Find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.

Q: Suppose that f(x, y) = at which %3D - {(x, y) | 3 < x < 4, 3 < y < 5}.

A: we have ,  f(x,y)=xy at which (x,y)|3≤x≤4,3≤y≤5 we have to calculate,  ∫∫Df(x,y)dxdy

Q: В. B. Show that the function f (z) = -i z2 is analytic.

A: The solution is given as

Q: Show that the function f defined by (r, y) = (0,0) f(x, y) = { 22 + y (r, y) # (0,0) x + y

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Q: The set of all points where the function f(x) = x |x| is differentiable is (A) (-∞, ∞) (B) (-∞, 0) U…

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Q: Find fx for f(x, y) = In(x – y).

A: Given that fx,y=lnx-y To find fxx It can be found by fxx=∂2f∂x2     =∂∂x∂f∂x

Q: Assume that f(r, y) is a function given by if (r, y) # (0,0), f(r, y) = 0 if (r, y) = (0, 0).

A:

Q: Show that if f (x, y, z) = 0 then = -1.

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Q: Let f be the function defined byf (z) = 3z2 -z. What is the absolute minimum value of f on the…

A: Topic = Application of Derivative  The absolute minimum value of f is 0.

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or…

A: for all x1 , x2 in a,b when x1&lt;x2 then fx1&gt;fx2 claim- is it decreasing or increasing

Q: Let f(x, y) = xy - 4x on

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Q: Find and sketch the domain of f(r, y) In(r - y) 6. -

A: Given:      f(x,y)=lnx-y9-x2-y2·x2+y2-4    Interval notation : -3,0∪0,3   Set builder notation:…

Q: Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: Solution is given below:

Q: Define a relation T from R to R as follows.for all real numbers X and Y, (X,Y)€T means that Y2-X2=1…

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Q: Find the interval in which the function is positive. f(x) = x2 - 7x + 10 %3D I. (- , 2) II. (2, 5)…

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Q: Find four relations from {a,b} to {x,y} that are not functions from (a,b} to x, y}

A: We have to find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.…

Q: Let A = {x, y} and B = {w,z}. Describe all relations from A to B. Indicate which of these are…

A:

Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: Coo show that the f(x,y)=X+4xy-3y gdegrad is homogenaow of

A: Concept used: The function is homogeneous of degree n if fkx,ky=knfx,y. Given: fx,y=x3+xy2-3y3…

Q: Oz(-@) and Ør(@) are conjugate functions. That is, Px(-@) =Øx°(@) %3D and Oz"(-@) = , (@)

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Q: ) Verify the continuity of the function f(x, y) 26– 2x -- y at the point (2,-3).

A:

Q: Find the average of the function h (x) = 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: h(x)=4x2-x+5 on the interval -2, 3

Q: show that F(X<1|Y<y) + P(X <1) for some z, y.

A: dependent events:  Two or more events are said to be dependent if occurrence of one affects the…

Q: Let f (x, y) = 4-y² In(y–z²) %3D Draw a picture of the domain of this function.

A: x,y ∈R2

Q: Differentiate the function.

A: we have bee given the equation  u=t23+2t3 it can be written as  u=t21/3+2t3

Q: Determine the point at which the function is not analytic iz² – 2z ƒ(z) = 3z + 1 - i

A:

Q: Let

A: We will find the partial derivative with respect to x.

Q: Express the set W = {x | |x| < 3} using interval notation. %3D

A:

Q: Find a function f(x), such that f"(x) = 3sin(4x). %3D

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Q: Find and sketch the domain of the function f (x, y) = In(9 – x² – 9y²).

A: The given function,  f(x,y)=ln9-x2-9y2

Q: Find a function f: Q → Q that is both surjective and injective but not the identity function.

A:

Q: Describe the long run behavior of f(x) = – x² - As x → – ∞, f(x) → ? V - As x → ∞, f(x) → (? V

A: Describe the long run behavior of f(x)=-x5As x→-∞, f(x)→?As x→∞, f(x)→?

Q: Let f(x) = ∥x∥. Find out its conjugate function f ⋆ and prove your conclusion.

A:

Q: Express the set W = {r|x < 2} using interval notation. %3D

A: W={x | x&lt;=2}

Q: Find the slope of the line tangent to the graph of the relation (5x - 34e)(y +5e) = e(x - 10e) at…

A: The given relation is, 5x-34e(y+5e)=e(x-10e) taking ln both sides,

Q: Differentiate the function. f(x)  = In 1/x

A: Given: The function fx=ln1x, To find: The differentiation of given function.

Q: Q1) check the continuity of fX) at X--1, 0,1.2,3 -1<x<1 f(x) = 2x-1, 3x-2 2SxS3 2, 1=3

A: As per the answering guidelines we need to answer only first question so please repost the other…

Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: 5. Show that the functions x,x? -,x³ -x x are mutually orthogonal in the interval [-1,1].

A:

Q: Analyze continuity of the function.

A: Before going to the continuity, we will be finding the domain of the given function. Note that the…

Q: Assume that f(x) is a differentiable and invertible function so that f(3) = 4 and f'(3) = .…

A: fx is differentiable and invertible function so that f(3)=4 and f'(3)=12

Q: – one function from X into

A:

Q: Find the first 3 Iterates of the function f(x) = - 2x + 3 when x 3 =0 . 3, - 3, 9 - 2, 0, 2 2 z, -…

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Q: 5. Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q1// Find and sketch the Domain of f(x,y) In (x' y)

A:

Q: Find fqix(q|x) for x € {0,1} and all q.

A: Given Information: Q be the continuous random variable with pdf, fQ (q) =6q(1-q)       ; 0≤q≤10…

Q: Evaluate the function at the specified points. f(x, y) = y+ xy', (-2,4), (1, –3), (3, 1) At (-2, 4):…

A: Topic: function

Q: Use the chain rule to show that for any differentiable function f(x) > 0, f'(x) [In(f(x))]' = f (x)"…

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Q: Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}.

A: Given: Let A=a, b and B=x, y To Find: Four relations from A to B that are not functions.

Q: Form the PDE by eliminating the arbitrary functions from the relation z = f(xy)

A:

Q: what sets X and Y is the function X Y defined by 3x f (x) = x +4 %3D ijection?

A: