Find the area of the region bounded by y=x^2 and y=15-2x

Q: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

A: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

Q: Find the equation of the vertical line that divides the area of the region R bounded by 1 y = 20x2…

A: Identify the limits of integration from the given region, to calculate the area of the region. Here,…

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 bounded by the curve  y=2x2-3x+2  x axis and vertical lines x=0 and x =…

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Q: Find the area of the region bounded by the graphs of the equations. y = 4x + 2, x = 0, x = 2, y = 0

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Q: Find the area of the region bounded by the graphs of the equations. y = 8 + Vx, x = 0, x = 8, y = 0

A: Let's plot the graph : consider a vertical rectangle. So limits : y → 0 to (8 + x3 )x→ 0 to 8

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

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Q: Find the of the region bounded by the parabolas y – 6x = -x² and y + 2x = x² , area

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

A: Co-ordinate Geometry Question

Q: Sketch the region bounded by the graph of the equations and find the area of the region. x = y² -…

A: Solution

Q: Find the area of the region bounded by the graphs of the equations. y = 3 + Vx, x = 0, x = 8, y = 0

A: try to draw the curve first.

Q: Find the area of the region bounded by the graphs of the equations. y = 4 + Vx, x = 0, x = 8, y = 0

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Q: Find the area of the region that lies under the curve y = 4x-x over the interval 0<x<4. y = 4x - x

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Q: Find the area of the region bounded by the graphs of the equations. 3 y = 5 + Vx, x = 0, x = 8, y =…

A: The solution is given below:

Q: Find the area of the region bounded by the graphs of the equations.

A: If there are two curves given,say, f(x),g(x) over an interval [a,b] such that over this interval…

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: Calculate the total area of the region described. Do not count the area beneath the X axis as…

A: Given: Bounded by the curve.y=1-x2And the lines x=-1 and x=2

Q: Find the area of the region bounded by the graphs of the equations. y = 7x2 + 3, x 0, x = 2, y = 0…

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

A: the area is given by A=∫ab|fx-gx|dx here we have fx=7x g(x)=0 a=0, b=16

Q: Determine the area of the region bounded by x=--y2  +10 and x=(y -2)2

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Q: Find the area of the region bounded by the graphs of the equations.                 y = 8 − x,    x…

A: If f(x) is continuous on [a, b] then area of the region bounded by f and x axis is, A=∫abf(x)dx

Q: Find the area of the region bounded by the graphs of the equations.                y = x − x3,    x…

A: The graph of bounded region by the curves y=x-x3, x=0, x=1, y=0:

Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: Given query is to find the area of the region bounded by y=4+2x+x2  and x-axis from x=-3 to x=-1

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

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Q: Find the area of the region bounded by y=2x2-3x+2 the x axis and the vertical lines x=0 and x=2

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Q: The area of the region bounded by y = v9- x² , the x-axis and the line y-x in the first quadrant is:

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Q: Shade the area of the region bounded by the specified region using integration,

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Q: Find the area of the region bounded by the given curves. y = 9x2 ln(x),  y = 36 ln(x)

A: First of all, consider the given equations and assume them as f (x) and g (x). Equate f (x) = g (x)…

Q: Find the area bounded by the curve x = y² + 2y and the line  x = 3.

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Q: Find the area of the region between the curves y = x + 1, y = 9 – x², x = -1, and x :2. %3D Area…

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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: Sketch the graph of the curve y = (x – 7)(x – 7 – 1)(x – 7 – 2) Shade the area of the region bounded…

A: In the graph, the horizontal axis is x-axis and the vertical axis is y-axis. We need to find the…

Q: Find the area of the region bounded by the graphs of the equations. y = 2+√√x, x = 0, x = 8, y = 0

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Q: Use double integration to calculate the area of the region 2 encolsed ye and x+y=2.

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Q: Find the area of the region bounded by the graphs of the equations. y = 9 + Vx, x = 0, x = 8, y = 0

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Q: Find the area of the region bounded by y=2x2 -3x+2 the x axis and the vertical lines x=0 and x=2

A: Given that a equation y(x) and we find area bounded by x=0 ,  x= 2  . Here i attached solution of…

Q: Find the area of the region bounded by the graphs of the equations.                 y = 2√x − x,…

A: Given: The equations, y=2x-x and y=0.

Q: Sketch the region enclose by y=x2-9x+21 and y = -x2+11x-27. Decide whether to integrate with respect…

A: Given data is : y=x2-9x+21 and y=-x2+11x-27  To sketch the region.

Q: Find the area of the region which is bounded by y = sin x - 2, y = 4x, y-axis and x = 2. Leave your…

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

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Q: Find the area bounded by the curve x²=y+2 and the line x+y=0

A: Integrals and derivatives are considered as the inverses of each other. For example If we integrate…

Q: Find the area of the region which is bounded by y = sin x - 4, y = 4x, y-axis and x = 4. Leave your…

A: Please refer the attached image for complete solution. THANK YOU.

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

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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: Sketch the region between y=x^2 +x-2 and the x axis over the interval [-5,2]. Find the area of the…

A: Consider the given equation of the parabola, y=x2+x-2 To draw the graph of the bola first we need to…

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 10x, + 10x, y = 0

A: Clearly we can rewritten the equation y=- x2+10x  as                                        y-25= -…

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

A: Area under curve

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A: