Give 5 examples of Postulate and Theorem using own words, based on rea-life experiences. Do this in ½ sheet of paper

Q: 2 ·Prove that at (xp ₁ %) the point of intersection of three confocals 2 ہے and he osculating plane…

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Q: Part II Write the first five B={ IneN3 then prove sup(B) = l Part III Proue that Pj ajta and b,sb →…

A: a) Supremum of set: Let  S be any subset of real numbers. Smallest upper bound among all upper…

Q: E F А G

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Q: Give solved exampless off eliment and metric tnsor

A: Given: Example of  element and metric tensor.

Q: © of power Use. the dufferentiabily selies to Find the sam 13 2n+1 fu) 2n+1 within its se radus of…

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Q: -2/A person who was listening to a siren reported that the frequency of the sound changed with time,…

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Q: Question 21 Show that for all positive numbers x,y and z, we always have (***)' + (***)' + (*++)'…

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Q: 2) FIND THE INTERVAL OF CONV. * (x-1)^" 2 (n+i) n=0

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Q: 5) [9*dx

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Q: Derive the distance formula in R^3 from the Pythagorean Theorem.

A: Through the points P and Q, we draw planes parallel to the rectangular coordinate plane such that…

Q: Bolve * LOB3X + 3inxt é Ars: 1 = De B o83X -3_8in2 18 3x m , 18

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Q: Criven three points in R? x,=[-l,',2], [-1, !,2]", X, =-1,1,2]" and 1g=(-!,T,2]". Pind the %3D %3D…

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Q: Question 13 What is the truth value of the compound proposition if p and q are true statements and r…

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is…

Q: State Fermat’s Theorem

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Q: sechx+cshx b) prove that e2x cshx-sechx

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Q: e (V2) re (2) = 1 réc2) = 3 then ofa (4)- 21441

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Q: use Parsevol's theoverm to find u if fit)-Ae'

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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: Sketch ler=qcose

A: The given curve is  1-r2=9cos(θ)

Q: Qend Jamain of functon

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Q: Derive the foYonala cash" X-In(X+x )

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Q: Prove tuat fsecodo-On/sece + tanco

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Q: oU solve the diffreree y" + 8x, S(n)

A: The symbolic form for the given difference equation will be E2-6E+8Xn=δn Its characteristic equation…

Q: The Position of by Patticle defined (4Sın TI ti+4costj + 6tK) Determine To magmtude of velouty and…

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Q: To prove L'Hopital's Rule for the case, you use what Theorem and what statement is a direct result…

A: For ∞∞ case, we can use the l'Hospital rule by taking the derivatives of numerator and denominator…

Q: As PQR in sicle Circl 2²4²25 Such that & & Rone (3,4) &(-4,3) fmd <Q PR?

A: Given that PQR is a triangle, which is inside the circle  such that P and Q are (-4,3) and (3,4)…

Q: 4x-3=8 identifying terms of 'x)' c) Vanable d) operotor a) coefficient b) constan

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Q: Discuss about hairy ball theorem in comprehensible way.

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Q: Prove S^2 is simply connected.

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

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Q: iv. Make a conjecture about matrices and their characteristic polynomials based on the computations…

A: Let us consider a 2×2 matrix A defined by A=ab0d                      (i) The characteristic…

Q: The possible values of Re (i ^1/2) + | Im (i^1/2) | a) −1,1 b) 0, 2 c) 0,1 d) 1, 2

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Q: let n be a positive integer not exceeding 20. How many values of n such that the equation x^2 +…

A: We have to find the values of n for which x^2+y^3n+1=1.