4 - If w = x+ 2y + z? , x= , y =r2 + In(s) , and y = r2 + In(s) , and z = 2r aw find at the point (r, s) = (-8,4). %3D | as

Q: Suppose that T(0) = a ar average as, for n 2 0, %3D

A: (3) Given,           T(0)=a and T(1)=b and are some constant.    Define  the runing pairwise average…

Q: Juneten and be fure at lebel aut least thre f (n) : Su

A: As asked we can find the answer as below

Q: Find the maxamin s in flectlon Points and the in ter Vals on which the function inerease,decrease…

A: follow the solution which is mentioned in step 2.

Q: 7) if p(X) =- ) , and grea) =0; g'LW)=), Find f'la). %3D

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Q: 1. Find where f(x, y) = 4x² + 8y? – 4x – 8y +5 has absolute extreme values over the square with…

A: To calculate the extreme values of f(x,y)bounded by the square, the following calculations need to…

Q: (2) = [| (a) %3D h (b) Value(s) that are NOT in the domain of -

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Q: - If W = xy + y2+1 azw Show that a2w ey %3D дхду дудх

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Q: Let XN(3, 4) and let Y~ N(2, 3). Define S = X + 3Y, where 'X and Ya atistically independent RVs.…

A: Given that: X~N3,4Y~N2,3S=X+3Y, X and Y are…

Q: 2. If z = x° In 2.xy, find at 1,-

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Q: Given the LP Model Minimize: z = x- y subject to: 4х — Зу s0 x + y < 10 х, у 2 0

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Q: (d) VX € P(N), XCR. (e) In ɛ N, VX e P(N), |X| < n. (f) Vn e Z, 3X c N, |X| = n. (g) 3me Z, Vn € Z,…

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Q: dy Find Z for y = (8+ x³ In x)ª + e3x

A: We have to find out derivative

Q: Evaluate the bound of the error if the Trapezoidal rule applied to S (x)dx . Given that 5 k is…

A: Apply formula of trapezoidal error

Q: a. Suppose Y; = B1x; + €;, i = 1, ..., n. In this equation x is non-random, B1 is a parameter…

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Q: 1. Find the interval(s) wheref(x) = xe6* is concave down, if such an interval exists.

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Q: p = m(1-dt) for d (buisness)

A: In this question , we can solve for 'd'.

Q: The correlation coefficient between two variábles X and Y is r= 0.6. If Sx = 1.50, Sy = 2, X 10 and…

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

A: According to factorization theorem, If the likelihood function L(x,θ) can be expressed in the form…

Q: The distribution of P(x,y) on a thin metal plate is given by ²P 2- dx2 = 0 ду? If we use a step size…

A: Given: Distribution of Px,y on a thin metal plate is, 2∂2P∂x2+∂2P∂y2=0 Step size: h=14, k=12   To…

Q: The evaluation of S V1 + tan2x dx is C In(V2) +1 In(vZ+1) C In(vZ-1) O-In(vZ+1)

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Q: 1. Find the uncertainty equation for the following function f, assuming x, y, and z are variables.…

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Q: S dy 7 y2-8y+5

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Q: Suppose that a) [15x²y; 0<x<y<1 f(x, y) = { 0; otherwise. Compute E(Xy), Var(X) and Var(Y). b)…

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Q: dy 3. Find dæ if y = In (aVæ +1).

A: Given,            y=lnx3x+1

Q: Show for R(t) = e?-t and S(x) = 2x + 1, that (Ro S)(x) = e1²+2#.

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Q: az Find for z = x²y°e®Y dx

A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: In 2 and y Given Z = y'e-2a + 3y; where x = and Ay = 0.03. Estimate the absolute and percentage…

A: Given function is - Z=y2e-2x+3y where, x=ln2 and y=2 And the possible errors ∆x=0.01 and ∆y=0.03 We…

Q: The value of c of fo-2- in the iterval .D such that rio--E) OA 3 OB. -3 OC 3 O0. 3-

A: c = 3explanation is given in below step

Q: 3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx…

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Q: (4) Evaluate : + yz') dV if Q= {(x, y,z): x:[-1, 1], y:[3, 4], z:[0, 2]}

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Q: 8.xy² If u = and error in x, y, z be 0.001, compute the maximum absolute and relative z³ error, when…

A: Given equation be u=8xy2z3 error in x, y, z be 0.001 Now ∂u∂x=8y2z3, ∂u∂y=16xyz3, ∂u∂z=-24xy2z4  and…

Q: In Exercises 5–12, find and sketch the domain for each function

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Q: Suppose that L = 27, a2 = 1, and the initial temperature distribution is f(x) = 27 - x for 0 <x< 27.…

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Q: Evample: y-xy, Yu)=1 and h:o.l a pproximale Y(1 3) using improved Euler Muthocd.

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Q: The coefficient of correlation between X and Y is - and o = a, of = 4a, and %3D %3D ož = 114 where Z…

A: Given: Z=3X-4Y. The coefficient of correlation between X and Y is 13and σx2=a, σy2=4a,σz2=114

Q: dz Find if yz – In z = x + y ax

A: To find the partial derivative of z of yz-ln z=x+y with respect x, differentiate yz-ln z=x+y, while…

Q: S F(s) %3D (s+5)6

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Q: An M.V.U. is unique in the sense that if T, 1 M.V.U. estimators for y (0), then T, = T, almost

A: A sample statistics t is said to be unbiased estimator of population parameterγ(θ) if expected value…

Q: (z In z + 5)dz

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Q: - Given y= ela's -x²-In'r, what is y'?

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Q: a. What is P(X= 1 and Y= 1)? b. Compute P(X<= 1 and Y<= 1). c. Compute the marginal pmf of X and of…

A: Problem 2: a. The value of PX=1 and Y=1 is, PX=1 and Y=1=0.20 Thus, the value of PX=1 and Y=1 is…

Q: 10 Consider A :3D and y:= Find all re R that minimize || Ar - y|l2.

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Q: Compute the flux

A: by divergence theorem flux=∫∫sF.ds   =∫∫∫E div F dv Given F=x,y,zand   S; is the boundary of the…

Q: An M.V.U. is unique in the sense that if T, and T, are M.V.U. estimators for y (0), then T, = T,…

A: Answer: For the given data,

Q: A set of X and Y scores has My = 8, SSy = 20, My = 5, SSy = 80, and SP = 15. What is the regresslon…

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Q: 3. If f(x,y,z)= In 4 xyz Ite t3y:²s²) , find f,,f, and f..

A: Given that: f(x,y,z)=lnxyz4+e-(3xy2z2)

Q: What value of x minimizes C = 0.005x2 provided that C must be positive and x is within (0,1)

A:

Q: 2. We want to evaluate e¹/x dx using the composite trapezoidal rule with three decimal precision,…

A: Introduction: In numerical approximation, there is always an error between the approximate value and…

Q: Prove that S, pm (x)Pn(x)dx = 0 if m# n ? %3D

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.