Which of the following is correct? Ο ΣΗ (α + b) a +ΣA in bị vi=1 Ο Σ(α +b) = na + ΣΗ uv = na + 2I bị Ο Π O 11E, a = na Ο II,(b:/a) : II, b; а

Q: Given 21 = Z3 Prove jk 13 2.

A: Given,  ∠1≅∠3 To prove  j∥k

Q: 6. In AABC, ZB = 90° and BD I AC prove that BD' = AD.DC

A:

Q: vdor (2,1,3) be the {1,)1), (1, 2, >).(O, 1, 0)1 be the {ll,),l), (1, 2,3).CO,1, 0)) linear…

A:

Q: Assume that u - v = 2, ||u|| = 8, and ||v|| = 3. Calculate the value of (9u + v) · (u – 8v). %3D…

A: we multiply the given equation and then put the value of given data. u=8 v=3 u.v =2 note- According…

Q: Prove that Eo 2i = 2n+1 – 1 - i3D0

A:

Q: 17. Given a = 4 – 4i and az = 4 + 3i, express %3D :11 in the form a + bi. a, az CLONE Dec 19

A:

Q: the basis of P2 cons tive to B.

A: Introduction: For some n, consider V to be a subspace of Rn. A basis for V is a collection of…

Q: 6. Show that the sets S = (1,5) and T = (0, 00) are equinumerous by finding a bijection from S to T.…

A:

Q: Assume that p(A1) = 0.3, %3D p(A2) = 0.7, p(BIA1) = 0.84 and p(B/A2) = 0.76. Find p(B) %3D

A: Given Information: P(A1) = 0.3 P(A2) = 0.7 P(B|A1) = 0.84 P(B|A2) = 0.76 To find P(B) : Required…

Q: Suppose the conjugate z is equal to the reciprocal 1/ z. What are all possible z's?

A:

Q: 32. In APQR, mZP = 53°, PQ = 16, and QR = 10. Find m2Q. %3D %3D %3D 32. In AJKL, mZL = 113°, JK =…

A: 32. Here, we have given the length of two sides and measure of one angle of △PQR. So we will use the…

Q: Use De moivres theorem to determine (3-4))"C4cis 30° )ieave your answer in 10 CiS the Formof Fciso

A: According to the given information it is required to determine the value of

Q: is a conplex saries of nunbers and for VNEN monert an, bn ER Let 2n- an +ibn. Show that if Ź 2n =…

A: Given:  ∑n=1∞zn is a complex series of numbers and  ∀n∈ℕ, an , bn∈ℝ Let zn= an+i bn To show that :…

Q: 6.13 Show that t: = B,/[s//E=, (x;- %3D VI- r in (6.20). |

A:

Q: 8. Chords AC and DE intersect at Point R in OQ. If AR = 6, RC = 7, and DR = 3, what is RE? %3D %3D

A:

Q: V218 in 7 in 13 in No, the relationship of the sides DOES NOT follow Pythagorean Theorem No, the…

A: Using Pythagorean theorem,

Q: luhich of the following is not a sulispore ah 'R 3 uEetors of the form of a to a Ca,-a, b b Ca, b,…

A: Subspace of the vector space

Q: (- For all asb,C EZ,prove the folloNing (i)ala,1la, andal0; (ii)0la if and only if a=0; (iit)alb ond…

A:

Q: 3. Suppose AB=RS and mzB = mzS. What other information is needed to prove that AABC = ARST by SAS?…

A:

Q: find the length of the SPIYAIV-e'sVom 0=0 to 0=V5

A:

Q: GIVEN: BD 1 AC, AF 1 BC, FC = DC. PROVE: AAFC = ABDC. GIVEN: AD = BF, BAD =KABF. PROVE: ABAD = AABF.

