Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y 3 5

Q: Find the area of the shaded region. NOTE: Enter the exact answer. x = y 1 x = y2

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Q: Find the area of the region enclosed by the graphs of: y = x and (y- 2)² = x + 4 . | 25 A) 2 25 B) 3…

A: Given:     curves y=x and y-22=x+4     here x=y and x=y-22-4

Q: Find the area of the region lying to the right of x = y? -4 and to the left of x = 2-y².

A: Use given curves x=y²-4  => y²=x+4 is a parabola  with axis of symmetry is (-4,0) And x=2-y²…

Q: Determine which graph corresponds to the area enclosed by the curves y = 3a and y = 2 + 2. 5- 8-…

A: Given the curves are  y=3x2 and y=x2+2.

Q: Find the area of the region enclosed by the graphs of: y? = 15 – x and x = 6. %3D

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Q: Areas of regions Find the area of the following region.

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Q: Find the area of the shaded region. y 2 x = y - 6 y=1 x= -4 -2 2 4 H y = -1 -3 2. 3.

A: Given two curves x=y2-6 and x=ey To find the area of shaded region bounded between y=-1 and y=1

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x2 +2 A 2 y = x

A: Given curve is y=x2+2 and y=x

Q: NOTE: DRAW THE FIGURE Determine the area of the region bounded by: 2) y = zVF+1, y=ez=-3 and the…

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Q: Sketch the region enclosed by y=4x and y=5x^2. Find the area of that region

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Q: y 4 A y = 4* 3 2 y = 2* 0.5 1

A: Given query is to find the area of shaded region.

Q: Find the area of the region described. The region bounded by y = 12,288Vx and y = 192x? The area of…

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. A = 4 y = x² + 4 y = x x

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Q: Find the area of the given region using any method. y 1 49 - x² y

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Q: 12. Find the area of the region enclosed by x = 8 – y² and y = 2 – x. Draw the region.

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Q: Find the area of the shaded region, if it exists. (If an answer does not exist, enter DNE.) y -6 x…

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Q: Find the exact area of the region enclosed by a = t - 9t and y = 4t/2 and the y-axis. Be sure to…

A: To Find: The area of the region enclosed by x=t2-9t and y=4t1/2 and the y-axis.

Q: Find the area of the region described. The region bounded by y=4,096 /x and y 64x The area of the…

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Q: Sketch the region bounded by the graphs of the equations, and find the area of the region. 8(x) =…

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Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question: a) Find the total area between the region and the x- axis. y x-3x2 + 2x -1<xs2

A: To determine the total area of any curve: Draw the curves Determine the bounded region. Now, using…

Q: y = x² ; y = 8 – x²; 4x – y + 12 = 0

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Q: Find the area of the region bounded by the graphs of the given equations. y = 4x+5, y =x? The area…

A: Given curves are, y=4x+5y=x2

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

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Q: 2. Fmd the area of the loop of the given cierve y' = (1-x²)ª

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Q: Show the area, graph the curves and lines, show the representative element. y = 4/x, y^2 – 4y + 2x =…

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Q: Find the area of the given region.

A: Integration is used to find the area under a curve. So, on integrating the function y=x-x2 from x=0…

Q: Find the area of the region. 2 16 x y =

A: To find thae area of the given region

Q: Find the area of the given region. y = 1/x2

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Q: Draw the figure showing the region and find the area of the region bounded by the curves. y = 4x –…

A: Area of the region is obtained by definite integral . There are two ways of finding area , first…

Q: Find the area of the region bounded by y²= 8x and ? = x please include graph and solution

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Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x² + 1 A y = x 4

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

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

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Q: Find the area of the region described in the following.  The region bounded by y = x3 and y = 9x

A: It is given that, the region bounded by y = x3 and y = 9x We have to find the area of the region.

Q: Find the area of the shaded region. y 3- x= y - 6 y = 1 (x = e' -2 2 4 H y = -1 2. 2. 3.

A: Consider the graph

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x² + 2 A y = x 2 3 ||

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Q: 2 Sketch the graph of y = 0.5x +2. Find the area between your line, the x-axis and the lines x = 0…

A: The slope-intercept form of a line is given by the equation y=mx+c. Here, m represents the slope…

Q: Find the area of the region bunded by the graphs of the given equations.     y= 2x+15 y=x^2…

A: Given Data: Equation 1: y=2x+15 Equation 2: y=x2 The figure below indicates the area bounded by the…

Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x? - 6. Answer: A =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (c). Find the area of the region enclosed by the graphs of y=\x+3,x=-3 and y=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.…

A: Find the area

Q: Find the area bounded by the following curves. у 34x, у %3D0, х%32 The area is (Simplify your…

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Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x² + 4 A = y = x

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Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes. Draw the graph

A: Given query is to find the area bounded by the line.

Q: Find the enclosed area by the curve with equation y = x² - 9 and the X-axis in the region [−1, 2] 24…

A: In this question, we want to evaluate the area of the region enclosed by the curves y=x2-9 and X-…

Q: Sketch the graph and find the area of the region that lies inside both r = 1 and r = 2sin0.

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

Q: What is the area of the shaded region in the graph below? x = 2y – y? 1 2.

A: Given curve is x=2y-y2  and interval [0,2]

Q: Find the area of the region inside the circle r 6 and above the line %3D r= 3 csc 0.

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