Find the area of the region enclosed by the given curves.   y= x^2, y=4, x=0, about the x-axis

Q: . The volume generated by revolving about the y-axis the region enclosed by the graphs y=9-x² and…

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

A: Here we have to find the area.

Q: Sketch the region enclosed by the curves and find its area. y = x, y=3x, y= -x + 2 AREA =

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

A: The given region area: y=7x2, y= x2+5

Q: Find the area of the region enclosed by the curves between their intersections. y= - 5x? and y = -…

A: We first sketch the region using a graphing calculator.  We find the point of intersections by…

Q: Determine the volume of the solid formed when the region enclosed by the curve y=√x, the x-axis and…

A: To find the volume of the solid formed when the region enclosed by the curve  y=x, the x-axis and…

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: We will find the volume of the solid as following.

Q: Solve by integration and please show graph: Let R be the region bounded by y=-16+10x-x2 and y=0.…

A: To find the volume of the solid generated by rotating the region bounded by below curves about the…

Q: y=x^2-2x, y=3x+6

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

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Q: y = 4 + Vx, y = 0, x = 0, and x = 16

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Q: Determine the volume of the solid formed by rotation about the y-axis of the region bounded by the…

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Q: Find the volume of the region bounded above by the sur-face z = 9 - y2 and below by the rectangle R:…

A: our objective is to find the volume

Q: Find the volume of the Solid generated by revolving the region bounded by y = -2x? and y = x2 - 3 ,…

A: According to the given information it is required to find the volume of the solid generated by…

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

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Q: Find the volume of the solid generated by rotating the region bounded by f(x) = 2 - x², g(x)=√1-x²,…

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Q: Find the area of the region bounded by the curves y = 1/x , y = x and y = 4x in the first quadrant.…

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

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Q: Find the exact value of the volume of the solid that results when the region bounded by the given…

A: Apply the disc method to find the area of revolution around the x-axis, V=∫abπy2dx From the figure,…

Q: Determine the area of the region bound by y=x+1, y=4^x +x-3, and the y axis

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = 1 and y =…

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Q: Find the volume of the solid formed when the region bounded by the graph of​ f, the​ x-axis, and the…

A: Given: f(x)=x0≤x≤12x-41<x≤4-2x+154<x≤5Formula: Volume =π…

Q: Find the volume of the solid formed by rotating the region enclosed by y = ln ( x − 3 ) , y = 0 , x…

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Q: Find the area of the region bounded by the graphs of the equations. y = x - x', x = 0, x = 1, y = 0…

A: We need to find the area bounded by the curves is : Area=∬Rdydx

Q: The area bounded by the curve y^2=4x and the line 2x-y=12 is revolved about the y axis. find the…

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Q: The area bounded by y=x, the line x=2, and x-axis is revolved about the line y=4. Find the volume.

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Q: Find the exact value of the volume of the solid formed by revolving the region bounded b the graph…

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Q: Decide whether to integrate with respect to x or y. Find the area of the region.   6x+y2=16,   x=y

A: here we have a y2 term so we will  integrate with respect to y the first equation is 6x+y2=16…

Q: Find the exact value of the volume of the solid that results when the region bounded by the given…

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Q: Use integration and show your work to find the exact area of the region bounded by the curves…

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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 x or y.…

A: Since the equation of the form, y=ax2 is the equation of the vertical parabola passing through the…

Q: Sketch the region enclosed by the curves y = 5x and y = 5x2. List the points of intersection of…

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Q: The definite integral that calculates the area of the region enclosed by the curves y=4 - x² and y =…

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Q: Find the volume of the solid formed by revolving the region, bounded by the curves y=x^2 y=4x-x^2 ,…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Solution-Lets draw the curve and the lines and identify the bounded area.

Q: Find the area of the region in the first quadrant bounded by the line 5 and the x-axis. 2 y = 5x,…

A: We have to find the area of given region.

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

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: find the volume of the revolution of the area bounded by y=4x-x^2 and y=3 rotated about the y axis.

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve…

A: Find the volume of the solid that results when the region in the first quadrant bounded by the curve…

Q: The area bounded by the curve y = x3/4, the x-axis and the line x = 2 is revolved about the y –…

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: Find the area of the region bounded by the graphs of the equations                y = x + csc…

A: We first sketch the region using a graphing calculator

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find the volume generated by rotating the region in the first quadrant bounded by y=exy=ex and the…

A: Consider the equation for x∈0, ln 3: y=ex……1

Q: Find the area of the region bounded by y=x, y=-x2+3x, x=1, x=3. Make sure to sketch the curves and…

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Q: Sketch the region enclosed by the curves and find its area. y = x, y = 5x, y = -x +4 AREA =

A: Given that     y = x , y = 5x , y = -x+4 .

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

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Q: Find the area of the region in the first quadrant bounded by y = 2x + 5, y = -x + 3, y = x^2 + 1 and…

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Q: Decide whether to integrate with respect to x or y. Then find the area of the region. 2x + y2 = 8,…

A: Consider the region