Find the area bounded by the ff. curves and lines: y = 4/x   ,   y^2 - 4y + 2x = 5 •pls answer with complete and detailed solution •Sketch a graph of the curve with labels

Q: Iwo curves having an equation of x = 2Vy and Compute the area between the two curves.

A: Given,          x=2y    and    y=2x

Q: Sketch the region enclosed by the curves and find its area. y = 4x² ,y = 4Vx,x = - 1 - and x = 1…

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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 area in the first quadrant bounded by the curves y = x/2, y = 4x and y x2 You need to draw…

A: The graph of the bounded region(shaded region) in the first quadrant is given below.

Q: Find the area of the region enclosed by the curves y=x2 and y= 6x-x2.  Show the area on the graph.…

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Q: Find the area bounded by the curves: y=2/x-3 , y=0, x=4, x=5. Please solve in hand written thank…

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Q: By integration, determine the area bounded by the curves y = 6x – x2 and y = x2 – 2x.  Show full…

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Q: Find the area bounded by y = 4x -x^2 and x = 0, and y = 4 using two methods (vertical and horizontal…

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Q: Find the area bounded by the curve y = ex, y = e-x and x = 1, by integration. Show full complete…

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Q: Find the area bounded by: x^2 + 4x + y =0 and x + y = 0. Draw the curve and label the graph.

A: Given, x^2 + 4x + y =0 and x + y = 0.   or y=-(x2+4x) and y=-x

Q: Find the area bounded by the graphs of the indicated equation y = x2 - 5; y= 4; 0sxs3 The area is…

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Q: Find the area of the region bounded by the curve y=x²-3x²-x+3 and x-axis from x=-1 to x=2. (Note:…

A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

Q: find the area bounded by the given curve y=2x-x^2 and y=

A: The area bounded by the two curves is given by ∫abf(x)-g(x)dx where f(x) and g(x) are two curves on…

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

A: This question can be solved using the concept of area under curve.

Q: Find the area between the curves y = 3 - x and y = x2 - 9: Exact value, show all work for full…

A: Given: y=3-xy=x2-9 To Find: Area between the given curves. Concept: i. If f(x) and g(x) are two…

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: Find the area bounded by the curve y = 2x + x² – x³, the x-axis and lines x = 0 and x = 1. %3D

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = 1/x2,…

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Q: Find the area of the region bounded by the graphs of the equations                y = 6x2 / (x3 − 2)…

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Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve.…

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Q: Find the area between the curves:  and  y= -x2+4x+2 and y=x2

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Q: curves and calculate area. y=4-x^2, y=0

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Q: area of the curve: x=y^2+8 ;x

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Q: Find the area between the curves y = 3  x and y = x2 9:

A: Given curves are, y=3x and y=9x2.

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

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Q: Find the area enclosed by the given curves. Find the area of the region in the first quadrant…

A: Graph the given curves

Q: Solve by integration: What is the area of the region enclosed by the curve y=x^2 and the lines…

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Q: Find the area of the region bounded by the curves y = xe3x-+3 x-axis and the lines x = 0 and x = 1.…

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Q: Find the area bounded by the ff. curves and lines: y = 6x - x^2 y = x^2 - 2x •Pls answer with…

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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Q: Find the area bounded by the given curves, axes and/or lines 1. y^2-3x+3=0 and x=4

A: As per our company guidelines, we are supposed to answer only the first question. Kindly re post the…

Q: Find the area of the region bounded by the parabola x^2 + y + 4 = 0 and the line y = −8 by taking…

A: Find the area of the region bounded by the parabola x^2 + y + 4 = 0 and the line y = −8 by taking…

Q: Determine the area of the region enclosed by the curve y = x2 – 2 and line y=2

A: Given that y=x2-2 and y=2To determine the area enclosed by the curve.Solution:

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

A: Given function, y=e-2x+ 2 , y=0, x=0 and x=2we have to find the area of the region bounded by the…

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: 6. у? - бу %3D - х Y2 – 2y = x %3D

A: To find the area between the curves

Q: Find the area of the region bounded by the curves: y=x^2+2x  and y=-x+4

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Q: Please kindly find the area between the graph of y=2-ex and the x- axis on [0,1]

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Q: Determine the area enclosed by the curves y =-x + 4x and y =-x+4. Draw a sketch of the graphs on the…

A: The shaded region represents the region enclosed by the given two curves.

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Find the area bounded by the curve y = 4x - x2 and y = 3.

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: Topic = Application of integration

Q: Find the area between the curves of y=x^2+1 and y=x+7 from x=-2 to x=3. I keep getting different…

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Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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Q: Find the area bounded by the curve y=x^3-4x and the x-axis. Sketch the curve indicating the area…

A: Topic = Application of integration

Q: 48. Bounded by the curve y = 2/, the æ-axis, and the lines æ = 0 and æ = 16

A: Area under curve

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: Find the area between the curves y = x² and y = 9x-2x². Draw a rough sketch of the %23 curves and…

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Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. Show solution and…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.