A diving pool that is 5 m deep and full of water has a viewing window on one of its vertical walls. Find the force on a window that is a square, 0.75 m on a side, with the lower edge of the 3 window 1.5 m from the bottom of the pool. Use 1000 kg / m° for the density of water and 9.8 m/s for the acceleration due to gravity. Find the width function w(y) for each value of y on the face of the window. w(y) = .75 (Use integers or decimals for any numbers in the equation.) Set up the integral that should be used to find the total force on the window. Use the bottom of the pool as the origin (0,0), with the y-axis passing through the left side of the window. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice.
Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
Set up the integral that should be used to find the total force on the window. Use the bottom of the pool as the origin (0,0), with the y-axis passing through the left side of the window. Use increasing limits of
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