Is the given function f (x, y, z) = xª – 6xy? + 723 continuous at the origin? Yes No

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

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Q: Which of the following pair of functions linearly independent

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Q: Find y as a function of x if x²y" +5xy - 12y = x², y(1) = −9, y(1) = 9. y=

A: We have to find as a function of .

Q: The domain of the function f(x,y)= V1-x²-y² +In(x²+y² – 1) is empty Select one: O True O False

A: we have to find the domain for f(x)

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: Find all local extrema of the function f given by f : R? → R, f(x1, r2) = 3x7x2+ x} – 3a? – 3x3 + 2.

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Q: Determine the expression for Fyz(x, y, z) given the function F(x, y, z) = 2x²y – xz? 3y z.

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Q: Find y" from the function: y = x² – 2xy + 3y? = 4 %3D -

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Q: 2. Find whether the function F-(* - y' )i + (v² - 3x)j + (:² - xy is irrotational.

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Q: the doi n ain of the functions

A: We have given two functions : f(x,y)=1xy…

Q: Find all functions from X = {a,b} to Y = {p,r,t}.

A: Given :- To find all functions from X = a,b to Y= p,r,t.

Q: fex)= J4-x +2

A: The function is given by f(x) = 4-x + 2 To evaluate : The graph of the function f(x)

Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: The domain of f(x,y) = /36 – x² – y² is

A: Given: The function in two variables, fx, y=36-x2-y2.

Q: ke For what values of the constant k will the Second Derivative Test be inconclusive for f(x, y) at…

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Q: Consider the function y -62 Which of the following statements is true for y? = ze Oy" = 36y…

A: Given,

Q: Sketch the following functions -2. x² + y² + 2y + 1+ 2+ z = 0 -3. z² = x² - 4y² 4. z = -x² - y² - 1

A: We need to standardized equations to get type of surface they represent and then draw it

Q: | (4z + 4y + 4+8zy) dA where R= [1,2] x (0,1]. R Let I Find

A: Given: ∬4x+4y+4+8xyddwhereR=1,2x0,11

Q: 3. Find all functions from X = {a,b} to Y = {p,r, t}.

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Q: Let F(x, y) = . Evaluate (3,2) SF.. (1,-1) F.dr

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