If F =< 0,cos z, cos y >, and S[F ndd is equal to S: r=, 0

Q: 9 t Suppose fe R[a, b] and m < f(x) < M, for all æ € [a, b). Prove: m(b – a) < f(x) dar < M(b – a).

A: Given: f∈Ra,b and m≤fx≤M,for all x∈a,b. To prove: mb-a≤∫abfxdx≤Mb-a

Q: Let X - N(H, o?). Show that the MGF of X is etu+o²

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Q: Let f(x, y) = xcosy- y e*y. fry at (1,0)is equal to: -5 3 -1

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Q: If I, = S e cos" xdx, where n > 2, prove that In 1+n(n-1)In-2 n² +1

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Q: IF F the Polynemial Eunction is > FCa) = dotan X t azX +..t an X then Fur a mati x A Of n xn, de…

A: The given matrix is A=2045 and the polynomial function is defined as F(X)=X2-5X+2.

Q: let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3

A: This is a problem of Differential Calculus.

Q: If f(x) = exp(-x).In(x), then , when x=1, df/dx is 1/e C 2/e O e nonexistent O

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The IVP is well-posed if f(t,y) =y satisfies the Lipschitz condition. Select one: O True O False

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Q: part 4 of this problem

A: Introduction: Suppose A1, A2, …, An are n events, and A1ꞌ, A2ꞌ, …, Anꞌ are their respective…

Q: f(x, y) = In(4 – a² – y?) + fonksiyonunun tanim kümesini belirleyip tanim kümesini koordinat…

A: for defining ln function :4-x2-y2&gt;0x2+y2&lt;4            .....(1)

Q: {o, c, s}. Find two values of c in (0, 5) such that Uf (P) = 21. %3D Let f (x) = x on [0, 5], and…

A: Given : f(x) = x on [0,5] Partition of the interval P = {0 , c , 5 }. Uf(P) = 21

Q: Let w = x. In(xy² z® ), then which of the following is a. O b. 0 -2 d. 22 O e. C.

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Q: 2. Suppene F=Q . L the set 4 2 3 4 lnianly ? why any o? nhar happeno is F=Zs ? nidependent so? rhar

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Q: Let o e C (RN), heRN - {0}. For te IR', we set (x + th) – (x) (x) = 1- Show that E C (IRN).

A: Since, you have post multiple question. I am answering first one. Please post again for the rest…

Q: Suppose RV X has the following PMF: p(0)=0.2, p(1)=0.5, p(2)=0.3. Find E[X], E[X^2], E[X]^2.

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Q: O let X be fe VrV Finel ECX) ael E(x)

A: Note: As per guidelines we can answer only one question at a time. I request you to please repost…

Q: 2. Let P: C(0, 1]C(0, 1] be given by Pp "- e. Compute dP(x). Be sure to justify your calculations.

A: Given: The given function is  P:C20,1→0,1 given by pφ=φ''-eφ

Q: ces. 1 W= d b such that Z = ax + bY. calars a and b such that w = ax + bY? = 0, is it true that a =…

A: We have to find the following conditions according to the given information

Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

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Q: Q: If f(x)= ax* + withE a, > 0, b >0 +b,x + b, then show that Lt f(x)=o ifn>m. %3D

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Q: Given: ZABD = LAED Prove: ZC = LF C B A E F

A: Given: ∠ABD≅∠AED if ∠ABD≅∠AED then  180∘-∠ABD=180∘-∠AED                                         ∵…

Q: Let Q be an m xn nauix with ni >n and orthanormal columms, then we have both Q' Q = 1, and QQT -1 O…

A: The solution of the problem is given in the next step.

Q: If e'z = /3 -i.Then Im (z) is %3D O a. e2 b. 0 С. 1 d. -In(2)

A: eiz=3-i Now let z=x+iy. Then, ⇒eix+iy=3-i⇒eix+i2y=3-i⇒eix-y=3-i…

Q: In the given question as follows, determine whether the statement is true or false. If it is false,…

A: A function F(x) is an anti-derivative of a function, then ddxF(x)=f(x). We know that two functions…

Q: Let H(x) be an antiderivative of 1sm z if H(5) = 7, then H(2) =

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Q: If f = t" – a E F[t] is irreducible, u e K is a root of f, and n/m e Z, show that |F(um): F|| n What…

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Q: Let S be a randor mpute E(S|Z).

A: Here S be a random variable with P(S&gt;t)=e-t where t&gt;0 let Z=min(s,t) hence P(S&lt;t)=1-e-t…

Q: Show that E(SSE) = (n - k-1), as in Theorem 7.3f, using the following approach. Show that SSE = y'y…

A: Please find the explanation below. Thank you

Q: 1. Let P, X,Q denote distinct points of E. If X is between Pand Q, show that d(P,X) d(X,Q) 1-t, for…

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

Q: Suppose m = min{ Vx for x E [4, 0)}, then the value of m is Answer:

A: As per bartleby guidelines for more than one question, only 1st one is to be answered Please upload…

Q: and C {cidifig 3,B={f,j} 86) Let A = Is c CA?

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Q: Given the normally distributed r.v. X with μ=25 and P(X > 10) = 0.9332, then σequals

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Q: et X Xn XB(I,0) since X isthe mike for e then X(1-X)is the mil-e

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Q: Suppose f"(x) = N (h) + a,h? + a,h + azh +.. %3D Using Richardson's extrapolation which of the…

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Q: Let A and and A us si clar to B= M'AM cwhere M- then we finel he vala uf A follow : Find the value…

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Q: If f(x) = (15)× then f'(x) = ? %3D O a) In(15)* O b) In(15)(15)*

A: using differentiation formula

Q: Given S CRis closed and x > 0 for all x E S. Prove inf(S) is positive (Hint: In this case, inf(S) +…

A: Given S is closed subset of R with x&gt;0 for all x belongs to S. To show inf(S)&gt;0 We know-  Any…

Q: Consider the following subset of R?: S := {(x, sin(1/x)); x € (0, 1/7]}. Show that S = S' = aS =…

A: The problem is related with topology. Given that               S =  x,sin1x ; x∈(0 , 1/π]  We have…

Q: 3 det fi (A, Sa)→(B,Sq be an onder womorphin and, Sa={x€A: x Sq a} + Ø and Sp ={yEB: y <, flal}…

A: We have two order relations, one on set A and other on set B and we have a function f from A to B.…

Q: t, for t > 0, sa X 2 is

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Q: if w= /x2 + y2 + z2, x= erCos0, y=erSin0, z=ee prove that aw/ar= e?r/w and aw/ae = e20/w

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Q: The variahle x takes only two values x, and x, with frequencies f, and f. If s be the S.D. of x,…

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Q: et z xy and x 3.62,x 0.02, y 2 ,y 0.2, then the vahue f R, is 1.015 O not in the options above 0.105…

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Q: (a) Prove the following: L{f(t-r)u,(t)} =e"F(s) -ST where, (0 for t<T and 1 for t2t L{f(} = F(s)…

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Q: %3D in Fin d E(S an d Var(s)

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Q: then Res(f(z), -1) is ez 1.5 Given f(z) = +1)' А. е, B. C. * _1 D. 0, E. None of the above.

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Q: 4- Let X be ar.v with p.d.f f(x) = ax? 0 ) = 7/8.

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Q: Let w = r. In(xyz), then which of the following is 2 O a. O b.0 O d. O e.

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Q: consider the propaitiau for S=E an, where Sy = Ean is its K-th partalsu Sumy I-If Rim Sx-0, so the…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.