How to determine The direchon that the arrow at the pout 6,1) at he eghahión of he 1t arder g'= {(xry)

Q: 4. Show that z = a' Zax if z = e-al cos(x-at) %3D

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Q: 2. Show that by using MEAN VALUE THEOREM . u-v < tan-1 v - tanu < if 1+v2 u-v 1+p2 0< u<v and ded…

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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: 3) Show that the tangent(45°) = 1. Let "u" = 22.5°, use calculator %3D

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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: ). Show that V - u -ly- tan' u < V - u 1- if 0<u<v, < tan 1+v? 1+u 4 2< tan 4 25 3 and deduce that 3…

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Q: Prove az - ae that d az dz

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Q: Show that :(i) Fishers IN. lies between Laspeyre's and Pagsche's Inder numbers.

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Q: 3) Use Green's Theorem to evaluate o-ydx+xydy where C is the line segment from (-2,0) to (2,0) then…

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Q: of is: If f(z, y, z) = ry z' + In (z) In (y²) In (z³) then dz

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Q: 3- Vn n=1

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Q: on. Find the method of moment estimate for 0

A: Given that sample size n = 4,  Y1 = 0.42, Y2 = 0.1, Y3 = 0.65, Y4 = 0.23

Q: Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x)

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Q: Prove | cosz |2 = cos²x+ sinh²y.

A: To Prove: cos z2=cos2x+sinh2y

Q: find rank(AT) and nullity(A)

A: Rank of A = rank of A^T use this relation

Q: If Y=tanx prove that %3D2

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

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Q: Verify Young's Theorem z = In(2x + y) -

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Q: et X~U([-, 1) and let y = tan(r), show that y Cauchy(0, 1)

A: # using Jacobian transformation we have proved that y=tanx follow Cauchy distribution (0, 1)

Q: Queston #o 4 Show that X, Ixe, where x, and Xe E IR X= (1,1,1, -1) Xz = (4,2,2, -1) %3D

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Q: Sketch ler=qcose

A: The given curve is  1-r2=9cos(θ)

Q: 6. Prove: 4 |x – y| 0, then x = y Vx, yER

A: To solve Q.6 Prove: If x-y&lt;ε, ∀ε&gt;0, then x=y ∀x,y∈ℝ If (Given) Then (To prove) ∀ε&gt;0,…

Q: Show that ! fransform fix into It fn, linear "difference equation: equadion: SkH= +1. JKH

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Q: 2. Show that by using MEAN VALUE THEOREM 4-n < tan-1 v – tan-1 u < 1+v2 if 0< u<v 1+v2 3 <tan 25 -14…

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Q: Show using MGF technique that if Z, - N(0,1), for i = 1,2,3,4,5 , then U = Ez - x² with 5 degrees of…

A: Using the MGF technique we have to prove that : U = ∑i=15Z2i ~ χ2 with 5 degrees of freedom, If Zi ~…

Q: Prove that • I %3D

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

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

Q: 7) If A = xz³i – 2x²yzj + 2yz*k, find VxA at the point (1,-1,1).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: let z- 5 dy By chain Ruie

A: Given z = √x dy/dx = (1/2√x)•(dy/dz) We have to find d2y/dx2 .

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

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Q: I need help doing number 7

A: We start solving the given equations simultaneously.

Q: 5 Compute the valuc of G.dL for G= 2ya, with A(1,-1, 2) and P(2. 1. 2) using the path: (a)…

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Q: -Prove that: y" = 1 if y=csc(tan")

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Q: to decide if the equilibria te that In(x) > 2 for all

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Q: Find the clamped cubic spline that interpolates (0,0),(1,1),(2,2) and satisfies the condition: s’(0)…

A: We have to find clamped cubic spline that interpolates (0,0),(1,1),(2,2) and satisfies the…

Q: Let C be the shortest path that connects 7 to ni and I = f. (coshz + 1)dz. Then --sinh π+ π(1- )…

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Q: 24. Find the Fowrier r fas - -IN X

A: Hv

Q: 12. Write an éxpression that gives all sölutions to the equation. COS X - SIn x 3= 2.

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Q: 5. Show that xZx + yZry = yezy if z= xy + y In xy

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Q: 火2sin C&) for ダチo fcx) = { for x =0 show that Con tinods or not

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Q: true or false without justify The sel { 1,2,t, 3,,4,+, csx, coss is mot Ti Bomded in (CToi], Ul6)…

A: True.

Q: 2. is it or divery Con

A: To solve the problem and find its convergence

Q: tost con Vergen ce and divergence 2 Lnn /-

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

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Q: Let X1,..., Xn be Show that Y = min(X1,. %3D Show that

A: From the given information, X1, X2,.....,Xn are independent, Xi~expλi The density function for Xi…

Q: 4. Prove: -| s|x - y| Vx, yER

A: Solve the question number 4 as asked by the user

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: by thể differen ntial equation on associated with this sy

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

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: 5.If the tangent 1ine to the functlen fx)= axt-6x at X=- has the equatfon. y= 3x+2then 6=?

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