G Given: AT GS, AT || GS 5. A Prove: AGAT = ATSG

Q: find the value of cE CoB] for flx)= that satisfy value theorem. mean

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Q: Let X-Uni(60,90) find P(x <= 75) 1 none O 0.7 0.5

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Q: Let 'H' and 'Gʻ are two non-empty sets which are defined as; H = (x; -1 sIs1}=G and modulus function…

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Q: Find the interval of En=o 2"(z – 3)" O (3.5, 0) O (2.5, 0) O (2.5, 3.5) O (2, 3)

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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: 1. a) Let y =x2 +3 for 05x54. Find a number c that satisfies the conclusion of the Mean Value…

A: We'll answer the first question, since the exact one isn't specified . please resubmit for the…

Q: 95- If f Cx)= X え anel gCx)= |-Va Find fog aned gof a - b- the range and odomain of fog

A: (a). We have f(x)=x2 and g(x)=1-x. Using this, we now have f∘g=1-x2=1+x2-2·x=x+1-2x. Similarly, we…

Q: If E and E, are measurable , then (E,UE,) is not measurable. ylgn

A: False.

Q: Find the perimeter of AKLM. .12 Ans: K G M 18 17 20 O 15

A: To find: The perimeter of the triangle △KLM. Given: The length of KL is 7 units. Formula used: The…

Q: 2. The Mean Value Theorem (M.V.T.). First proved by Joseph-Louis Lagrange. 1.) Let f be a continuous…

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Q: A monotone sequence is convergent.

A: 1) If f is continuous on A then fn is also continuous  on A So The statement is true

Q: 12 Given: F : =â, determine F•â. 2

A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

Q: 2.59 Find || f |sup if a) f(x) = x on (-1, ). So if x E Q, b) f(x) = – x² .2 if x ¢ Q. -

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Q: Let f be the function given by f(x)=x'. Find all values of c that satisfy the conclusion of the Mean…

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Q: If F&) and g(x) ave combinuous on fanb] andit =5oprove thab b. b. Icefanb] Such that ffe)=gle).

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Q: compute measuralle

A: [f&gt;t] is an inverse image of (t,infinity) That leads us to give an answer.

Q: If yo <0 then the interval of validity for IVP: y = y? ,y(0) = yo is: Celect one: O a. None of the…

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Q: 34) Deter mine the function at which points, xス f(x ) = if xE if XE IRI& -x2 is contiìNUOUS.

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Q: 1. Let a and b be real numbers such that a < b. Apply the Mean Value Theorem to f(x) = In(cosh x) to…

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Q: Show that Let ECR" is measurable set. If µ(E) >0, then E have a non-measurable subset

A: Here, we introduce the notation Gr :=G∩[0, r) + 1-r ∪ G∩[r,1) - r for G⊂[0,1) and r∈R. Note that…

Q: 15 Let (x+1) {x-2}" 20 g"k) = concave upX-) on what interval(s IS (NOte: Crinen gil but aske about…

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Q: Determine the values a, b, c, and d such that the function f satisfies the hypotheses of the Mean…

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Q: Use the table below to find the indicated values: X 3 6 9 13 f-¹(1) = f-¹(12) = f-¹(7) = 14 f(x) 1 4…

A: By using the table below to find f-11, f-112, and f-17. x 3 6 9 13 14 fx 1 4 7 12 16

Q: Let f(x)= 2x ; OCxCI, Find E(3X+6) 3 4 8. 6.

A: In question, We have given pdf of X. Then we'll find the value of E(3X+6). The solution is below,