5) -5+ csc 0 = V3 - 5 + 2csc 0 %3D 2n A) 3 3 B) { 6 6 4π 5π C) { 3 3 2л 5л D) { 3 6.

Q: 2. In parallelogram ABCD, the diagonals AC and BD meet at O. If AO = 3x – 1, OC = x +7 and OB = 2x +…

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Q: Use De Moivre's theorem to find the following: 4 i. [1+ v3i]" -3 ii. [-1+ v3 i]

A: Given that: i. [1+3i]4 ii. [-1+3i]-3

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A: Given the system of equation is AX=0 where

Q: 2. Solve the following Cauchy problem: Uu = Uzz -0 0, u(x,0) = x – a², u(x,0) = 4x, -00 <x < 0. %3D

A:

Q: ) Given : Quad rilateral RSTV with diagonals RT and su intersecting at w Prove : mLT+mLa= m23 tm<4

A: In the quadrilateral,                  ∠VWR=∠TWS.

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Q: 9- find CAiblegonal Ciudes I21=1 and 12-11=4 all the Cisedes to the

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Q: Let a=3i-2j, b=-i+4j, r=7i-8j. If r=ka+mb, then k+m=... 1. O -1 2. O 2 3. О 1 4. O 3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: (ii) AU(BnC)= (CUB)NĀ. %3D

A: Introduction :

Q: Show that ri =1+i, r2 = 1-i is a solution of (3+ i)x + (1+ i)x2 = 4 +4i %3D

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Q: 7.A= pVa +qVE +rVc ,B = Va Va-b b. If A=0 prove that, ap + bq + cr' = 3apqr where a be c. If a? = b'…

A: Given that  A=pa3+qb3+rc3 and  B=ab32+ba23 Solution a:…

Q: 2)Give of a homogeneous syatem of equatians with 2 equations and 2 unknoan's. 3), Why is cury…

A: 2) Take the system of homogeneous equations            x+y=0          x+2y=0

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: b) By using De Moivre theorem, calculate in the form of a + bi: 4. i) (VZ – iv2)* | ii) (1– i)6

A: Given (2-i2)4 &amp;   (1-i)6

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Q: %3D Bi'

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

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Q: (b) Compute r if: arctan r + arctan 1 = 2 ( arctan z arctan

A: tan-1x+tan-11=2tan-1x-tan-113

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A:

Q: 18, where 1, 2, 5. Consider the solutions are there uation 2i Eg + Tg + Tar uovenba (a) if z1, r2,…

A:

Q: Question 4: If a = -(~p v ~r) and KB = (p v q)^(~q vr), prove by the analysis method (proof based on…

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Q: 2. Prove this using indirect proof in two-column form. Given: MP 1 NO M Prove: ZNPM is not a…

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Q: Find the residues of each of the fellowing functièns at its. poles. e •f(z)- 22+3 4. ans : ri=7/4 ?…

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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

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

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Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: If the point (p, q) , (m, n) and(p-m, q-n) are collinear show that pn = qm

A:

Q: 8. BU -42, BM = 40 and UL = 59. Find MW. Round to the nearest tenth. %3D %3D U M

A:

Q: 731 5. In para 4. In parallelogram RSTU with diagonals RT and SU interesecting at M, if RM = 4x+3…

A: Use the fact that M is middle point of TR

Q: 7) If A = xz³i – 2x²yzj + 2yz*k, find VxA at the point (1,-1,1).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4. 3. B. drawn. Prove by congruent right triangles that BB' = AO and AQ = CC'. What conclusion can…

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Q: In(z,) + In(-v3 – 1) = In(2) +i %3D

A: Answer

Q: obtain the value of b. regaring e conomethies and the forme 4= bo t bi Xi Y=bot bixitei

A: For the given linear regression line and its estimate: Y = b0 + b1Xi + ei y^ = b0 + b1 Xi We need to…

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: ven: AABC = AYXZ, MZXYZ = 75°, MLACB = 65°, AB = 10 cm and XZ = 12 cm. your complete solution. of…

A: Hello, thanks for your question but according to our policy I am answering the first 3 subparts of…

Q: Given the parallelogram where RD = x + 13 and DT = 3x – 3, solve for x. - S. O 10 O 8 12 O 6

A: Parallelogram has opposite sides equal And their diagonal intersects equally at centre

Q: In AABC, PQ intersects AB and AC at P and Q, respectively. If PQ || BC, BP = 3, QC= 15, and AQ is 5…

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Q: 2. In OABCD, ZA = x, ZB = 2x +60. ZD = Draw a sketch to help you.

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Q: a. Let z1 = 2 – 3i, z2 = 3 + 4i and z3 = 1– V3i. Find z1z2 + z3 then sketch it on Argand diagram.

A: Simplify Z1Z2 + Z3 in simplest form and convert it into polar co-ordinates.

Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. 4 Enter the…

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Q: 1. If OR 1 PQ at S, mZP = 30 and PO = 12cm, find PQ. 2. If OR 1 PQ at S, mLQ = 60 and OQ = 8cm, find…

A: Given: 1. OR⊥PQ ¯ at S, m∠P=30° and PO=12 cm2.  OR⊥PQ¯ at S, m∠Q=60° and OQ=8 cm3.  OR⊥PQ¯ at S,…

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: 19. Express in a + bi form: (5 – 6yi)(4 + 8i) – [(2 – 3yi) – 3(1+ 6i)]

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

A: