Activity 2 Prove the given statement/s using two-column proof. Given: AT > AR Prove: LR > LT A À R T

Q: H 2. Given: m21= m23 Prove: MZDEG=MHEF 1 F Statements Reasons 1. m21=mZ3 1. 2. m22=m2 2. 3.…

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Q: Using Boole's Rule, Evaluate (x² + 3y²)dxdy

A: Given:                ∫02∫0yx2+3y2dxdy To do: Evaluate the integral using Boole's rule.

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

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Q: (b) Defined f(x) = > an sin nx = a1 sin x + a2 sin 2x + .. .aN sin Nr, %3D n=1 where N is a positive…

A: Using the results of part (a)

Q: Suppose that > ak = a and let c E R. Prove, in all the that (c-an) = gory detail necessary, = c•Q.…

A: We will give two proofs one based on partial sums and the other will be a direct proof.

Q: B E D

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Q: Given: 23 = Z1 Prove: АВ АС 2 3/6 E

A: Given: The angle ∠3 is equal to ∠1. Concept used: If the two angle of a triangle is equal then side…

Q: Find dy if g-s(tant). and t= CostX)

A: Given functions,  y = sin (tan t) t = cos (x) the derivative to find is, dydx = dydtdxdt

Q: 6. Given: ZP=ZR; ZQ= ZS Prove: PO| RS P. 'R

A: ∠P≅∠R,∠Q≅∠S

Q: 8. Given: JK = LM, ZJKM = ZLMK J L. Prove: AJMK = ALKM N. M Statements Reasons 1. 1. 2. 2. 3. 3. 4.…

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Q: The mean weight of female nurses working at a local hospital is equal to 159 lbs. Express the null…

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Q: Evaluate. d [arctan a – In ¤] dæ 1 1+#? 1 sec2 x sec² ¤ 1-x²

A: As we know that: The sum rule: f±g'=f'±g' The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1…

Q: Prove that if a e R, then a 0 = 0 = 0 · a. Suppose x, y, z E R. Show that xz = yz if and only if…

A: We will prove the given statements.

Q: b, c e R such that abc

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Q: A function 2=fLX,Y) is given. Gire the indicated apprbyimation USing the totas diftertntial in %3D…

A: We have to approximate f(5.1,3,98) by total differentiation.

Q: Prove Me! Directions: Complete this two-column proof using the given diagram. Please mark up your…

A: Here we are given that SP || OU, then alternate angles are equal and corresponding angles are equal.

Q: (JX K.k).K = 0 (J¹Xk.K) k = 0 aj Əxx.x = JX, K.K

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Q: Prove that t(Cos0-iSino)

A: To prove: 1z=1rcosθ-isinθ We know that polar from of complex number Z is defined as z=rcosθ+isinθ,…

Q: Which condition would prove AJKL ~ AXYZ?

A: Here we have to find the ratio between two sides such that the given 2 triangles will become…

Q: I- (1 – 4 x) Find when a = - 5. 26 O A) O B) – 21 | - 26 O D) - 14 O E) - 5

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Q: Given: m < 1 = m < 2 m <. 3 = m<.4 Prove: m<SRT = m< STR?

A: Given: m∠1=m∠2, m∠3=m∠4 According to given data m∠1=m∠2…

Q: Theorem:- af, X2, 13, Xy , Ng be The Yandom sample of size 5 from normal papulation. t, to = 2 t3 =…

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Q: Which theorem can you use to prove that GHJ and GKJ are congruent? 8 G J K O A. ASA B. SAS C. SSS D.…

A: The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the…

Q: M [e-ax; p] = Гр) Re (p) > 0

A: It is a simple, formula based proof by using laplace. Mf(x); s= ∫0∞xs-1f(x) dxM[e-x; p] =…

Q: which one of the following is a proof for AUU = U AUU={x I XEAVXEU} = {x I xO EAVT} = {x I T} = U…

A: Given L.H.S. =A∪U Now, it can be expressed as A∪U=xx∈A∨x∈U=xx∈A∨T=xT=U

Q: Show that the function e cosy ti Siny) is an andlytic Runction 2 W= Sin Z Q2. Determine whe ther…

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Q: %3D Aind the increasing and decieasing intesuals. find the relatue extrema of F tind the concave up…

A: The function is  f(x)=(2-x)1/3

Q: 1. Given: AB DE, ZB=ZE, and ZA=ZD в F Prove: AABC=ADEF Statements 1. AB DE Reasons 1. Given 2.…

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Q: Which of the following about Ex; – x is true? A. Exi - x >0 C. Ex; – x > I B. Ex; - x< 0 D. Σx-X =0

A: Formula to find sample mean ( x¯ ) x¯ = ∑xin Where ,  ∑xi is sum of all observations in sample. n is…

Q: Find a defineton ofa duiabailidy kbation I on Zo by Fris rule : for eluments A nd B gf Im. ALB if…

A: Given: Divisibility relation "|" on Zm ,for  some A,B,C∈Zm A|B if and only if AC=B

Q: Prove the given statement by the indicated method. (1). By Direct Proof: "Vm,n € Z*,+> 2."

A: ∀m, n∈ℤ+,We know square of an integer is always non-negative Hence (m-n)2≥0…

Q: Find the intensity I of an earthquake measuring R on the Richter scale (let I, = 1). Southern…

A: Calculate intensity I. Given I0=1, R=8.25 Richter scale Formula: R=log(I/I0)