Find the Centroid of a solid produced by rotation of the 1st q. area bounded by y = Inx, y = 2 about Y-axis. A diagram is required with the element of volume and length of the arm shown. You may use integration tables to evaluate required integrals

Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

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Q: Solve by integration: Find the centroid of the region bounded by y=x3+3 and the lines x=0 and y=0.…

A: given functions are                                              y=x3+3x=0y=0…

Q: SOLVE STEP BY STEP Sketch the region bounded by the curves y = vx + 4 , y=x+2 and evaluate the area.

A: the given curves are: y=x+4 and y=x+2. we have to skecth the region bounded by the given curves and…

Q: For the region bounded by x + y² = 20 and x + y = 0, decide whether to integrate with respect to a…

A: The given problem is to find the area of region bounded by given curves x+y2=20 and x+y=0.

Q: A thin metal plate of uniform density covers the area between the curves y = 2+ 6x – x² and y = 2 –…

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Q: Y = 5x , Y = X^5,  around 15   Rotate this region about a horizontal or vertical line that is NOT…

A: Consider the provided question, Given equation of the curve y=5x, y=x5  around 15 We need to rotate…

Q: Find the centroid of the volume generated by revolving about the line x = 1, the area bounded by x2-…

A: We will use basic integral calculus and techniques of integration to answer this question.

Q: sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to y or x.…

A: Let us consider the curve y=f(x) and y=g(x) the area under the curve y=f(x) and y=g(x) between the…

Q: Determine by direct integration the centroid of the area shown in the figures. Where a= 22 cm and b=…

A: The centroid of the bounded region: The centroid x¯-y¯ of a region bounded by the graphs of the…

Q: Find the area of the region bounded by the curves x=y^3 and x=4y

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