O Given Basis tunchiono Xn- X and scalar prodnct

Q: Solve the fallowbag inequality with patrametesm' ual + 20 2/1-m tm 2. 20

A: We are given an inequality: x-mx2+x≥21-mx+m Where m a real parameter We need to solve the  given…

Q: O If fCos,y)=xty-xy%,find Joc-1,y-2. DIf 2=ea>c+ ky oflexx-by), Prove thet baz + ag = 2abz.

A: 1.Given function is fx,y=x3y-xy3. We have to find 1fx+1fy1,2

Q: Let A= 00 b) Say if A is diagonalisable sur Cv H E M3x3(C) such that H-¹AH is diagonal.

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Q: If (0,1) ~ (-1,1) and (-1,1) ~ R. Deduce that (0,1) ~R

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Q: Show that the following gn are harmonic and find its conjugate u=3x^2y+2x^2_y^3_2y^2

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Q: vector function if 3 = 3(+) is defined as vector with a independent variable as "t". Show that 8-3…

A: Given- If S→ = S→t is defined as vector function, with a independent variable as "t". To Show- Show…

Q: Obtain the following Laplace ti 1) L{cos3t + 5e-t} 2) L{e¬3t (2t² – 5t + 1)} 3) L{sin7t – cosh3t} -

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Q: Problem 4. Let a, = 2, a2= 9, and an= 2an-1+ 3an-2, for n > 3. Use mathematical induction to show…

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Q: Is A = (2 ) diagomlizable? 4

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Q: fray)-Incy)+fan\(2) tahagay alma ea 4lih fx +fy=0

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Q: Show that day) = So, x** 0₁ X=Y. defines a metric on X₂

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Q: Se sin9vdv Select one: O a. O b. O c. O d. O e. -7 sin9v +9cos9v 130 7sin9v9cos9v 130 7sin9v +9cos9v…

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Q: Determine all the non-permissible values of the variable. A) 3j/2j-1 - j+10/j^2-j B) 20x^2+14 /…

A: Non-permissible values are those values for which denominator of rational function becomes zero. A)…

Q: a420Provetthat the fortiaof22)+719tz) 5atsaContintontat

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Q: Show that ePt cos qt and ePt sin qt are linearly independent.

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Q: Find the arclength of fox) = Ln/sinx/ on [1, 2] Round the answer to 2 decimals.

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Q: The efuation t 2x-6x = 4-23 in Cartesian Coordinates Coor dinates as the Rrom. Can be Con Vertto the…

A: The relationship between the Cartesian coordinates and the cylindrical coordinates of a point is…

Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

Q: Let x and Column n-Vectoks, wheto ñ> 2. find all eigenValues of tho matha xx-y4 whete dlethotes…

A: The answer is given below

Q: Prove that i 224 s 2xP for xzO, y zo i and 1 t L-l with p>

A: Given that x,y≥0. And 1p+1q=1 with p>1. Consider gx=xpp+1q-x. Then g'x=xp-1-1 and g'x<0 when…

Q: 4. a) Prove that i) V=1 ¡¡) fx+nh = Σk=0 I A I+A 1+A (1) Ak fx.

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Q: 1. Find a parametrization of the line segment L from -2 to -2 + 2i. 2. Find the image of L under the…

A: We will find the equation for L and the image of L under w

Q: z is a complex variable z=x+iy pic attached with question  Evaluate using L’Hospital’s rule

A: To calculate the limit of the given indeterminate form using L'Hosptial rule

Q: Q1 find acubie palonemiat ofk given-points for27,3},(2,12)e

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Q: When multiplying a scalar and a vector: |xa|=A|ā| when A |xa|=|||ā| when X + 0 and ◆ 0.

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Q: If T: R R´is a linear transformation such that 1 -4 T. .T -3 1 0. -3 and T 0 = 0. -2 4 then T 4 -1…

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

Q: Suppose that a parametrization for the solution set to the equation Ax = b is -2 -3 + x2 + x3 8.…

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Q: Compute the orthogonal projection of u onto v. Use the square root symbol '' where needed to give an…

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Q: 14. V-250a°bº А) -5а'b' V2b В) -5а'b* V2b C) –5ab D)_-5a²b³{/2. E) No real root 15. V-81a°b?c® A)…

A: as per our guidelines I am solving only first three parts please resubmit other questions TO find…

Q: SELBCT ALL APPLICARLE CHC sin A) coverges B) diverges G. HI 20

A: We will use Ratio Test to check congervency

Q: Given the bases B = {u,u2} and B'= {u', u'2} for R?, where and u'= The transition mat rix Pg-g' from…

A: Linear transformation problem.....

Q: approximationto fx)=coshix using legendrepolynomials Find aquadratic least-squares approximati onto…

A: Using Legendre polynomials, We have to find a quadratic least-squares approximation f(x) = cosh(x).

Q: Given: mlln, t rans v.k m23 = x²-3X mLb = (x+4)x-s) Find: X and mL4 H15 No hwe column format Yes,…

A: We have given two parallel lines and there is a transversal. We have to find the unknown angle

Q: A=X²i +2j ,B= 3 i +y²j -k Find : 1_ curl (A-B) . 2_ grad (A.B). 3_div (2A-B). Jo 9:59

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Q: 7. Imagine 'gluing' together two tetrahedra with a common interior face that is removed. The…

A: We have to show that the sum of the outward pointing area vectors of the resulting polyhedron with 6…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.