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A: f(x)=4x3+6x2-6x-4f'(x)=12x2+12x-6f'(x)=012x2+12x-6=02x2+2x-1=0 x=-2±4-4(2)(-1)2x=-1±32     (critical…

Q: by computing that the given funetions inde pendent on Show the are linearly indieated intorvale…

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Q: Q4/Find Loplace transtorm of £(4)= et by using} defining fanotion ر م ) ) st e" dt

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Q: A B What other information is needed to prove AABCY ACDA by the HL Theorem?

A: Given : ∆ABC≅∆CDA

Q: 15: Using first principles (by definition), prove thát thể đêrivätive of ä constant is U

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Q: Write Taylor Polynonial at, x = &f degree 4 estinating 6)= ex and ex %D or 1o,2]- Graph Py (x) @…

A: The Taylor polynomial of a function f(x) at a point a is given by .

Q: the 64 enclosed of the 'reyion cunves Find Aren Y= xZ-2X +6X

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Q: Which of the ing moion can be nduced to be asepehle gation y--1da + de = 0 Oa Ony Oh Orly Cc Orly…

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Q: Find the reductión Bormula Bor d x In (a+bshmx)"

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Q: Compute 4n — бп? lim Vlan| for a,n %3D 3n2 +7 n-00

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Q: sent that by a positiv ntity N(0) is 2.

A: Given as, dNdt=?N0=?

Q: 94) Show that F= ;². ?' is Consenvatwe and gind potintial - the sealar

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Q: he have do find out the probabiuty that the Sleted Coin was tuo -headed Coin given that it shows…

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Q: 3V Show that there dã do not exist two real numnbers which add to 7 and multiply to 13. It is not…

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Q: Use Greea's Theorem ond Compute the Counter clock wise cir culotivn of É around the closed urve C .…

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Q: Find the length of Kl. K %3 %3D

A: Given,

Q: Conotrut a onatn'x whode Columu 8pure (leli2) & whole cli5) 10 is spanned by now &pale in Bpanned by

A: Column space is spanned by 3-dimensional vector. Row space is spanned by 2-dimensional vector.…

Q: ) Let z be a c complese number then cos ( 58+2) is bounded in C2

A: Since, sinz and cosz are unbounded on C. These are unbounded along horizontal axis .

Q: Consider a dihedral groop Dy=<agb: asb= (abj=1 Ds cuss all Dy and verify Subgooups of "Dy=…

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Q: x is the distance 1:- Show that the from morm Il x|l o7 2 to

A: We have to show that x of x is the distance from x to 0 Hence, x can e written as x−0 x=x−0 The…

Q: Show that the intervals S [1,3] and T =[2,8] are equinumerous by finding a. bijection between them.

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Q: ☺ show dhat 2) G(x,x) => Uola) Uorlo) were G is green funcfion

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Q: Ex: @ write out the expessien R(n=4) jki in full. wuich aue free and which ane dummy indices ?…

A: We write expression of curvature Tensor

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: ) Prove that sac"()/T sec

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Q: Find te Turer saies onsion of the periodie fun cdon when definition of on eried are -2<tく - 5) 6くt…

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Q: 9:Find the absolute exlemum Verlues of flx) x²-4x+24 over the interNal Cl,41

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Q: Consider (Ru) .f : R->R -3 X3o 3. X70 Prove Pex) is Con tinuos onR-301

A: Given that                                      f:R→Rf(x)=-3; x≤03    ; x&gt;0 we have to prove that…

Q: Solve the Laploce equatrons for the ondi tions flx) funciong given boundery and b elow Con dibion…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 6. Given: VT bisects LSTU. ZU LS Prove: ASTV AUTV Proof: Statement

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Q: 4. Show that the intervals S =[1,3] and T =[2,8] are equinumerous by finding a bijection between…

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Q: Let 54 where Xey EA a Prove That RB equivalonce ceblion on Al Determine ll Idis tinct equi valance…

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Q: cos (o,+ O>)+ ì s:in (8,+Ə.)) Prove this kW- Mon 183O

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Q: If the mth term of an AP be 1/n .And nth term be 1/m.then show that it's (mn)th term is 1

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Q: In ALMN, LN is extended through point N to point 0, mZMNO = (5x – 13)°- mZNLM = (x – 4)°, and m/LMN…

A: Solution-

Q: Use Taylor senes to wrik Hhe at 2 For a machine Fad

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

Q: Suppose you Know that tand 3/12. Vsing this infe, de tevmine cuhot quadiantdis in dnd Caliulate…

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Q: Theorem 5 there is auniqe Reul for X=2 Sit X ER

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Q: 9 Find the lies which degion bounded and area in in first eyuadrant 12-axis by Jine V= n=770 Give…

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Q: About proportionsIf a/b = c/d and r/s = m/n , form a single proportion involving the eight…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: AB is tangent te OC at point A. mod

A: Given : AB is tangent to the circle at the point A. ∠ABC = 37°

Q: The diagonals of square LMNP intersect at K . Given that LK=1, find KN . 1 K KN =

A: For the following given question  Given,  LMNP is a square  and LK=1 then,

Q: Then show that N(A) = R(AT)+ and N(AT) = R(A)+. %3D 11-1 02-3 -1 1-2 N(A) = N(AT) =

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Q: what expressi on is equivaient to this. (n-a)!

A: n!(n-2)!+n=n×(n-1)×(n-2)!(n-2)!+n  [we use the idea of factorial]=n(n-1)+n=n2-n+n  [distribute n]=n2

Q: Let flx)= a cose + 3 Sinse with (o,f to)), (,2) and (T, 2 ). Use Muller's method to find a quachatic…

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Q: 3 tari' (xty) , Prane that x2+ ydz Sen 2z be

A: We have z=tan-1x+yx-y This implies tanz=x+yx-y Let u=tanz Then we first need to find the degree of…

Q: r = √3 − 2cos θ.

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Q: Suppose that fo sf,:X-gy and g,-3 YoZ Prove that (Hint : First use ce) to show that gfe g,, and then…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.