Jse a double integral to find the volume under the plane z = 38x + yand over the rectangle R = {(x, y):3 < x < 5,1 < y s 2). cubic units eTextbook and Media

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Q: 59-64 Use Property 8 of integrals to estimate the value of the integral. x'dx 60. | Jo x+4 59. dx…

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A: Given :f(t)=00≤t≤17t-7t≥1

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A: To Find: Directional derivative

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Q: Edit Evaluate the line integral -ydx + xdy along the curve C : y = 21x from (21, 21) to (0,0). NOTE:…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, g) = |(?, ?) y = 1

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Q: solution

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Q: Evaluate the definite integral. 9ti + 3t°j + Vtk) dt

A: The given definite integral,    ∫-119t i+3t3j+t3kdt

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 5…

A: To evaluate: ∮C5y2dx+5x2dy Let, L=5y2&amp; M=5x2⇒∂L∂y=10y, ∂M∂x=10x

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Q: 2" 5n+1 n=1

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Q: 7-18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7.…

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Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (15 Vsin…

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Q: Find curl (4z i + 5x j + 3y k). Exact number, no tolerance. curl (4z i + 5x j+ 3y k) = (i )i + ( )j…

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Q: y x = y - 2 y = 1 x = e -3 -1 1 2 4 | y = -1 3. 3.

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