y) = x² + y? 2 for c = 1.

A: Level curve:  The level curves of a function f of two variables are the curves with equations f (x,…

Q: 1) Determine whether the equation defines y as a function of x. x = y3

A: Givenx=y3

Q: 2 Ax, y) = V 16 – x – 4y²

A: Given function  fx,y=16-x2-4y2fx,y=16-x2+4y2 Domain pf the function  16-x2+4y2≥0x2+4y2≤16x216+y24≤1…

Q: Find the x-values of the stationary points of the function  f(x) = x^4 + 4x^3 - 4x^2 - 24x

A: Given: f(x)=x4+4x3−4x2−24x

Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: 19. Given the following functions: y = 8x – x2 and y = 3x %3D | Find their points of intersection.

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the y-intercept(s) of the function f(x)=-x+5x-6. О 5/2 O - 1 O 6 O -6

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Q: Find the extreme value of the function f(x,y) x + y3 - 3x - 12y + 20.

A: To find extreme points of the function f(x,y) we put fx=0 and fy=0. Then we put the extreme points…