find the tayler Polymomiul! P3(x) for the function fex) = X at a=1,3

Q: Find the sum of maximum and minimum values of the function f(x, y, z) = 4x + 8y + 12z on the elipse…

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Q: Find the alue of C that satisfied the theorem for the function fCx) = 3+ Jc on the %3D in terval…

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Q: 6. Evaluate (7xi - zk) · ndA over the sphere S : x² + y² + z² = 4 (u) by the Divergence Theorem, (b)…

A: The divergence theorem states that  ∬SF·ndA=∭V∇·FdV Where, F is the vector field, V is the given…

Q: Calculate the double integral Sle (x² + 2y) dA, where R is the triangular region with vertices 8/3…

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Q: If f (0)=f'(2), find the difference c-2d for the following cubic spline S(x) with clamped boundary…

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Q: (b) A point P with coordinates (X, Y) is uniformly chosen from the unit disk D = {(x, y) : x² + y² ≤…

A: As according to the guidlines we can solve only one question please post the other question…

Q: 2. Use the method of Lagrange Multipliers to determine which point on the surface !++ = 1, æ, y, z >…

A: According to the Legrange multipliers method to find closest point on surface to origin, solve for…

Q: Use the method of Lagrange multipliers to find the maximum of the func- tion f(x, y) = x² + xy+y² on…

A: Find the maximum of the function fx,y=x2+xy+y2 on the unit circle x2+y2=1 using the method of…

Q: Find the sum of maximum and minimum values of the function f(x, y, z) = 4x+ 8y + 12z on the elipse…

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Q: Find the absolute maximum and minimum values of f on the set D for f(x, y) = x² + y? – 2x, where D…

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Q: 3. Use the method of Lagrange multipliers to find the minimum distance between the paraboloid z = x?…

A: Given,                               z=x2+4y2and the point (3, 0, 0).

Q: Find the maximum value of f(x, y) = 3ry(9 – 45x – 9y) over the triangle with vertices (0,0), (,0)…

A: Maximum value occurs at critical points or on the boundaries of the triangle.

Q: Evaluate the integral ∮C 4x3y dx + x4 dy for any closed path C.

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Q: Let M and m be the maximum and minimum values of Ax, y) = 5x + 4y on the region x +y < 49 . Then…

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Q: The area bounded by the curve y3a and the lines z 4 and a-9 above the z-azis is aquare units O 27v0…

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Q: 4. If R is the total resistance of three resistors, connected in parallel, with resistances R, R,,…

A: as per our guidelines we are supposed to answer only one question. Kindly re post other question as…

Q: Use Green's Theorem to evaluate F. nds, where F = (Va + 6y, 3æ + 6y) C is the boundary of the region…

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Q: Find the maximum value of f(x, y) = 11zy(9 – 99x – 9y) over the triangle with vertices (0, 0). (†,0)…

A: Given: The triangle vertices are (0,0),(111,0) and (0,1) f(x,y)=11xy(9-99x-9y)…

Q: Find the absolute maximum and minimum values of f(x, y) = 3xy−6x−3y + 7 on the closed triangular…

A: Find out the absolute maximum and minimum values of  f(x,y)=3xy-6x-3y+7 for the maximum and minimum…

Q: Evaluate the integral Sdx using the two-point Gaussian quadrature rule 1+z² -2 2444 O O OOO N|WO…

A: We have to evaluate the integral ∫−2221+x2dx using the two-point Gaussian quadrature rule. Here,…

Q: Solve using horizantal Slide EX Evaluat..f.x.dA.whak.R.a.the.sgen.in.the figt.…

A: ∫∫R f(x,y) dA= ∫∫R f(x,y) dxdy =∫∫R f(x,y) dydx

Q: Find the difference c-d for the following cubic spline S(x) with natural boundary conditions: S(2) =…

A: To find - Find the difference c - d for the following cubic spline S(x) with natural boundary…

Q: For the proble m ; O WP N by y=4x and y -x3 abolut the method Cdisk / shell ln would you use to…

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Q: Find the value of c such that the regionbounded by y = c sin x and the x-axis on the interval [0, ∏]…

A: Given y = csinx and the region bounded by y = c sin x and the x-axis on the interval [0, π] has area…

Q: Find the difference c-2d for the following cubic spline S(x) with natural boundary conditions: =…

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Q: 4. A 5m x 5cm is cut from a corner of 20cm x 30cm. cardboard, find the centroid from the longest…

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Q: find the product of the integral 1- ' pln(7) xy eyx dydx

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Q: For the qutegradsSEddy tringle Over the bounded by -0,4=0 and *+y=l-

A: We have to find the integral  ∬e2x+3y dx dy   over the region R bounded by curves: x=0, y=0, x+y=1

Q: Evaluate the integral 108 - 2y/E+ 4ydzdy, 4 where A is the parallelogram with vertices (0,0), (),…

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Q: ydzdydx x²+ y² +z? 2.

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Q: Find the difference 2c-d for the following cubic spline S(x) with natural boundary conditions: So(x)…

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Q: Show that the function u = p(ry) + JFÿ¢(y/x) provides the quation „Pu = 0. dy

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Q: Use Green's Theorem to evaluate F nds, where F = (Va+ 3y, 2æ + 3y) C is the boundary of the region…

A: Given information is: Vector field :

Q: Evaluate both sides of divergence theorem for A= pa,+ pcos()a+ za, through the closed surface…

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Q: Find the surfaces on which the function u = 2 (x2 + y²)/z is constar

A: Since u is a constant so, x2+y2z=4a , where a is an arbitrary constant.

Q: For x,y,z > 0, use the Lagrange Multiplier Method to find the minimum value of 1 1 1 + + x y Subject…

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Q: Let R=[0,6]×[0,6]. Subdivide each side of R into m=n=3 subintervals, and use the Midpoint Rule to…

A: Given :  R=0,6×0,6m=n=3     MIDPOINT RULE:

Q: 4. Find path integral J xdx+ ydy, if L is the segment: x-1,y= and re (0.1]

A: Given x=t, y=t2, t∈0,1

Q: Evaluate both sides of divergence theorem for A= pa, + pcos(6)a+za, through the closed surface 0<p<…

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Q: Given that u = *, Es, Ey and ɛ; denote the errors in x,y and z respectively such that x= y =z=1 and…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: .The primal form of SVR with soft margin is M 1 min |w+CE(6i + &;) i=1 s.t. y) – w"x1) – b < e+ §i,…

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Q: find the volue of the od specify ingrol integrol T-x2 the

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Q: 3. Use the method of Lagrange multipliers to find the minimum distance between the paraboloid 2= z +…

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Q: Let D be the portion of z = 2z + 5y inside z² + y² = 1, oriented up, and let F = (y, z, -z). Compute…

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Q: Use the transformations u = xy and v=xy* to evaluate ff xyd4 where R is the √√3 1 X region bounded…

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Q: Evaluate / (7xi – zk) · ndA over the sphere S : x² + y² + z² = | S a) by divergence theorem, (b)…

A: a) By divergence theorem, ∬SA. ndA=∫∫∫V∇.A dV Now,  ∇.A=∂7x∂x+∂0∂y+∂-z∂z=7-1=6 By changing to…

Q: What is the additional condition for a cubic-spline S(x) that passes through n data points (x1, Y1),…

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Q: The area under the curve y = 3z bounded by the linesI = 3 and z= 7 above the z- azis is O 174.00…

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