From the picture can you prove that is the λσ is one to one and onto? plz with details

Q: Verify that cos kx is a rolulion Also, stafe what kind of DE is the DE above :

A: This question is about solving differential equations.

Q: 8.0. If x-(x,, X, ...,%)«R', define [xL by Prove that xJkL is a norm on R'. N I|} dns - x]

A: We will solve the first question highlighted in yellow. If you want the second question to be…

Q: get an 6Usc Thesrmn to show that -x gra) = 2 has a unique haed %3D point on

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

Q: Consider the elliptic curve group based on the equation y = x + ax +b mod p where a = 2, b = 4, and…

A: We have to compute the addition of two points for the elliptic curve y2≡x3+2x+4 defined on ℤ11. Let…

Q: Find the Leplace bransform. of Hhe fure tion ESinut octca to biven that

A: Laplace transform of periodic function: The Laplace transform of a periodic function f(t) of period…

Q: a) Assume that y is a continously functian in t. Evaluate differ entiable TT to

A: Given ∫xexπyty'tdt

Q: 15. Verify the SSS Postulate for triangle congruence by using congruence transformations. Given: XY…

A: Given: XY¯≅RS¯,YZ¯≅ST¯,ZX¯≅TR¯ To prove: ∆XYZ≅∆RST

Q: - Show that the norm tion t= aT+B. Use [a, b] onto [0, 1] (7) = 1, ý(7)= T, V т,

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Q: Suppose that ACBand that .P(A) = 0.3 and P(B) = 0.2 %3D Find P(B|A) 0.3 1 0.06 0.1 0.2 0.5 SHOT ON…

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Q: nain of T is R" and the codomain is R', what are the values nsformation one-to-one? Briefly say why…

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Q: Compute the orthaganal piojectian of ? onto the lina L through -6 and the origin

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Q: Let r(t) = (t, 3 cos(t), 3sin(t))

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Q: If Z= cos20+isin 20 prove that = sec² 0 %3D (Z +1)

A: We have to prove L.H.S = R.H.S

Q: of all Z € C that z iz e = e a Descnibe and sketch the set

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Q: Suppose that Find the Jacobian Metrix for map.

A: Given y1=x1x2-x2x4y2=x12-x42y3=x1x2x3x4

Q: Suppose A-( ) and One of it's eigvalues find ayae s js bhen alaef

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

Q: a) Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

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Q: Find the d. c. of from definition.

A: Introduction :

Q: spectra of TT* and T*T are real and cannot

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Q: defined BCX,x). a norm Dn

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Q: Let xe" and yer show that <xiy)=ytx is on imer product %3D

A: We have to show that &lt;x,y&gt; = y*x is an inner product

Q: give an example or prove it doesn't exist j. an orientation on K44 which contains no sources or…

A: The given statement is,  An orientation on k4,4 which contains no sources or sinks but is not…

Q: Find the of im < Re z< £ un der w-

A: Substitute w=u+iv and z=x+iy in the transformation. w=1zu+iv=1x+iyu+iv=x-iyx+iy.1x-iyu+iv=x-iyx2+y2…

Q: Show that if, in using the Laplace development, you accidentally multiply the elements of one row by…

A: A 3×3 matrix a11a12a13a21a22a23a31a32a33.

Q: (a) /3yin In (g) dy

A: First remove the constant and then substitute the formula by integrating by parts and then simplify.

Q: sor model is pur using re ath and up t

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Q: Which of these best describes T?

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Q: dual of c, is isometric to l'.

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Q: Use the diagram to prove that ACAS ATAS. A T. Given: CS = ST and mzCAS mzTAS= 90 Prove: ACAS= ATAS

A: Given : CS ≅ STm∠CAS = m∠TAS = 90°

Q: prove that the Lollowing examples satisly Laplace eqadion are -2y Cos 2X

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Q: Find the general Salation tor the

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Q: If a translation maps zH onto LJ, which of the following statements is true?

A: First, we must perform the analysis of the diagram:   1. By translating angle H to angle J,…

Q: Qsit Prove that the Centre of a gp îs noymal. of

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Q: prove that Sa/Gn has f discription with M-ly ny-l Degrees tof freedom

A: Suppose that xi and yi are two random samples of size n, drawn from a normal population.  Population…

Q: 2 Draw the projection of b onto a and also compute it from p=za: |3D COs O sin 0 (a) b = and %3D a =…

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Q: 5. If u = ee Cos(alogr) prove that a'u 1(ôu 1 a'u = 0 + r ôr

A: Derivative.

Q: Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

A: Given that, f1(x)= x, f2(x) =cos2x and interval is [0, 90o] Wehave to find that the functions are…

Q: show that fE Riemann [o,!] and Find f de

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Q: 3. Show that a reflection a in the x-axis defined by o(x, y) = (x, -y) is an isometry.

A: The solution of given problem is followed by

Q: 5. For A = {a %3D identity fune

A: As per the company rule, we are supposed to solve only one problem. Therefore kindly repost the…

Q: Verify that cos kx a solulion of Also, stafe what kind of DE is the DE above

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Q: hat from g

A: Here we have ,  x=rcosθ=f(θ)cosθ,  y=rsinθ=f(θ)sinθ, α≤θ≤βand L=∫αβdxdθ2+dydθ2 dθ To prove :-…

Q: Question 2: Show that the set S = {rVT + V2:rE Q) is dense in IR. Explain and show your work.

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Q: If E and E, are measurable , then (E,UE) is not measurable

A: False.

Q: A mapping f:C→ C is called bounded, if sup |f(2)| < o0. zEC Show that sin, cos : C →C are unbounded…

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Q: Consider the following coordinates. W(1,8), X (7,8), Y(4, 5), and Z(1,2) Select all methods you…

A: Given : W(1,8), X(7,8), Y(4,5) and Z(1,2) To find : All methods to prove triangle WYZ  is congruent…

Q: If e-ispure imaginary W hat Restriction is placed on z?

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Q: Find the domain corresponding to the inner loop of r=1+2cos(theta)

A: The domain  inner loop of r=1+2cos(θ)  is 0,1

Q: if :z = cos 0+isin 0 2z² z²+1 prove that: 1+itan 0

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