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~Hello, please place a box around all required answers. See the photo below. Thank you! 16. DETAILS SCALCET9 7.8.023. Determine whether the integral is convergent

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~Hello, please place a box around all required answers. See the photo below. Thank you!

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16. DETAILS SCALCET9 7.8.023. Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) 8 sin2(a) da17. DETAILS SCALCET9 8.1.007. Set up, but do not evaluate, an integral for the length of the curve. x = 7 sin(y), Oxys 2 7 / 2 dy Jo13. DETAILS SCALCETQ 3.2.010. Find the exact area of the surface obtained by rotating the curve about the X-axis. SCALC ET9 8.3.01 1 . ASK YOUR TEACHER A trapezoidal plate with height h and bases a and 2a is submerged vertically in water as shown. Express the hydrostatic force against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Use delta for 6', the weight density constant.) 20. DETAILS SCALCET9 9.3.013. Find the solution of the differential equation that satisfies the given initial condition. dy = 7xey, y(0) = 0 dx

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