Example:- Evaluate the integral of the region R* enclosed by applying the transformation u = ²x-³, v = 2,w=of the integral 2x-y 2 1 34 2 2x−y SDS (²*2 ² + 3) dxdydz 0 0 x=/2/2

Q: The graph shown is f(x) = ln(x+3). 4 3 2 14 ਆਗੂਆਂ 5 4 3 2 1 1 2 3 4 5 -2- -5- +NWA U 57345 What is…

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Q: Select the option that contains the area of the region that is enclosed with the functions Y1 = 6-x,…

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Q: State the area of the region, determined by the lines, y = 14x, y = 4x + 2, y = 14x – 4, y = 4x + 7…

A: we know we will use jacobian to transform the change of variables here .

Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

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Q: Evaluate ffRrdA, where R is the region bounded by y -r + I, y=-I, y=0 and y 1 as in the picture.

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Q: State the area of the region, determined by the lines, y = 6x, y= 4x +2, y = 6x – 5, y= 4x + 4 with…

A: Let D denote the given region.

Q: The Critical Values of the Objective Function: Now we need to find our derivative, C'(x). Again,…

A: As determined previously: Total cost is given as: T=181.6x2+152xy+21.6xy+191.6x2 Constraint: x2y=150…

Q: Use the transformation u = 2x + y, v=x+4y to evaluate the given integral for the region R bounded by…

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Q: Evaluate I 8z(2r? + y) cos(4.r* – y*)dzdy where R is the region above y 2r2, below y = -2r2, and…

A: We want to evaluate ∬R8x(2x2+y) cos(4x4-y2) dxdy over the region R, where R is region above y=2x2…

Q: 58. y dA y x= y- y³ y= (x+ 1)² -1 -1

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Q: If R is the region boundeb by the square a|+|y = 1 then ffR(y-2)dA is equal

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Q: Let E be the region inside the graph of +E + z? = 1. Use the transformation x = 3pcos(0) sin($), y =…

A: We will use coordinate to solve the following question

Q: (Section 16.6, 16.7) Consider lamina (thin plate) R is the region in the xy-plane in the first…

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Q: Find the centroid of the region lying underneath the graph of the function f(x) = (x² + 64) over [0,…

A: Find the centroid of the region lying under the graph of fx=x2+64-12 over 0, 7. Formula: The…

Q: S :R\{0} → R, S(r)=e4z^+5z=2–1

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Q: 6. Compute the integral zez²+y²+z² x2 + y? + z2 dV(x,y, z) over the region P = {(x, Y, z) ; x² + y²…

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Q: 7 Find the area of the region bounded by the a graphs of f(x) = x+ 2x+1 and gix) = 3x+3. Write…

A: The given curves are: f(x)=x2+2x+1          and          g(x)=3x+3

Q: Find the global min and max of the provided function on the provided region R: f(x,y) = x - y - xy…

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Q: ZA So ydz + zdy+ ædz (3,4, 5) C , C2 (2,0,0) y (3,4,0)

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Q: d positive Z* such that   -Z* and Z* enclose the central 34% of the area under the Z curve. State…

A: P(X<a) = 0.33 the z value when p value is 0.33 is  - 0.44

Q: Q4 Calculate the integral Se²y-2x (y + 2x)³ da Where R is the region formed by joining the vertices…

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Q: the region in w- plane which is image of the region 1 < z <2 in z- with the transformation f(z) =?…

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