Evaluate the integral for the following data. F = [x - z, y - x, z-y], S: r = [ucos (v), usin (v), u], 0≤u ≤ 3,0 ≤ v≤ T ffF.n FondA = i

Q: Evaluate the integral for the following data. F = [2x, 5y, 0], S:r = [u, v, 4u + 3v],0 ≤ u ≤ 1,-8 ≤…

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Q: .  Set up an integral for the area of the shaded region. B. Evaluate the Integral to find the area.

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Q: Evaluate the following integral, where R is bounded by x= 1, y = 2x + 4, and y = -x- 2. y2 dA

A: Given: Region R is bounded by the curve x=1 , y=2x+4 and y=-x-2 The region R can be expressed as…

Q: Evaluate the integral [[F.n dA for the data F= [y³, a³, 2³], S S: x² + 4y² = 4, x ≥ 0, y ≥ 0,0 ≤ z ≤…

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Q: Use Simpson's Rule and the data in this table 8 9 10 11 6 -2 0 5 X y 78 to estimate the value of…

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Q: 1 Find the area between the graph of x = y² and the y-axis on the interval [1, 4]. -0.5 3- 2+ 1 0…

A: Given that ,and the graph isFind the area between the graph of and the y-axis on the interval .

Q: Find the area under the curve f(x) O u = x√In V 1 X In 2 as shown below.

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Q: 9. For each n E IN, let Xn be the set of polynomials of degree equal to n, and let Pn = U_0 Xk. True…

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Q: Write the area as a sum of two integrals with respect to y. The area is bounded by these lines: y…

A: Given the area is bounded by the lines

Q: y = 5; [1,3] 6. y=5 4 3 2 1 0 1 2 3 4 x

A: Given : To find : Area under the curve y=5 under the limit [1,3]

Q: Which one is the evaluation of the following line integral? x = -1² - 4xdx + y2dy-yzdz with C given…

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Q: Find the area under the curve f(x) = = O u x√in: Vin V 9 = = as shown below.

A: The given function

Q: (1,0) (1.0) |(r? - y?) dx + 2xy dy + i | -2xy dx + (x² - y') dy (0,1) (0,1) Calculate the above…

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Q: 28 52²₂ Use Simpson's Rule and all the data in the following table to estimate the value of the…

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Q: In a rectangle, the width is one-third the length. The total perimeter is 40 inches. Find the length…

A: Solution: Given:    Width is one third of the length of rectangle     and the perimeter of rectangle…