67. According to Eq. (8) in Section 3.2, b* = m(b) b*. Use the Product Rule to show that m(ab) т (а) + т(b).

Q: mly collect the dat

A: Null hypothesis(H0): Reasons are not significantly relegated to the type of worker   Alternative…

Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

A:

Q: 2. Using OLS or any other suitable method, Prove that E(ß1) = B1 E(ßo) = Bo

A:

Q: az az and at the point (-1, -3, -2). Suppose ry z - 94 = 4xy – z. Compute ду dz |(-1,–3,–2) az…

A: An important result from advanced calculus, called the Implicit Function Theorem,states the…

Q: For the equation uxx + uyy = 0, write the necessary equations which can be used to solve the…

A: The Laplace Equation: ∇2U=∂2U∂x2+∂2U∂y2=0   ⋯1…

Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

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

A:

Q: Section 3.4-The product rule and Quốtiént rule In(x) Differentiate: Y dy Preview %3D dx

A: Given: y=ln(x)x9

Q: Consider the model Yi Bo +31 Xi + ui Where u = B₂Z; is unobserved. You know that 32 = 1 and you…

A:

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

A:

Q: Chapter 13, Section 13.6, Question 001 Find Duf at P. S(x, y) = 3(1 + xy); P(1,3); u = Enter the…

A:

Q: 3- Vn n=1

A:

Q: 6.13 Show that t: = B,/[s//E=, (x;- %3D VI- r in (6.20). |

A:

Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: 74. Show that if 0 < x < y, then Vỹ - Vx < Vy – x.

A:

Q: A 6x 6 square is tiled by 2x 1 dominoes. Prove that it has at least one fault-line, that is, a…

A: Consider a 6×6 square which is tiled by 2×1 dominoes. Suppose the 6×6 square has no fault lines.…

Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

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

A:

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

A:

Q: 6) MLATU = 45°, mZSTU = 120x – 1, and mZSTA = 73x + 1. Find x. %3D %3D T. U A

A:

Q: 1. For U, iid uniform on (-0,0) show that - min, {U,} is sufficient for e > 0.

A: # given ui follow  uniform distribution (-theta,0) then to show that -min(ui) be the sufficient…

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A:

Q: Calculate x - z. (Image 24 JI 8х -2 2x +1 3z z + 22

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am…

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: 3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2,…

A:

Q: Exercise.2 Prove that cos-1 z =- In(z ± Vz? – 1)

A: The given problem is to prove the given inverse complex trigonometric identity. cos-1(z)=1/j…

Q: Show that the Adam-Bashforth method 3 Yn+2 = Yn+1+hf(tn+1,Yn+ 1) – hf(tn,Un) has local truncation…

A: We have to show that the Adam-Bashforth method            yn+2=yn+1+32hftn+1, yn+1-12hftn, yn…

Q: Use linearization to approximate In(1.2).

A: we can use the following formula for approximate calculations: f(x)≈L(x)=f(a)+f′(a)(x−a). where the…

Q: Let X and Y be independent and distributed as N(mu, 1). Is T=X-Y sufficient?

A: According to factorization theorem, if the likelihood function Lx,θ can be expressed in the form.…

Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

A:

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: Compute 1. % 1+ vår + g2 dr, lal 2 1+ " 2. 1+ V2r-

A:

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

A: Let,

Q: Find the Reat teng th of sides of the triungle (AB Al4, 6,0), BL-6, 2,5) yclo, 9,5 ).

A:

Q: Verify Eular's Theorem for z=ax²+2hxy+by2

A: According to Euler theorem,  x∂z∂x+y∂z∂y=nz Where n is the degree of the homogeneous equation.

Q: 2 la), Pu (aw by Re currence relation

A: We have to find out P2(x) and P4(x) by recurrence relation. We know that the generating function…

Q: 8-JIE FCx²_ ye, y-z²) =• then Prove that + Xそ 2Z

A:

Q: 17 Jlgull Classical theory fails appeared sharper when applied on the movement of the electron of…

A: True

Q: 2. is it or divery Con

A: To solve the problem and find its convergence

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: ion Prove that for

A:

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

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

Q: (2, Prove that Ž (Pn+ Pn+1) hr 9=U (y+1) 27-²8 (14+ 2x=-1) y

A: What is Legendre Polynomial: Legendre polynomials are a set of complete and orthogonal polynomials…

Q: Compute (2sin z -) ) da Show work but don't simplify.

A:

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: 2. Sketch 0 in standard position if cose = 8. and deter %3D

A: Given that: cosθ=-817

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: Show that lm Casy -1 CoSy-1

A: