Given: DE ≅CE and DC \\ AB. Prove ΔACD ≅ ΔBDC.

Q: Let D, ECC be starshaped w.r.t the same 2, E DnE. Show that DUE, DOE are starshaped.

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Q: Given that y=e is a solulion to y" + 4y'- ky = 0 . What is the value of k?

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Q: GIVEN: PS and LT are altitudes T. to sides LM and PM, respectively. XLPT = 4SLP. PROVE: PS = LT. W.…

A: Given that      PS and LT are altitudes to sides LM and PM respectively.     ∠LPT ≅ ∠SLP Here we…

Q: If z = æe", then dz = (ev)dx + (aye) dy. Select one: OTrue OFalse

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: %3D 7. If mBC = (9x – 53)' and mCD = (2r + 45)", find mBAD. E

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Q: Let y = (sin z+ cos r)e", x E [0, 27]. %3D

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Q: (b) Evaluate Vsin r cos" rdr=?

A: Using substitution sinx =u evaluate integral

Q: Given: FE || HG FH EG Prove: %3D HD GD F

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Q: If A is PD and Tridiagonal, and p ( Tw)=0.5, then the exact calculated value of p ( Tg) is

A: Matrix  A is PD( Positive definite) are tridiagonal and ρTw=0.5 All diagonal elements of matrix…

Q: Given: LA ZE and AB DE Prove: CB DC

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Q: Find the bo calculation value. (t critical) O A) 1,441 O B) 0,652 O C) 2,078

A: b0 = 2.078 se = 1.354

Q: and casy=0t, and DLyr, Furd the exact alue of tan Ca-y.

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Q: af and If f(s, t) = t sin st, find - as at

A: Given,          fs,t=tsinst

Q: The identity LiS L xyzdzdxdy = "/2 S Sa rsin@cose zdzdrd® x² +y² 1-y² x² +y² is

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Q: If f = xi+ yj+ zk,1Fl =r,and n =, then show that grad (E) == %3D

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Q: iP fca)ex+s and gixjex?-3- find the folllowiny D Rc fext

A: a)         f(f(x))=f(x+5)           =x+5+5           =x+10

Q: : Scot y dy

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Q: Given that E(X) = 5, E(Y) = 8, E(X2) = 68, E(Y2) = 75 and rx,y = .35, find the followings. j. Find…

A: The correlation coefficient formula between two random variables X and Y is, rx,y = Cov(X,Y)/SxSy,…

Q: Consider the following figure. D F OC = 8 and OE = 4 OE I CD in 00 Given: %3D Find: CD CD =

A: Answer

Q: After substitution is performed, what is equivalent to u14 du 3 0 9 Su u¹4 du ,14 1. 3u¹4 du 0 2 u¹4…

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Q: en Gx) show that GCxx) = to is a t Slution to x y" + Cy')a = c

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Q: 4 Given: ASVT-AWYX with moasuros as shown Find: WY and VT 10

A: Given data: ∆SVT~∆WYX The length of the side SV=7 The length of the side ST=10. The length of the…

Q: For the figures pictured to the right, what relationship must pe true in order to prove ARST = ALNE…

A: Here it is given that ,  ∆RST≅∆LNE by ASA

Q: Find d cos Z dz

A: Use the properties of differentiation and the derivative formula ddxeax=aeax, to calculate ddzcosz,…

Q: E Given: AC= BD D AE = DF ZA = ZD A Prove: ACAE= ABDF F

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Q: Using the computed MGFS, derive the E[X] and V[X] 1. Bernoulli Mx(t) = e0t(1 – p) + eltp = e'p +1- p…

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Q: In kite JKLM, JMN 25°, and ZLKN = 43°. J M K

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Q: Given that z and w are independent variable and dependent variablerespectively, obtain dz/dw a)…

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Q: Compute the given fac re dx %3D

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Q: Use the composite trapezoidal rule to compute Jo e dx correct to 3 significant gures, taking 5…

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Q: Evaluate S eas cos?(y s) ds. V2

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Q: 6. Write.a.Ct).in. the farm..aaT.T+ a. N. a..r(t).=(tcost). .+ (tsint.) j.+t ..to.

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Q: AE and DE intersect at E. 2. Given: A AE BE DE CE %3D Prove: D

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Q: The sutiable substitution for evaluting | csc " (x)cot°(x)dx is (a) u = tanx (b)u = cotx (c) u =…

A: The given trigonometric equation is: ∫csc7(x) cot5(x) dx

Q: If r (t) = (cos(t), sin(t), 2) , then ſr (t) dt =

A: r(t)=< cos(t), sin(t) ,2>

Q: In the case when U = x on the edge y = a (where Yo is a constant), a calculate C, inorder to show…

A: Given at y=a, U=ψ0ax     …Equation(1). And, on substitution of y=a in expression…

Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

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Q: DG DH Given: DE ZDGH = LE DF Prove:

A: Consider the figure with given: DGDE=DHHF. Prove: ∠DGH≅∠E Consider △DEF. Apply theorem- If a line…

Q: A. B● A B D E g с D

A: Check among the given graph, which is the Eulerian. Degree: Number of edges incident with a vertex…

Q: Given w= (x+ y+z) , x=r-s, y=cos(r +s) , and z = sin(r +s) , %3|

A: Given  w=x+y+z2x=r−sy=cos(r+s)z=sin(r+s)

Q: R Given: RO = SE, RO || SE Prove: ZR LE E

A: First, we will show two triangles congruent .

Q: Given: TI || HR Prove: AGHR ~AGTI H R

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Q: Given z = arctan (), Find az/ay

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Q: 10. Given: YT = YP, LC = LR, Proof ZT= LP Prove: CT = RP R

A: Consider

Q: 3. Write the following formulae in Prenex Normal Form: (3rP(1) Vy(Q(y, 2) Vu P(u)).

A: (∃x)(¬P(x)∨(∀y)(∀z¬Q(y,z)∨∀uP(u))))   (removed implication)(∃x)(∀y)(∀z)(∀u)(¬P(x)∨(¬Q(y,z)∨P(u)))…

Q: Consider the figure below, in which OC = OP = OB = 1, OA = x, and AP = y. 1 A. B Which of the…

A: Given that a diagram which is OC=OP =OB=1 and OA=x and AP=y . Then find that what relationship of…

Q: Given: ZR= ZZ C R CA= YA Prove: ACRA =AYZA Y

A: Use the congruent postulate and prove that both triangles are congruent.

Q: Given: E is the midpoint of DF Prove: DE = (DF)

A: Given, E is the midpoint of DF