4) Let f(r, y, z) = In(r + 2y + 3z). Find Vf = < fr, fy, fz >. %3D

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: If z = e'x + y In(x), find z, and z, Zx Zy II

A:

Q: 1. Compute  E yz dV , where E is the region above z  0, below z  y, and inside x 2 y 2  4

A: Obtain the limit of integration as follows.

Q: Find the values of x,y and z using Gauss Jordan method.

A: We have given a system of equations ,  3x + 4y + z = 102x - 3y + 5z + 9 = 0x + 2y - z = 6 This…

Q: Suppose we have the quadratic function f(x)=A(x^2)+C where the random variables A and C have…

A: A quadratic equation is written as f(x)=Ax2+Bx+C. f(x) has real roots if B2-4AC≥0.

Q: X and Y have the following joint distribution: 2 1 2c Y 2 c/2 Find COV(X,Y). A) – B) - C) 0 D) E) {…

A: Given Data     x   y   1 2 Total 1 c 2c 3c 2 c/2 c 3c/2…

Q: f(x, y) = In(4 – a² – y?) + fonksiyonunun tanim kümesini belirleyip tanim kümesini koordinat…

A: for defining ln function :4-x2-y2&gt;0x2+y2&lt;4            .....(1)

Q: of Dewrite tue indefinire intgrel by malking tue Suks itution x=2sec@ Do not integrate, 1/2 doe |

A:

Q: 5. Evaluate z dV where E is the region bounded below by x² + y² + z² = 4 and above by x2 + y? + z² =…

A: We have to evaluate the triple integral ∭E z dV over the region E bounded above by x2+y2+z2=9 and…

Q: find the vilue c for by filards method, given that dy

A:

Q: 1. re (x, y, z) x). Ly). (z}} - *(*. y, z) . (x)S(x), ly), (z]} (x)E (x, y, z}

A: If x is element then it belong to set And {x} it will be subset of set

Q: 2 dy y+ 2xy di feransigel deiklenin 2.

A: To solve: The differential equation dydx=y2+2xyx2. Concept used: Power rule of derivative:…

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,…

A:

Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: 2. Consider the DE y(4) – 4t²y" + 4y" = 0. (a) Is the DE linear? (b) Is the DE homogeneous? Why? (c)…

A:

Q: Suppose E(X) = 2, V(X) = 4, E(Y) = 6, V (Y) = 8, and E(XY)= 10. (1) E(X +Y) (2) V(2X +3Y) (3) V (2X…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let p(x)= e5x be the standard integrating 3 factor to x y' +p(x)y =x°. Find p(8).

A: We have to find the value of p(8).

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…

A:

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: Let X,Y,T be dotined poinds. Show that if Te X Ÿ then XY = %3D

A: It is given that on considering that let X,Y,T be the distinct points The objective is to show that…

Q: find the indicated extrema, assuming that x, y, and z ar = xyz z - 12 = 0

A:

Q: -Skatch the reglén of Etyndtion , reversed the order of itegral and evaluade dx dy 7 | +

A: We have to sketch and after changing the order of integration evaluate it.

Q: Find over xlapping area two equatione also gemetrical nepresentahon 2. 4'+v?=n, u?+cV- vn)=1 whore n…

A: Given curves are,…

Q: dy 3. Find dæ if y = In (aVæ +1).

A: Given,            y=lnx3x+1

Q: Apply Euler method and Richardson extrapolation for h = 0.2, 0.1 the problem: and abtain g y' = ty…

A:

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

A:

Q: Given w = In(") + 8z*y* /z find %3D mmadı zerinden mmis xy + 12.x ayu Ob. 72x y 12E +96x'y Od.…

A:

Q: Suppose, X|0~ Binom(m.0)and e- Beta(a,B), then Var (Y) is equals to, maß

A:

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

A:

Q: The ops y' =esx-7Y;s Separable

A:

Q: 10- Evaluate JJI where E is the region that lies inside the cylinder Vx2 + y?dV E x? + y? = = 16 and…

A: Here we use polar coordinate and Jacobian .

Q: 2. Cald te SST, Treatment 1 Treatment 2 Treatment 3 n = 10 T = 10 n = 10 T = 20 SS = 16 n = 10 T =…

A: Given: Treatment 1 Treatment 2 Treatment 3   n=10 n=10 n=10 N=30 T=10 T=20 T=30 G=60 SS=27…

Q: Find the rots of Z'+1= d. Hint s i - e

A:

Q: Since z = In (x2 + y2), x = eucosv, y = eusinv əz/ðu =? az/dv =?

A:

Q: Let E(X|Y = y) = 3y and var(X|Y = y) = 2, and let Y have the p. d. f. %3D %3D if y > 0 e-y fG) = lo…

A: Given EXY=y=3y      and   varXY=y=2 Y have the p.d.f       fy=e-y        if   y&gt;0 0…

Q: Fand the anti daniahir of fw. e+e- 2Cosed px -

A:

Q: Let f(x, y) = xcosy-y e*y. fry at (1,0)is equal to:

A:

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

A:

Q: 10 The double integral 2x dædy, where T is the triangle with vertices (0,0), (3,0) and (6,3), equals

A:

Q: (7 In GL(2,Z,), det O 35

A: Option 1 is correct.

Q: In GL(2, Z,,). det

A:

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

A:

Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

Q: Evaluate xy dS. S: z = 3 – x – y, first octant

A: Given query is to find the double integral in first octane.

Q: 3. Given that p, = x + xy, calculate f,p, dS over the region y sx", 0 < x < 1.

A:

Q: 1 +y = zy" dy dr

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.