A:

Q: Complete a two-column proof. Given: ZRSU VST Prove: ZRSV LUST

A:

Q: 1. If PR = 25, QR = 6 and NR = 10, find MR. %3D %3D 2. If MR = 12, NR = 9 and PR =3 QR, find PR. %3D

A:

Q: Prove that, IXI<a Rf and If -aL X Z a

A:

Q: 6. Show that (1) Cou(B1, g) = 0 (2) Cov(3o, B1) %3D

A:

Q: *10. Suppose AB = CD, AB 1 BC, and CD I BC. (a) Why must AC BD? (What congruence criterion…

A:

Q: Prove that CP PS AM BN 9. MQ NR

A: Consider the equation

Q: Complete the two-column proof. Given: ZB = ZR, ZBPC = ZRCP Prove: ABPC =ARCP R Statements Reasons I

A: Answer and explanation is given below...

Q: 1. Do not use a theorem to find the ff. Z if yz? + z = 5xy – 1. %3D

A: In the multivariable function, if we have to find the partial derivative of one variable with…

Q: 2. Given: XW = XY, HA I WY, KB 1 WY Prove: AHWA~AKYB. W.

A: Given that XW¯=XY¯ in ∆XWY. So, ∠XWY≅∠XYWor, ∠HWA≅∠KYBGiven that HA¯⊥WY¯, KB¯⊥WY¯So, ∠HAW≅∠KBY=90°

Q: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

A: Complex number and it's modulus

Q: Solve the following IBVP: Ut = Urr, 0 0, u(0, t) = 1, u(1, t) = t, t > 0, u(x, 0) = 1 + sin(x) - x,…

A: Given:  ut = uxx, 0 &lt; x &lt; 1, t &gt; 0,  u(0, t) = 1, u(1, t) = t, t &gt; 0,  u(x, 0) = 1 +…

Q: Given: AC BD and ZC AB ZDBA. Prove: AABC ABAD.

A:

Q: prove for n=l,2,3. e that +2+3+..+h = ncn+l) 2. %3D %3D

A:

Q: w on ƏN and cos (|Du[²))ui + u(|Du|³ + 1) < –(2- :- cos (|Dw[?))wii+ w(|Dw|3 + 1) i=1 en u < w on…

A: Sol

Q: 7. Trapezoid ABCD has bases AB and CD. If AC and BD intersect at X, then AAXD and ABXC are ?…

A: Given: Trapezoid ABCD with bases AB¯ and CD¯ and  AC¯ and BD¯ intersects at X. To determine: ∆AXD…

Q: Given: AB = AC, RB = RC %3D Prove: SB = SC %3D B A- R

A: Given÷ AB=AC,RB=RC PROVE÷ SB=SC

Q: True or False   Consider the following model, Yi = β0 + β1Xi + ui,E[ui|Xi] = 0,i = 1,...,n…

A: Solution: As per the guidelines first three parts should be answered.

Q: State the third congruence that is needed to prove that ADEF = AQRT using the ASA Congruence…

A: To state the third congruence condition that is needed to prove that ∆DEF≅∆QRT by using ASA…

Q: If both z + w and zw are real, how to prove that either z = w (conjugate) or Im(z) = Im(w) = 0?

A:

Q: Question 2: Show that the set S = {rVT + V2:rE Q) is dense in IR. Explain and show your work.

A:

Q: By using Caushy Rieman prove that (2) and (3) (2) 4ca) = e (3) .w prove Thot()-

A: (a)

Q: . Prove that, e²i = e²1=22. ez2

A: Let,z1=x1+iy1z2=x2+iy2z1-z2=x1+iy1-x2+iy2=x1+iy1-x2-iy2z1-z2=x1-x2+iy1-y2…

Q: Find w a + bi = Jz, where a and b are real numbers. VE %3D 24+10i

A: It is given that w=z, where z=24+10i. Let w=a+ib where a and b are real numbers. w=z Substitute…

Q: Chaim tried to prove that AJKLE ALMN. K 27 27 J Statement Reason 1 JK = LM = 3 Given JL = LN = 5…

A: Given

Q: Suppose that B is a point between A and C. Prove that AB−→ =AC−→

A: B is a point on AC. Let, A=(x1,y1) and C=(x3,y3)Then direction vector of AC=(x3 - x1, y3-y1)

Q: Determine the roots the following polynomíal 25 – 24 + 723 – 7x² + 12z – 12 if one of the roots is…

A:

Q: if :z = cos 0+isin 0 2z² z²+1 prove that: 1+itan 0

A: