5) why is x3- 3x +I X +2 Conti nuous (0,00) on where is it discontinuous?

Q: is intea rable Primitive aR 2 > X 3 1 2. 1 ラメラ 。 (今さ うx 31 ラ× %3D >入う。

A: we have Fx=0            0≤x<12x-1    1≤x≤2and fx=1     0≤x≤12    1≤x≤2 i The primitive of a…

Q: Nadia would like to use the AAS Congruence Postulate to prove that ATIS = AITH. Would knowing that…

A: Given, ∠S≅∠H Also given, From the figure we get, ST≅IS

Q: Discuss the Singulazities and Poles of fiz) = zéSinz (z-2) (zこいこょうと+ら)(2t (こか) +4

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Q: rivial of

A: To find the non trivial of Z8 as,

Q: 4/ur grans funthon y"-Uy't3y = et

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Q: 2) Sove the integraul of funetior7 x* by smpsofts rule wher ne 6 and (1,3).

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

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Q: Hiw- prove that %3D

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Q: cosulen Dhe probubily densty functren OTherwise which randen werclde Xfellews Find pobebility Tht

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Q: 1. Use the Intermediate Value Theorem to prove that the equation 3x - 4x? = 3 is solvable on the…

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Q: we divesgencatheosem to evaluate + XzK. dA cohose sisthe boundasy of cube definedd by

A: By divergence theorem we convert the given surface integral to the volume integral, and the region…

Q: 2) Prove that the foll owing func tion is not differen tiable at (0,0). 2. 2. f(x.y) = (X.y) = (0,0)…

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Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2

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Q: b)Show that, 6(z, 3zy – y' and (z,y) = -+3ry are harmonie

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Q: 8. Express as a polynomilal. Arrange your answer from term with highest degree to lowers degree *…

A: SINCE YOU HAVE ASK MULTIPLE  QUESTION IN SINGLE REQUEST. SO WE WILL BE ANSWERING ONLY FIRST…

Q: 1 Evaluate using Convolution theorem : L

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

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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: 1 Using Convolution theorem, find L' ,2 |(s² +a²)?

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Q: Find дхду of z = In(x² – y) %3D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 1. Show that cosh 4x = 8cosh“x - 8cosh? x + 1 .

A: Given problem:- Show that cosh(4x) = 8cosh4x - 8cosh2x + 1

Q: Use Simpsons 1/3 rule to evaluate of e-x2 over the interval 0.2 to 1.5 using 6 segments ?

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Q: Prove that Lim + Tene + …+: 1 %3D ... 2n²+1 V2n²+2 2n²+n.

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Q: B) Show that coth-x = In ()

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Q: Hew.b prove that CAXB)-Ais atways-Zero

A: Topic:- vector  algebra

Q: 12) Show that D- d-del is shortest distance betueen a x- by +c2.of ; and ax+by tcz= dz?

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

A: Demoivre's Theorem

Q: Verify Eular,s theorem for z =ax2+2hxy+by2

A:

Q: What are the points in an elliptic curve y2=x3+ 12345 x + 23456 (mod 23459) at x=1? Use one of those…

A: As per the question we are given the following modular elliptic curve : y2 = x3 + 12345x + 23456…

Q: Find the deriratire of y tanx usim the Difinition Rule

A: Given that:y=tanxTo find its derivative.

Q: Is there a km. lenRit 3 Why 3 kM. X4-2x If there is a konft prove 9t by using the (E-8) defnti9on of…

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Q: prove that esch'x - In (* + x2 %3D

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Q: IRI- 2. <| sinz|< -e 2

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Q: 12) Show that D- ldi-dal between is shortest distance a x+ by + e2 of i ancd ax +by +Cz = dz?

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Q: 17. Use Theorem 4.7 to prove that Vx + 3 2 V3 + x/4 for

A: Let,

Q: it is unbaised estimated of a Then Show That ta is baised estimated of 02. Theorem:- if

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Q: -3 [-1+v3i]

A: Explanation of the answer is as follows

Q: Solve the BVP on interval Lo, nJ) 2 %3D 2.

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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: "(2) is also analytic, and hence its

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Q: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: 6. Use the IVT to prove that x2+ In r = has a solution. %3D

A: The Intermediate value theorem says: If the continuous function attains two values then it must…

Q: The term r ryis homogenous of degree two. -

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Q: Select all the Points through which a unique solution for the DE ,2 y? IS nySot eed by the Existence…

A: Given differential equation is y'=13-x2-y2

Q: If C, Cz - Cn are Constovts 2111 . u,), uzX2) ---- Un (X)ave Livffen antiable 4111 funetions at x…

A: Introduction: Differentiation is a property of a real-valued function. When the independent variable…

Q: Prove that le-2z| 0.

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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: Prove that 1- cosh -1 x= In(x+ Vx- -1 1 x+1 2- coth -In x-1 X = - Vi+x? .2 1 3- csch -1 x = In(-+

A: