5. Given z = 3 – i, find the i. Modulus ii. Argument Hence, express z in trigonometric and exponential form.

Q: 4. Consider the following figure and proof. E R T Given: GA || TE Prove: AGRA~ATRE

A: Given: GRA and TRE are triangles. GA∥TE The objective is to prove ∆GRA~∆TRE

Q: ds 4. Evaluate s = In cot 20 in terms of de

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Q: 4. Consider the following figure and proof. R Given: GA || TE Prove: AGRA~ATRE

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Q: Solve the quations. ese are di abse 0llowin after homogeneous e

A: The given differential equation is  ydx+xlnx-lny-1dy=0; y(1)=e

Q: 00 is inscribed in AABC АВ 3D 9, ВС %3D 13, АС AD, BE, FC Given: = 10 F Find: A E D B

A: Given, AB=9 BC=13 AC=10

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: =[12] and U- = -[] Then A2017U is equal to -1 Let A =

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Q: Solve the following differenital equehims -1 2(-0 +g(t)), with (to) = e, ? dt

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Q: b) Prove Y)- min (t, Ye, Kg) is a UMVUE of o non

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Q: 2.1. Nhal 14. w far illu golf ball Arom the cuup at the canter? 3. Find the value of x. AB e AD au…

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Q: Let W = E R? : ry > 0

A: In this question, we have given set of vectors, we prove  (a) W is closed under multiplication but…

Q: For which values of a does x + a = 0 have a solu­tion in Z5?

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Q: If a chemical bond vibrates at a frequency w, the average energy of the bond turns out to be equal…

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Q: 5. Use Taylor's theorem to write down an explicit formula for R, (1). Conclude that R, (1) + 0, and…

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Q: 9) Given: AD is a tangent; m ABC - 300: m AB = 170 Find: mD

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Q: 7. Solve the following first-order linear DE's. y' + (cotx)y = xcscx, ) = 1

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: 12 Deter mine the hunchon fbc) 13 conhintdeus at loe Birked 1S Pes) Conhinaus at oc =0?

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Q: Find (1+i)10 using DeMoivre's Theorem

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Q: In ARST, s = 620 cm, r = 210 cm and ZR=17°. Find all possible values of ZS, to the nearest 1oth of a…

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Q: 2. Estimate the value of V22. + • V22 is between and but closer to Decimal estimate: 22-

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Q: 4. Given AGCH use the diagram below to prove ZA 2c. G A.

A: In△ABH and △CBGBH=BG             (given)BG=BH         (1)AG=CH        (2)add (1) and…

Q: s defined by + x). The value o ind off to 1 decimal

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Q: For what value(s) of tt does the equality ⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩ hold…

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Q: By using Residue fined S 2+3 sin z(z-1)² dz, C:|2|=2? (6 €13) (4

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Q: 11. Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

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Q: Suppose that P(A | B) = 0.71, P(A|B') = 0.82, and P(B) = 0.23. Determine P(BIA). Round your answer…

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Q: Consider the following figure and proof. Given: RM || SN, RM 1 MS, SN 1 NT, Prove: ARSM-ASTN

A: Given: RM∥SNRM⊥MSSN⊥NT The objective is to prove

Q: So" (8 + 4 co entage error in nu n the Trapezoida

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Q: calculate SN given by Simpson’s Rule for the value of N indicated.

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Q: show that the Pio Diophant ine equation 2x -5y= | has no integer Selutions .

A: Given, 2x²=1+5y² Here 5y2 is a multiple of 5 ending in digit 5 or 0. 2x2 can end in 1 or 6 But no…

Q: You hare shown that e jul dw or , erchenying w and t Jlw) = Use a chume of veriables to genenle…

A: Consider the given information: δ(t)=12π∫-ωωejωtdω                  ..(1) δ(ω)=12π∫-ωωejωtdt…

Q: 30 Let A, B E M, and suppose that A² = 0 = B². Show that A and B are unitarily similar if and only…

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Q: Use Shapiro-Wilks and a = 0.05 for the test and show all parts. * %3D Но: (а) На: (b) F and PValue…

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Q: find following timia the exist Pim 1t y ス→。 fim (2'tyo) In (xty?) ()

A: For a function f(x) the expression limx→af(x)=b means that the function tends to value b when domain…

Q: 1. Given A= For which value(s) of a and b will A be singular?

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

Q: 3. ncnt) use PMI to prove that E

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Q: 8) So for x and y. Bound to the nearcast tenth. 12 メニ 50

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Q: R Find & USing Exler's metho d then fmprove di uSing the tmfrave Eelers formula for thefritiat Valué…

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Q: Q. By e/2silon definition, check the con vergenie of Suquenies 2n+ フ the following く Sn> = ( =…

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Q: Given: Figure Z4 is supplementary to 22 as shown Prove: 2 LO 4.

A: Given: To prove: ∠4 is supplementary to ∠2.

Q: 3 Prove Prive that d tin'u e I du

A: As we now the identity tan2(x) +1=sec2(x)

Q: 1 And the radios of Co for the pover Serie for the Power Serie vergence 00 xh (2"+1) (n?+1)

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Q: Sino = 3. To 0= 19.47 /-

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Q: Co

A: Given that: The Taylor series for f(x) = ln (x) at c = 3 is ∑k =0∞ ck ( x - 3)k .

Q: 1. use the vesidue theorem to Verify で。 TT dn (44以+5)2

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Q: ne th

A: Based on the image below, determine the length of BC and the theorem that supports it:

Q: Ex 6 Show that X -Ca,i) is HOM with y- (1,00) if X and y have the euraal Seibsipace op. af R Hint:…

A: Homeomorphism: Two topological spaces and are said to be homeomorphic if there exists a function…

Q: For what value of k, if any, is kre 2z dr = 1?

A: NOTE: Refresh your page if you can't see any equations. . use the integration by parts use the…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.