Describe the largest set S on which it is correct to say that f is continuous хx* + ху — 5 а. f(х, у)- x² + y +1 b. f(x,y)= ln(1+x² + y² )

Q: $. flx) =3=x*, glx)=x² -4 d) Domain A domain H) Domain

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Q: What values of a and b make the function f continuous everywhere? I -4 if z<2 H-2 az² – bz = 18, if…

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Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: Let In, f be real fun ction on 52.Show {w : fu(w) yo frw) }=Ŭ o U {w-1fu(w) %3D f(w)1>と3

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Q: Continuous Functions -3z+-4 I<-1 f(#) = Az+ B -1< a < 3 -1a +3 Determine the values of A and B that…

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Q: For what values of a and b is the function f continuous on (- 00,00)? (Write only the values of a…

A: For what values of a and b the function f continuous on -∞,∞            a-3x     if x&lt;-1f(x)= 4a…

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Determine whether each of these functions from Z to Z is one-to-one. a) f(n)=n−1 b)  f(n)…

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Q: Suppose that f is continuous at (4, 6) and that f(4, y) = y' for y + 6. What is the value f(4, 6)?…

A: Given that f is continuous at 4,6 and that f4,y=y3 for y≠6. We have to find the value f4,6. Since,…

Q: Construct a continuous function that shows that the intervals [0,1] and [2,6] are homeomorphic

A: In the given question we have to find a continuous function from the interval [0,1] to the interval…

Q: Let f be a function defined on [11, 25]. Suppose for every x = (11, 25) d. dx -f(x) = 0. If f(12) =…

A: Given query is to find the value o f(24).

Q: Let x, y € R. Then x^2+y^2 = 16 defines y as a function of x. True False

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Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: We are given the following functions f : Z → Z × Z, f(x) = (x^2, x^3).  (a) Find images f({1, 2, 3})…

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O…

A: Given fx is continuous between a and b

Q: 2n- X 2n 3. Let f(x)- x-x +... + xxx-ax+b. Which value for'the pair (a,b) will X guarantee that the…

A: At x=1 the graph of f(x) touches x axis. This means at x=1, f(x)=0Or, f(1)=0From it we get equation:…

Q: 3. Given that fæ) is continuous for all real numbers, find the value of "a" & “b". 2ах + 3b , х<1 =…

A: It is known that if function is continuous for all real numbers, then left-hand limit and right hand…

Q: Which . functions are continuous through its domain?

A: Continuous Function: A function fx is continuous at a point c of its domain if  limx→cfx=fc A…

Q: Write down the first order and second order conditions for maximum and minimum of a function y =…

A: Given,  Function y = f(x1, x2, x3,  .  .  .  , xn). To find the first order and second order…

Q: The derivative of the function In In(coth a? – 1) is

A: follow next step