3.3 let f be abounded Measurable (17) Function on E.If n E = UK K=1 where the sets AK are measurable and pair wise disjoint then F= 21. F K= | AK

Q: 2. Let f be a function defined for all real numbers x -uch that f'(x) < 0 and f"(x) < 0. The table…

A: here we will use relation between a function f(x) and its derivatives to find possible value of W

Q: 本y LLLL YEI L12-10_80-6L 618110112

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Q: Q.Prove or disprove the following: if f and g are measurable functions, f2 +g* then 2+ g2 is…

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Q: Show That Zero is measurable any function on aset of Measure

A: We have to show that any function on a set of measure zero is measurable. Let E be a set with m*E=0…

Q: consider set a and b with |A| = 9 and |A| = 20 a. how many functions f : A -> B are there b. how…

A: Given set A and set B with A=9 and B=20 (a) We have to find the number of functions f:A→B. The…

Q: 1. Use the given graph of f to find a number 8 such that |x - 1|< 8 | (x) – 1| < 0.2 if then

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Q: 7. Consider a relation that defines the height y of a tree for a given time t after it's planted.…

A: A relation in x and y is called to be a y is a function of x if for each value of x in its domain is…

Q: Choose the correct statement about the below function 00 B O One to one and onto O One to one but…

A: By using function theory

Q: 3.3 let f be abounded Measurable Function on E.11 n E = UK K=1

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Q: Q.Prove or disprove the following: if f and g are measurable functions, f2 + g² +2 then is meaurable…

A: Using the properties of measurable functions,

Q: 2.58 Given an example of f E C (a, b) for which the range of f is a) a finite open interval. b) an…

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Q: X x² + 1 Let f: RR be defined by f(x) = f is a Borel function. O f is not a measurable function. a.…

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Q: 3.11 If a real-valued function f defined on the real line is monotone nondecreasing or…

A: It is given that,  f is a real valued function defined on the real line and f is monotonic. We have…

Q: x + 2 ] Let f(x) = and g(x) = x² + 2. x + 3 range of f • g is O[4/5, 1). O(0, 1). O(-00, 1). O(4/5,…

A: Given that                                                 f(x)=x+2x+3  &amp;g(x)=x2+2

Q: Use the given graph of f to find a number 8 such that if |x - 1|<8 | f(x) – 1|< 0.2 then - YA 1.2…

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Q: 3. Let P be the set of all planets in the universe. Let d be the function that takes as input a…

A: The codomain is the set of all possible values which can come out as a result but the range is the…

Q: 5) Circle all of the following that represent functions 1 4 2 5 A in out in out 5 5 6 23 3 6 4 6 1…

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Q: Suppose that the function g is defined, for all real numbers, as follows. if x+0 -1 g(x) = -2 if x=…

A: for the given function

Q: Suppose f and gbare functions with domain R . If both f and g are even but f+g is odd, the prove…

A: Even function :Let us consider  a function f then  f is said to be even if f(x)=f(-x) Odd function:…

Q: Choose the correct statement about the below function 00 OOne to one and onto O One to one but not…

A: A function f from A to B is one to one if every elements of set be is mapped to exactly one element…

Q: 1. Use the given graph of f to find a number 8 such that |x – 1|< 8 | f(x) – 1| < 0.2 if then yA 1.2…

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Q: * 10. Let a be a real number and let f be a real-valued function defined on an interval containing x…

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Q: Which one of the following functions satisfies the hypotheses of Rolle's Theorem in the interval…

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Q: Q.Prove or disprove the following: if f and g are measurable functions, f² + g² + 2 then is…

A: We know that sum, square, scalars multiplication, and division of measurable functions is…

Q: 4. A function is shown on the graph below. Answer the following questions regarding it. (a) Give the…

A: Given that the figure, a.) To find the output for each input :- Input = 1   ⇒ output = 2 Input = -6…

Q: Q.Prove or disprove the following: if f and g are measurable functions, f² + g? is meaurable…

A: Given f and g are measurable functions.