Sketch the region bounded by the graphs of y%3= 1 and y=D4-3x, then find its area.

Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y-3 0.

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Q: Find the area of a region bounded by the curves y=e^(2x) - x^3 , the y-axis and x=1

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Q: Draw the graphs and find the between the area curves f (x) = (-1)**'x² + (-1)**' (b+3)x+(-1)°(c+5)…

A: This problem is an application of Definite Integrals and I find the area enclosed between the curves…

Q: : Find the area of the region in the first quadrant that is bounded above by y x and below by the…

A: SOLUTION-

Q: Find the area of the region bounded by the curves, x = -6, x = 6, the x-axis and the parabola x² +…

A: Graph:

Q: Find the area A of the region between the graphs of the equations y² = 3x x2 = 3y

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Q: Calculate the area of the region. Round your final answer to 3 decimal places. The region inside of…

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Q: Find the total area of the region between the curve and the x-axis. y= 2x-x2; 0sxs2

A: Explanation: Given curve is: y=2x-x2 Here x is from 0 to 2 To find the total area between the curve…

Q: Calculate the area of the region bounded by the graphs of the given equations. x 2y2- 4, x = y2 + 5…

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Q: In the given question , sketch the region bounded by the graphs ofthe equations and find the area of…

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Q: Sketch the region A= {(x, y)|(y>-log, x)^(y Sx²)}.

A: The region,  A=x,y|y>-log2x∩y≤x2

Q: Find the area of the region bounded by the graphs of the equations: x = 4 – y? x = y – 2

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Q: Sketch and shade the region y = x² – 1, hence find the total area between the given curve and the…

A: The standard form of a parabolic function is where (h, k) is the vertex. This standard form is also…

Q: Find the area of the region in the first quadrant that is bounded above by y = √x and below by the…

A: Now the diagrammatic representation of the area is,

Q: Find the area of the region bounded by y=0 and y = -5x + x6

A: We first sketch the region using a graphing calculator

Q: y2 = 4 – x and y² + y = x + 2

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Q: Find the area of the region above the curve y = x^2 - 6, below y = x, and above y = − x.

A: Given region bounded above by  y=x2-6  and y=-x  and bounded below by y=x

Q: Find the area whose region is bounded only by the graphs y + 1 = - x^2 + 7, and y - 3 = ( x - 2 )^2…

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Q: Find the area of the region between y² = x and x = y +2.

A: Given,  y2 = x   and  x = y+2  We have to find the area of region between y2 = x   and  x = y+2

Q: Sketch the region bounded by the graphs of the equations g(x) = 4 / (2 − x),     y = 4, x = 0and…

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Q: Find the area of the region bounded by the graphs of the equation y = x and y= x².

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

A: Given: y=x1+ex2, y=0,  x=2

Q: Find the area of the region bounded by the graphs of the given equations. y =– x- 3' y = 0, x = 4, x…

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Q: 9. Find the area of the region bounded by one loop of the curve x? = y*(1– y2)

A: Use substitution method  And sin2t=2sintcost , sin²2t=(1-cos4t)/2

Q: 5. Calculate the area of the region enclosed by the graphs of y = 2r- r and y = 0.

A: We first find where they meet Plug y=0 in y=2x-x2 and solve for x

Q: Find the area of the region bounded by the parabola y^2=x+3 and the line x - y = -1

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Q: The area of the region bounded by the curve y=e, the x-axis, the y-axis, and the line x 2 is equal…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

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Q: Find the area of the region bounded by the graphs of the given equations.   y = 3x + 18 , y = x 2.

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Q: Graph the equations and shade the area of the region between the curves. y - e, y-e4x - 3 and x- o…

A: first, we will draw the graph of the function y=ex and y=e4x-3 and then evaluate the area under the…

Q: Find the area of the region bounded by the graphs of y2=1-x and 2y= x+2.

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Q: b) Find the exact area of the region enclosed by the curve y = x² – 3x, the x-axis and the vertical…

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Q: Calculate the area of the region that lies under thecurve and above the  x-axis. y =1- x2

A: The graphical representation of the area is,

Q: Find the area A of the portion of the region between the graphs of and y =| x + 2. that lies in the…

A: According to the given information, it is required to determine the area A of the portion of the…

Q: Find the area of the region bounded by the given y = 4ax, y = 4ax°, a > 0

A: The given curves are  y = 4ax y = 4ax3 Intersection point of both curves 4ax = 4ax3 4ax(x2 - 1) = 0…

Q: y² = x y = x³

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Q: Find the area of the region between x = y3 and x = 3y — 2.

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Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

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Q: Find the area of the region between the curves x=((y-2)^2)/3 and y=8-x shown in the following…

A: Explained below

Q: Sketch the region A={(x, y)|(y< log, x)n ys s}.

A: Explained below

Q: Graph the region bounded by the curves y = e%z z, y = 2, x = 0, and x = 2 and find the area of this…

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Q: Sketch the region A= {(x, y)|(y2-log, x)U(x + y² < 4)} .

A: Here,we have given two regions or two functions now we have to sketch these two regions.

Q: Find the area of the region enclosed by the graphs of x + (y – 1)² = 1 and 2x = -y?.

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Q: Sketch the region below the curve y = x – x² and above the x-axis and find its area.

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Q: 1. Find the area of the region bounded by the graphs of the equation Y = x and y = x2.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the area of the region between y2=x and x=y+2

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

Q: Sketch the graph of the given curves and find the area of the region bounded on the left by the…

A: Graph of x=3-2y2, that is gy=3-2y2 is a parabola as function g(y) is in the form of quadratic…

Q: Find the area of the region bounded by the graphs of the given equations. y = 1-x, y = 1-4x

A: Given: Equations: y = 1-x2, y = 1-4x To Find: Area of the region bounded by the graph of the given…

Q: Find the area of the shaded region. У 3 x = y - 2 y = 1 x = ey -3 -1 y = -1 -3 3. 2. 2. 2.

A: To find the area of the shaded region which is bounded by the below functions.