Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x +y = 2 and the coordinate axes

Q: Draw the area bounded by function y = x^2 + 1 and line y = 5, then calculate the volume of the solid…

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Q: Determine the volume of the solid formed by revolving the area bounded by y² = 4x and x²= 4y about…

A: It is given that, y2=4x⇒y=2xand4y=x2⇒y=x24   Volume of solid formed by revolving the area bounded by…

Q: Find the volume generated by revolving the area bounded by the curve y = (1-x²)² and the x-axis…

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Q: Find the volume of the solid of revolution formed by revolving the region bounded by y = f(x) = 2x -…

A: The  given curve is y=2x-x2. The region is bounded by the given curve, the x-axis. The objective is…

Q: Find the volume formed by revolving about the line y = 2a, the area bounded by that line, the curve…

A: As per rule of Barbtleby we can solve only one question at a time and we can solve only three…

Q: Find the volume of the solid formed when the region bounded by the curve y² = x, the line y = 1 and…

A: y = x2 and y = 1 intersect when x = ±1.look at the image,  the outer radius, R, of the solid is…

Q: Find the volume of a cone generated by revolving about the y-axis the area bounded by the line…

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Q: The area bounded by the parabola x^2-2x+y=3, in the second quadrant about the line y=4. Find the…

A: Consider the given curve: y=-x2+2x+3 Here, the objective is to find the volume of solid formed by…

Q: Use the disk method to find the volume of revolution generated by revolving the region bounded by…

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Q: Find the volume of the Solid generated by revolving the region bounded by y = L and the lines x 0.25…

A: Since, you have asked multiple questions in a single request, we would be answering only the first…

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

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Q: Find the volume of the solid generated when the area bounded by the curve y = Vx, the y-axis, and…

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Q: find the volume of the region enclosed by the curves y=x^3 and y=sqrt x, rotated about the line y=1.

A: We first sketch the region using a graphing calculator  y=x3 (violet) y=sqrt(x) (black) y=1, (red)…

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

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Q: Find the volume of the Solid generated by revolving the region bounded by y = 1/, and the lines x =…

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

Q: Find the volume of the solid formed by revolving the area bounded by the parabola y2 = 9x and the…

A: We want to find the area bounded by the parabola y2 = 9x and the line y = 3x about the y-axis.

Q: Find the volume generated by rotating the area bounded by 1 y = x = 2, x = 7, and y = 0 about the y…

A: To find the volume of the solid generated by rotating the area bounded by y=1x3+5x2+4x, x=2 , x=7…

Q: Find the volume of the solid generated by revolving about the x-axis, the area bounded by y = x3,…

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Q: y = 9x² and y = 0 about x = −4

A: Given:        y=9-x2 and y=0         x2=9           x=3 about x=-4

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: First we graph the region using a graphing calculator  the shaded region is rotating about the y=48…

Q: Find the volume formed by revolving about the x-axis the area bounded by the curve (x + 1)^2 = 4(x -…

A: Given data:- Equation of curve, x+12=4x-1 Line, y=4

Q: Find the volume generated by revolvingg the area bounded by the given curve and awd lines y = x', x…

A: Volume generated by revolving the area bounded by curve  y=x3  and line x=0  and y=8 (that is 8=x3…

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: y = x4; and y = 1 about y = 2

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Q: Find the volume of the solid generated by revolving the region bounded by x= square root (1-y^2) and…

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Q: Find the volume generated by revolving about the line x=0 the area bounded by the curve y^(1/2) =…

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Q: Find the volume of the solid generated when the area bounded by the curve y = vx, the y-axis, and…

A: Volume is the measure of the amount of space occupied by a closed surface. It is measured in terms…

Q: Find the volume of the solid generated by revolving the region bounded by the y = x2 and y=6x-2x2…

A: Given that y = x2 and y = 6x- 2x2 and we find volume about the y-axis and plot the graph. Here i…

Q: Find the volume generated by revolving the region bounded by y=sec(x), y= 3, x=pi/4, x=-pi/4, about…

A: Graphical representation of the region.

Q: Find the volume of the solid formed by revolving the region bounded by           y = x − x3 and the…

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Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

A: Your problem was not so clear. There are two different functions, the graph is not matching with the…

Q: Determine the volume of the solid formed by revolving the area bounded by y= X² and x=y² about the…

A: The formula for the volume of the solid formed by revolving the region bounded by the curves, y=f(x)…

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

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Q: Find the volume generated by revolving the area bounded by the given curve and a. y = x³, x = 0, y =…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the volume of the solid generated by revolving the region bounded by the x2 -y2 = 9; x+y = 9; x…

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Q: Find the volume of the solid generated byrevolving the region in the first quadrant bounded by the…

A: Using Shell Method:             2π∫01x.e-x dx Limits come from where the column can be created. (in…

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

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Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

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

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotat…

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Q: Find the volume generated by revolving the area enclosed by the curve x² + y = 25 about the y-axis.

A: We have the curve x2+y2=25 rotated about y-axis.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs the first…

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Q: find the volume of solid generated when the regions enclosed between the curves y=x^2 and x=y^2 is…

A: Given curves, y=x2andx=y2 To find the volume of solid generated by these curves about x - axis.

Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3,…

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Q: find the volume generated by revolving the area bounded by y = x^2 - 2x + 3 and y = 3 about the line…

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Q: Find the volume generated by revolving the area enclosed by the curve 4y² = 4x²-x+ about the y-axis.

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y=x^2+3 and…

A: The Washer Method : The volume of the solid generated by revolving about the x-axis a region between…

Q: Find the volume generated by revolving the area enclosed by the curve 4y² = 4x²-x* about the y-axis.

A: Hint: First obtain the values of x for which y is zero to obtain the limits of the integration. Now,…

Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

A: We have given the curves; 2x+y=2 and y=2x+x2-x3 Which generates the cone revolving about the y-axis.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.