Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y tan (x), y = 1, and x = 0 about the %3D line y = 1? 1 Dar/ (tan*(z))" dz Α. π T/4 B. "/" (1- tan"(2))² da В. П T/4 tan (x) dx С. П Darl DE.T [ (1 – tan (x))² dx I (tan*(2))° dæ F. T tan°(x) dx

Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and ,x=-2 and x=5?…

A: The area of the region enclosed by the given curves has been obtained below.

Q: Find the volume of the solid resulting from rotating about the x-axis the region under the curve 1…

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Q: Find the volume generated by revolving the area encloscd by the curve x' + y = 25 about the line y -…

A: answer  B correct

Q: Find the volume of the solid generated by revolving about the y-axis the region bounded by the curve…

A: The area bounded by the given region is as shown above.

Q: Let R be the region enclosed by the curves y = 2", y = 1, and r+y = 6, shown below. Set up the…

A: We will use standard method to find required terms

Q: y = x - 15 x 10 y = x (4, 4) -6 -4 4 K-4,-4) - 10 - 20 20

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Q: y = xx, x-4, and y =0 Revolve the area of the shaded region about the line x- 4. Using circular disk…

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: Draw the diagram and use the washer method of finding volume of rotation.

Q: Find the area between e" and e² and the lines x=0 and x=In(3). 05 The region bounded by the curve…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: The volume of the solid rotating a curve about y-axis is given by the formula, V=∫cd πx2 dy  where c…

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=e^−x , y…

A: To Find: The volume of the solid obtained by rotating the region enclosed by the graphs of y=e^−x ,…

Q: Which of the following integrals will give the volume of the the solid formed by revalving the…

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Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: (A) Sketch the region R bounded by the graphs of y= 6-x², y=x and y= 6. Find the volume of the solid…

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