Let u and v be real valued functions in x and y. If u+iv and u-iv are entire functions then u and v are constants. O None of these If u+iv and u-iv are entire functions then u is a function in x only and v is a function in y only. If utiv and u-iv are entire functions then u is constant or v is constant (not necessary both).

Q: Give the domain of the function. z = 4x – 5y O {(x, y): x and y are real and 4x – 5y = 0} O {(x, y):…

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A: Given data f1 and f2 are two functions from R to R  and  f1 = x4 , f2 = x - 5

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Q: If f (x) domain of f • g? Vx + 1 + 5 and g (x) +, then what is the X O a) [-1, ∞) b) (-o, – 1) U…

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Q: Let u and v be real valued functions in x and y. * If (u+1)+iv and (u+1)-iv are entire functions…

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

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Q: 1- DETERMINE A AND BEC FOR THAT THE FUNCTION: (f:C+a=+b -2 +az +b f(=) = IF = #1-i, 2-1+i (f(1– i)…

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Q: Let X = {a, b} and Y = {1, 2, 3}. Find the number n of function: a. From X into Y

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Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: If f(x, y) = A In (x² - y) -x+y+1 O {(x, y) x² > y, {(x,y)|x² ≥ y, ○ ○ {(x, y) x² > y, | then the…

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Q: 1. Show that if f: [a,b] → R and a < xo <b, then f'(xo) exists if and only if D f(x) = Dƒ(x) € R.

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Q: 2. Verify that the function f(x) = x³ – 4x satisfies all three of the conditions of Rolle's theorem…

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A: Here if a≠b then f(a)≠f(b) is equivalent as f(a)=f(b) then a=b

Q: if f(x,x2) =,0 < x, < 1,0 < x2 < 1, then f(x2/x,) = 1

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Q: If g' (x) = Ofor all values of x in the interval (a, b), then g is a constant function. True False

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Q: A periodic function f, is defined on R , the set of real numbers by 34. 0<x<3, 3 <x5 5, f(x) = {2x –…

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Q: Let u and v be real valued functions in x and y. O None of these If u+iv and u-iv are entire…

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Q: If a function f is differentiable on [7,11], then which of the following statements must be true?

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Q: (A) Verify if the function f(x)= x² +5x+6 satisfies criteria stated in Rolle's theorem on |-3, 2 and…

A: f(x)=x2+5x+6 in the interval -3,2

Q: 2. If f : A → B and g : B→ C are injective functions, then gof: A → C is also injective.

A: We need to prove/disprove statenemt two.

Q: Let f(x) Then (f o g)(x) — 5а — 4 and д(x) — г* — 4+ 2. 4х + 2. = x - - (go f)(x)

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Q: Give the domain of the function. z = 4x - 5y {(x, y): x and y are real and 4x - 5y = 0} O {(x, y): x…

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Q: Let u and v be real valued functions in x and y. If (u+1)+iv and (u+1)-iv are entire functions then…

A: Solution:

Q: If f(x,y)=x²+3xy-2x+3, then f(x+h,y) is... Jika f(x,y)=x2+3xy-2x+3, maka f(x+h,y) adalah... 1. O…

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Q: 2. Suppose there are three functions f,g,h such that g = ho f. Prove that if f(x) = f(y) then g(x) =…

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Q: Prove that the function is odd. f(x) = a2n+1x2n+1 + . . . + a3x3 + a1x

A: Consider a function: fx=a2n+1x2n+1+a2n-1x2n-1+⋯+a3x3+a1x

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Q: Let a and B be real valued constants, and let F (x) VEra - 28 /x+a Find f, g, and h such that F (x)…

A: We have to observe the given function.

Q: Let u and v be real valued functions in x and y. If (u+1)+iv and (u+1)-iv are entire functions then…

A: Entire function: If a function fz is analytic on the whole complex plane, then it is said to be…

Q: let f(x)={x^2+2, x >-1 AND -x^2-x, x less than for equal to -1} compute f(0), f(-1)and f(-2) a. 0,…

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Q: 10. Let Is f convex, concave, or neither? ƒ(x1, x2) = x² − I1X₂ + x² + 3x₁ − 2x₂ +1 (71; 72) € R². -

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