If W= W[y,, y2.Y3] where y1 , y2 , y3 are twice diffferentiable, W" =W. Select one: O True O False 17

Q: Show that if sin z| is bounded along the straight line {(x, y): ax - By = 0}, then a = 0, i.e., z…

A: In this question, we have to prove z is in real R.  here we use the property of the hyperbolic…

Q: w= Pcxiy,Z) = In (x+y+2) ,x= cost, and z = 4VE %3D 2X = y= Sint >use ch ain rule to Rind du in terms…

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Q: The speciat sotution to the equatio %3D ho A/y)=+X B/yo)=y - %3D d/other than that

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Q: Fnd the emnd tuber pt e dag emema bedagna ttd be dagn by the thn dent Condtion tar agnal ding y ma…

A: Diagonalization of the Matrix

Q: Let f(x, y) = xcosy- y'e*y. fry at (1,0)is equal to: %3D | -2/3 -2 1

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Q: Lef tlxiyA) = (x?4y", yaz', ²+z*), Show that fý differentiable at ll,orlthen find Dfll,o)as…

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Q: use the definition prove that s d sinZ %3D Tal

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Q: By making an appropriate change of variables, evaluate the double integral I = - || ( + y)e v°dzdy…

A: Jacobian of the transformation x=g(u,v) and y=h(u,v) is  ∂(x,y)∂(u,v)=∂x∂u∂x∂v∂y∂u∂y∂v Suppose that…

Q: 2)Evaluate ex dA , Ris bounded by y = x2,y = 1

A: By using Fubini's theorem we solve the given problem.

Q: Consider a continuons fimetion f(x) on [1, 4] that is dif- ferentiable on (1, 4). If f(1) = 10 and…

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Q: Suppose that z = x/y, where x and y are differentiable functions of u and v such that x = dx/dv 3, у…

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Q: 2)Evaluate || dA ,Ris bounded by y = x2 ,y = 1 et2 R. 3)Evaluate | Vy2 + 1dA, Ris bounded by x = 4-…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: KB is ∀xy F(x, y). Prove using resolution-refutation that ∀xy F(y, x).

A: Solution: First, we convert clauses to CNF : (1) ∀xy Fx,y from KB (2) ∀x Fx,Ax (3) Fx,Ax CNF

Q: Find fr and fy- pry S(27, y) = /" 2e" dt %3D f.(r, y) = | f„(x, y) = | %3D

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Q: Determine la derivada direccional de f (x, y) = y In z en el punto P (1, 4) en la dirección de v = i…

A: Topic:- calculus

Q: Let y = 2x2 + 7x +3. If Aæ 0.3 at r 4, use linear approximation to estimate Ay %3D Ay 2 instructor

A: Linear approximation

Q: Evaluate S S f3zdV where E is the solid enclosed by z = 1 and z = x2 +y?

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Q: he area bounded by the curve y = 3Vz and the lines z = 5 and z = 9 above the r – aris is_ quare…

A: Find the area of bounded curve with line x=5 and x= 9 above x-axis

Q: By using the substitution method, show that for any positive numbers x and y ry 1 dt = Sdt

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Q: Hw in Com positin Fundiong La)=Jスート 2 gex) =4x" Eind Fogce) %3D 9.f G)

A: The given functions aref(x)=x-1g(x)=4x2to findfog(x)gof(x)

Q: Show that(i × j) × j = i × (j × j)Conclude that the Associative Law does not hold for cross…

A: Using the cross products of the unit vectors i,j, k, we obtain

Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

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Q: Čopy of Given the following noninoar ordinary difforantial oquation, y+5y+2y2=f (1)· where f(t) = 3…

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Q: Evaluate the integrals

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Q: Evaluate the line integral So 7y dr + 3x dy where C is the straight line path from (2, la 7uda + 3z…

A: Introduction: A line integral is an integral that determines the function to be integrated along a…

Q: Under a change of variables z = u°/3, y = v²/2 , the infinitesimal element of area dædy becomes 6uv…

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Q: Comi der Hhe falßlning. J= x' J = 6-x of the ragan bj intyng awea ef mgount to O Fnd the wi th ayact…

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Q: Evaluate | CurlF nds F(x,v,z) = - yzi + xzj – xyk, and S is that part of the cylinder 4= x² + y²…

A: Given function is  Fx,y,z=yzi+xzj-xyk To evaluate ∬SCurlF·nds where S is the part of the cylinder…

Q: use the scond fundamental thearam Ot cal culus to find F'Cx) fex) = 3t dt 3.

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Q: c) Let f(r, y) = Vlry| Prove that f(r, y) is not differentiable at point (0, 0).

A: Given a function : f(x,y)=xy We need to show that f(x ,y) is not differentiable at (0 ,0). Let's…

Q: || x dA, R is bounded by y = x, 2x + y = 6 and the y-axis. R

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Q: consider the curue desoribed by 2y"-x²_4y vevity that the foint (4-25 les on this o8 wrE andd find…

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Q: If the region R is bounded between two circles x² + y = 4, x² + y = 9, then we have: sin(Vx2 + y?)…

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Q: (a) Let f(r, y) = x - 3ry + 18y, where 3r?y- y- 6x = 0. Prove that f(r, y) has extrema at the points…

A: Calculate partial derivative of f(x,y) with respect to x and y ,

Q: O Given the initicl bouridary conditions y(0) =0, y'c0) = 1, letrmine the, solntiem of %3D…

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Q: 2. Evaluate the given line integral, (-y, x – y) · dR, where C is the line segment from (2,0) to (0,…

A: Using parametric equation, line integration is evaluated.

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

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Q: 3)Evaluate || Vy2 + 1dA , Ris bounded by x = 4 – y² ,x = 0 R

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Q: Show that the function u = p(xy) + Vry v(y/x) provides the quation = 0. dy?

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Q: Evaluate by Cauchy’s integral formula: ∫ c e3z/(z+2)4dz where c: mode z = 4.

A: To find - Evaluate by Cauchy's Integral formula : ∫Ce3zz + 24 dz where C : z = 4     Formula used -…

Q: Findd Fhie boundled by Ahe Cureo area 2. X= 3J-y' and x+Y=3 ーレ

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Q: . SS, xcos(y)dA, D is bounded by y = 0,y = x² ,x = 1.

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Q: If f(z) = sin(z 2) = U(x, y) + iV (x, y), determine U and V . Verify that the C-R conditions are met…

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Q: Show that if |sin z| is bounded along the straight line {(x, y) : ax - By = 0}, then a = 0, i.e.,…

A: We know, sin z = sin x cosh y + i cos x sinh y, Where, cosh and sinh are hyperbolic functions.

Q: Qz: IF U=h cx,g )= Lnce+ ě).show that %3D Sy

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Q: Let D be the portion of z = 2x + 5y inside z? + y? = 1, oriented up, and let %3D F (y, z, –2).…

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Q: 2)Evaluate er dA , Ris bounded by y = x2,y 1 3)Evaluate I| Vy2 + 1dA , Ris bounded by x = 4 - y? ,x…

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Q: Evaluate the double integral (x+ y)dA where y = | x| and the line y=4 16/3 O 32/3 O 128/3 O 64/3

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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.