Find the area bounded by the ff. curves and lines: y = 6x - x^2 y = x^2 - 2x •Pls answer with completw and detailea solution •Skecth the graph of the curve with labels

Q: Find the area bounded by the given curves, axes and/or lines 2. y^2=x, y=x

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Q: Find the area of the region bounded by the x and y axes. the line x = 2. Show your complete…

A: Using double integral in Cartesian coordinates.

Q: Find the area bounded by the ff. curves and lines: y = 4/x   ,   y^2 - 4y + 2x = 5 •pls answer…

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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: Find the area bounded by the curve y=1/x and the lines 2x-y=0, x=6 and the x-axis

A: Given the region is bounded by the curve y=1x and the lines 2x-y=0, x=6 and the x-axis.

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: Determine the area enclosed by the curve y=5x2+2, thex-axis and the ordinates x=0 and x=3. Find also…

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

A: The graph is shown below:

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 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 of the region of the enclosed by the curves y = 39 – x² and y = x2 – 33.

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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 of the region between the curves y = |x| and y = x² – 2. Area between curves =

A: Given : Two curves y = |x| and y = x² - 2

Q: Calculate the area A of the region between the two curves x = y +2y and x = y + 12. (Express your…

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Q: Find the area of the four-cusped hypocycloid x3 + y3 = 4. Show complete solution of points of…

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

A: Area between the curves:   If f(x) and g(x) be the continuous function on closed interval [a,b] and…

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

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

A: Given curves are, y=3x and y=9x2.

Q: Find the area of the region between the curves y = 12 - x² and y = x? – 6. - Area between curves =

A: Given curve :

Q: Find the area of the region enclosed by the graphs of y^2 = x+7 and y^2 = 5-x.

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Q: Find the area of the region between the curves 4x + y = 12 and x Area between curves = %3D

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

A: Our objective is to find total area of the region bounded by y=2x,the x-axis,and the lines x=2 and…

Q: Find the area of the region bounded by the curves: y = 5x y = 5/x Area = Check

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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: Use the rectangles in each graph to approximate the area of the region bounded by y = 5/x, y = 0, x…

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Q: Determine the area enclosed by the curves y=-x² + 4x and y =-x +4. Draw a sketch of the graphs on…

A: The given curves are: y=-x2+4x and y=-x+4

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: Find the area of the region between the curves y = 12 – x and y = x* – 6. Area between curves =

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Q: Find the area of the region bounded by the curves x=y3 and y=x2.

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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: 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 in the first quadrant bounded by the line y=5​x, the line x=5​, the…

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Q: Find the area of the region bounded by the graph of the function y = the x-axis, and the lines x = 4…

A: Definition used-                 The area under the curve of a function f(x) is given by -…

Q: Find the area bounded by: x = −√y , y = 1, y = 4, and the y-axis. Draw the curve and label the…

A: To find the area bounded by the curve, the formula Area=∫abf(y)-g(y)dy is used. Here f(y)=-y and…

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

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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: 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: Decide whether to integrate with respect to x or y.  y = x3 − 7x,  y = 9x   Find the area of the…

A: Area of the shaded region by the curves :        If f(x) and g(x) are two continuous function and…

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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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.