Evaluate fe (2x – 2y),/x+ y dA x+y = 3. where R is bounded by y = x, y = x – 1, x + y = 0, and

Q: 22. :-29-23²-x²y + 16 z = 2Y

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Q: 3. Find the largest domain (in R2) for the function In(3 + y) 1- x + y f (x, y) :

A: Let's find.

Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.

A: To approximate: 2.032+0.82+2.12 Consider a function, fx,y,z=x2+y2+z2 The linear approximation of a…

Q: of and ду of For the function f(x,y) = In (x+ 3y), find

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Q: 21. Let D denote the region between the parabola y = 8-² and the line y = x + 2. Compute ff 2x + y…

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Q: Find and sketch the domain of z = f(x, y) = In(9 - x - y²).

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Q: ) verity by induction the correctness of the solution of recusive equation for the ruming time of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6) Find R100 for y = x³ on the interval [0,2]. Use four decimals.

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Q: X=4(mod nod 13) X2-7(mod 15)

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Q: Find all local extrema of the function f given by f : R? → R, f(x1, r2) = 3x7x2+ x} – 3a? – 3x3 + 2.

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Q: Let f(x, y) = √√/175 – 3x² – 4y² Evaluate f(1,4)

A: Given :To Find :

Q: Given F = (xyz², x²yz³, y²), find the following. (a). div (b). grad (divF) (c). curl (grad (divF))

A: We need to find the divergence of the field. F=xyz2, x2yz3, y2

Q: Find the area of the shaded region given below. y = √√√=x+4 y = √√x + 4 neg y = x² + 4 x = y² -6y +8…

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Q: Calculate the total area of the glass needed for a KLEEMANN curved building design with a function…

A: we have to find area.

Q: Find the value of b so that the point x = (13, b) belongs to the boundary of the set U = {x=R² : x₁…

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Q: 6. Find the area bounded by: d. The curves y=x-4, y38-2x.

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Q: The Valne of x For V50+7x <x+8.

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Q: 2. Find whether the function F-(* - y' )i + (v² - 3x)j + (:² - xy is irrotational.

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Q: Find SS, (x2 + y²)dA, where D is bounded by y? = 4x and y = x.

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Q: Find the area between the curve of y ਆਗੂਆਂ 2 4 = zæ + 2 and the x-axis on the interval [-2, 1].

A: Given that , Now we want to find the area between the curve and the axis  on the interval .

Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given curves are y=x2-3x y=x3+x2-12x Take  y=fxHere,   fx=x2-3x y=gxHere,   gx= x3+x2-12x

Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [-1,2] by…

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Q: y = x2 – 2x and y = x³ from x = 0 to x = 1

A: First, we need to draw the graph of y=x2-2x and y=x3. (1) Graphing of y=x2-2x. The given equation of…

Q: 4. Are the following functions cubic splines? a. f(x) - x- 2x + 3, 0 sxs 1, - 2x - 3x2 + x + 2, 1 s…

A: Given :(a) f(x)=x3-2x+3, 0≤x≤1             =2x3-3x2+x+2, 1≤x≤2(b) f(x)=5x3-3x2+1 0≤x≤1…