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Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

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

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Q: P is of degree 2; P(0)=4; zeros -1, 4?

A: Write the standard form of polynomial with the help of zeros.

Q: 3) x 5sin 1, y = 4cos t

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: The solution of the IvP Elb+2)jl&+2)y=t", yL3)=o exists in the interval O 6, 00). noncof the giren…

A: given differential equation is t(t+2)y'+(t+2)y=t2,y(-3)=0

Q: 11. If AJKL - AMKN, find the value of x. 12 N 20 x+1 Зх - 2 J

A: It is known that in a pair of similar triangles, the corresponding sides are proportional. It is…

Q: 1 Using Convolution theorem, find (i) L (s+a)(s+b),

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Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

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Q: of Voots of the equation. 2x+3X+5=0 is The muttiple is Ę 2. 3 Prove That The sum

A: Use the formula for the sum and product of the roots of a quadratic equation.

Q: 2. TER-1 to be, Hn E IN 1+r+4---+ 1-r Shoh that

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: b? – a? x dx 9. - Proof Prove that 2 a

A: This can be proved using Fundamental theorem of calculus. The second part of the theorem is used.…

Q: Prove that Ek=0 C) 7n-k . 2k = 32n %3D

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Q: Jósec? 30/3+2 tan 30d0 8.

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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

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Q: 4. Prove that 3i² + i = n(n+ 1)?

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Q: 0/ the Valke of & that makes the Velteof the fumetion 2.

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Q: 2. Find p and q such that |5x - 2| ≤4 implies Ps 23x-4 5 ≤q.

A: Given |5x-2|≤4

Q: 2, 5x .3 b) Y = In 60(х, + + X, 2. 3.

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Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

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Q: Simplify. 4n + 3(n - 5) + 2 n + 6 13-ח 7n- 13 7n+ 6 Done Ysheed in any manner wmour epress enen…

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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: 2, z) = 5 and the surfac e at (1,2,3). Evaluate = reasons).

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Q: S Prove that L(cos 3t) (s²+9)

A: Given L(cos3t)

Q: et, a1 = 3, a2 = 4 and for n > 3,an = 2an-1 + an-2 +n², express an in terms of n. %3D

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Q: (6) If u, =*-!P«(x)Pn -1(x) dx, show that nu, + (n – 1)n-1 = 2, %3D and hence evaluate u„.

A: Given un=∫-11x-1PnxPn-1xdx

Q: If A= B = verify that A(B + C) = AB+ AC. :) 1 If A = 2 and B show that (AB)" =B'AT 4 -1

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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: Find all the values of x in the interval [0,2pi], that satisfy the question.  10cos(x)+5sin(2x)=0

A: Given equation is Solve the given equation for x

Q: af 10x +11ly and = 11x. Which of the following is the best definition of (x,)) = If %3D Əx

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Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: 6. so be it r = 3xi + yi – 2zk and f (r) : -- where |r| = r find all of grad(f) and div (-)

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Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: •1-i Evaluate 4z dz . J3i

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Q: Q(x) = √3/2+² Ser fet de Prove that & QQ (-∞ ) = 1

A: Here we can use Gamma function formula Γn = ∫0∞ xn-1 e-x dx to evaluate the given improper integral.…

Q: リ この Shmo that e す。 are soluting of I

A: Note: Here, we will consider the differential equation y'''-6y''+11y'-6y=0....(1) instead of…

Q: 2/Given frx)= 3Xtl a evaluate (flof(s) 1-SUEJECT NOTEBOOR 9. fo

A: Topic:-  function

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

A: Find the attachment

Q: 3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

A: An arithmetic progression is a sequence of numbers such that the difference d between each…

Q: 4 and for n > 3, an 2an-1 + an-2 + 5n, express an in terms of n %3D 2. Let, a1 = 3, a2

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Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

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Q: ). Show that Vーu リーl < tan vーtan if 0<u<v, u< 2 1+v 1+u 3 < tan 4 T く and deduce that 4 25 3 46

A: Let fx=tan-1x then for u&lt;x&lt;v, so the derivative of the function fx is  f'x=11+x2. We have to…

Q: Find T, N, B, K and t for r(t) = ti +÷e2'j when t = In 2. 2

A: answer is in next step

Q: By 2 Cas X the Same. way prove that

A: Prove that J-12x=2πx cosx

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: 3 (a) Given that T= 2n12g , express I in terms of T, g and n. %3D

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Q: Find a number 8 such that if |x – 2| < 8, then |4x – 8| < ɛ, 11) where ɛ %3D 0.01.

A: Ffind the delta

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.