If VW = -2z + 29, UX = z + 9, and ST = z + 13, what is UX? %3D V U UX w/ ト

Q: f(æ, y, z) = æ²y+ 2y²z+ 3æz?. Compute fa: (1, 1, 1). None of these. 3

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Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: T(x,y, z) = x² + 2y² + z

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Q: Express ∂w/∂r and ∂w/∂s in terms of r and s if w = x2 + y2, x = r - s, y = r + s.

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Q: Find a particular solution to： y''+5y'+4y=10te^(4t) y(p)=?

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Q: I. If g(x) = Vx – 4 and h(x) = x³ + 4 , find (hog)(x) %3D

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Q: If z = x + iy, z/3 – a – ib and * = 2 (a' -b'), then a is equal а b y to

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Q: Find a particular solution of (15) y′′−3y′−4y=−8etcos(2t).

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Q: Find the solution to the IVP.y = cscx – ycotx' y(÷)= 1 ysinx = x+ 2 ysinx = x + 1- I 2 ycscx = x +…

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Q: Given F(r, s, t) = r(3s4 – 6t°), compute: Frst

A: This is a partial differential problem

Q: If WZ = 68 and UV = 94, what is XY? %3D V W Y U Z

A: Given ,  WZ = 68 , UV = 94  We have to find XY

Q: S6xw, fx,w (x, w) = 0, 0sxs 1,0 < w s Vã otherwise (3x2, fx(x) = lo, 0<x<1 otherwise

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Q: If r(x, y,z) = (x² + y² + z²)!/2, find a²f a²f əx²'əy² ' a²f , аnd дхду

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Q: [In(v + 1)]² dv (e) (d) v+1 V20 – 20-02

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Q: 2 Evaluate [I, (x² +y² +z? dv, 2 В

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Q: If a particle is moving with v(x)=1.5(x^1/2) and s(9)=33, what is the position of the particle? As a…

A: Let v(x) denote the velocity of the particle and s(x) denote the position of the particle.Obtain the…

Q: dz If z(x, y) = x²y, æ = 4, and y = u³ v², find du

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Q: = )* - a) Va' + 1) zVx +1 +C b) Va' + 1) - 2V +1 + C Q3: S dx%3D c) V + 1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 15 ven B = Find the components of -3 relative to B. 2

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Q: f(x, у, 2) dV

A: Given data:     The expression for the given integral is The given function is: f(x,y,z)=e5z. The…

Q: If Cov(x, y) = 0, that means: x and y are dependent. Option 2 f(x,y) = f₁(x)f2(y) Option 1 E(xy) =…

A: We have to tell If cov (x, y) =0 than which option is true.

Q: If (x, y) = (-V3, 1) , then find r and 0.

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Q: 5. Given that mz1 42°, mz2 = x2, mzC =D %3D K C E D

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Q: If z = In /x? + y? , find x- X +y В. 1 С. D. Vx? + y? A.

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Q: الرابع: جد ناتج احد التكاملين التالي ين 1- Smte) xy e*y° dxdy 2- r? N4-y² ry8-x²-y" zdzdxdy x²+y2 2-…

A: 1 ∫01∫0ln(2)xyexy2dxdy first we will solve ∫0ln(2)xyexy2dx ∫0ln(2)xyexy2dx=y∫0ln(2)xexy2dxSubstitute…

Q: Find the most general antiderivative. x2 xp O 25 - +C 2x - +C O - 2% + C 2 2

A: =&gt;x^n dx = x^(n+1) / (n+1) + c

Q: Let X and Y be iid N(1,3). Let U = 4X + Y and V V_dependent or independent? Justify your answer. 2X…

A: Given X  and Y be iid with N(1,3). Mean, μ=1 Standard deviation, σ=3  U = 4X + Y and V = 2X — 3Y

Q: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

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Q: If ř = xî + yj + zk. Show that (i) Vř = (ii) v r3

A: Given, r→=xi^+yj^+zk^. (i) r=r→=xi+yj+zk=x2+y2+z2 Now, ∇r=∂r∂xi+∂r∂yj+∂r∂zk.…

Q: Show that A Yk= V' Yk+r

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Q: B = {(x,y xs2, -a sy s3, 0£21} SS, x*yz²dV 2 'B

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Q: If A = x° yz? î – 3x² z³ j + yz? k , then a² A at the point (1,0, 1) will be дхду 3 î -3) -3 î

A: The vector A is A=x3yz2i-3x2z3j+yz2k find ∂A∂y=x3z2i+z2k ∂2A∂x∂y=3x2z3i the point 1,0,1…

Q: CV4-x2 4-x2-y2 1- o So Si s** ydzdydx Jx²+y2

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Q: S öz (vā - z°) dz =

A: indefinite integral

Q: What's u(x.y) and v(w.y)? if z=x+jy and f(z)=3e3.

A: 3 e3z=3e3x+iy       =3e3x+3iy       =3e3xe3iy       =3e3x(cos 3y+i sin 3y)       =3e3xcos 3y+i 3e3x…

Q: Find a particular solution to y′′+36y=60sin(6t) yp=

A: The given differential equation is  To calculate the particular integral let us consider If we put…

Q: 11, If PQ = OR, JK = 3x + 23 and LM = 9x- 19, find PK. %3D %3D %3D K J R. %S'

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Q: If s = 4/t - 3, then %3D ds dt

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Q: 2 2xy) dy, v es (0, 0), (2, 0), (

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Q: 2. v(t) = c1cos(wt) + c2si=

A: Differential eq:1.x(t)=t2+ctx'(t)=2t+cx''(t)=2This is the required differential equation.

Q: Í (x)dx, iff(x) = Vx -k +1;k-15x <k, k = 1, 2,.n.

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Q: - a. ARWZ W WZ RW b. ? ZR %3D c. RW = 15, ZR = 10, and SZ = 8. WZ 2 and RS = ? R

A: Given, ∠WRZ=∠WZS

Q: 5) *=ClSln t ,y =4 csst t=-2 %3D a) determine dy b) and graeh

A: we have to find derivative

Q: Question dz If z(x, y) = x²y, x = ", and y = u'v², find

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Q: solve the initiat Valu Drobblema L'y 2eY (0)=L and Ylo)=0

A: Given d2ydx2=2e-xintegrating on both side∫d2ydx2dx=∫2e-xdxdydx=2e-x-1+c1dydxx=0=-2e-0+c1=0  (…

Q: Evaluate L/(x - 2y + z) dS. S: z = 6, x² + y2 < 1

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Q: 4 SS C) Jx dy

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Q: Find the solution of BVP 2. Uxy = 4xy+ex ; uy (0,y) = y, u(x,0) = 2

A: uxy=4xy+ex uy0 ,y =y u(x,0) = 2 To find solution of given differential equation

Q: 3. If V =(3r°y-z,x²+y",-2r:'). Find grad div, at the points (2,-1,0).

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.