3. Set up, BUT DO NOT EVALUATE, the area of the region bounded by y = csc x + 2 and y = 4 when 0

Q: Find the area bounded by the graphs of y = 4- x^2 and y = x - 5 between x= 0 and x= 2. Sketch the…

A: Given query is to find the the area of region bounded by the curves.

Q: find the region bounded by x= Y-y3 ,X=1 = 1 Y=L, revolved about o X- axis

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Set up the integral of the area of the region bounded by the curves x=-y2+2 and x=y2-2

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Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: 1. Draw a picture of the region bounded by the curves y=x² -9 and y = –8x. Then, SET UP – BUT DO NOT…

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Q: 3. Find the area bounded by the curves x2 + y2 = 9 and 4x2 + 9y² 36, on the first quadrant.

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Q: The lower, upper limit in the evaluation of the area of the region bounded by the two curves y = x…

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Q: Set up an integral representation of the area of the region bounded by: y=x3 and y=4x in the first…

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Q: Find the area of the region bounded above by y = e x  , bounded belowby y =  x , and bounded on the…

A: Here the objective is to find the area of the region (A) that is bounded above by y = ex and bounded…

Q: Sketch the region bounded by the graphs of the following functions and find the area of the region.…

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Q: Consider the region bounded by the parabola y=4-x^2 and the x-axis. Set up a definite integral to…

A: Consider the following equation of curves: y=4-x2y=0 Points of intersection: 4-x2=0x2=4x=2,-2…

Q: 3 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

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Q: find the area of a region bounded by the curves y= x^3, y= x ln(x^2), x=1 and x=2

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Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

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Q: 4) Find the area of the region bounded by the curves y = 2x, y = sin x, x = 0, and a = Make 2 sure…

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Q: 1: Find the area of the region bounded by the graphs of x = y², y = x + 3, y = -3 and y = 2.

A: The region is bounded by x=y2, y=x+3, y=-3 and y=2

Q: 9. Find the exact area of the region bounded by y = x² – 2x + 1 and y = 7 – x

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Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

A: Solutions

Q: 1. Find the area bounded by y = 4x-x, x+2 = 0 and y = 4 using vertical and horizontal strip

A: Solution is given below:

Q: Sketch the region bounded by the graphs of the following functions and find the area of the region.…

A: To find- Sketch the region bounded by the graphs of the following functions and find the area of the…

Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

A:

Q: If vertical element is used to find the area bounded by y=/x, x= 4 and the x – axis, the lower and…

A: y=x

Q: 1. Find the area of the region enclosed by the line x = 2y and the curve x = y - y?

A: We will find out the required area.

Q: .2 What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis…

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Q: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

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Q: Show the setup of the definite integral/s that will give the area of the region bounded by y = x2 −…

A: (a). From the given curve the bounded region is as shown below;   Now taking the vertical strip…

Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

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Q: To determine the area of the region bounded by x = y²-y-6 and x = 2y +4 first we have to calculate…

A: Given that curve x=y2-y-6 and                x=2y+4Solution :we have to find limits of the graph the…

Q: 2. Find the area of the region enclosed by the curve =x- 4 and y = x - 2.

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

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Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

A: Integration

Q: 4.Find the area of the region bounded by the curves y = x² – 2x and y = x.

A:

Q: 3 Find the area of the region bounded by 2x = y²+1 and the y-axis using the horizontal strip.

A: The given region is bounded by 2x=3y2+1 and the y-axis.

Q: Find the area of the region bounded by the given curves. y = 3x2 In(x), y = 12 In(x)

A: Find the area bounded by these curves.

Q: 4. Find the area of the region bounded by y = sin x) and y = x² – 8x. Be sure to provide a graph of…

A: The region is bounded by,      y=sinπ8x and y=x2-8x

Q: 4. Find the area of the region bounded by the curves x-y² = 0 and x+2y² = 6.

A: Hence, the area of the region bounded by the curves x-y2=0 and x+2y2=6 is 82 square units .

Q: Find the area of the region bounded by the given curves. y = x², y = 4x – x² - ly=x²

A: We have to find area of bounded region.

Q: Find the area of the region that is completely bounded by the two curves f(x) equals X^3-4X+21 and…

A: Given, f(x)= x³-4x+21 g(x)= 12x+21

Q: Calculate the area of the region bounded by the f(x) = 2x² ve g(x) = x* – 2x2 curves?

A:

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

A: Graphically: Now, the area can be found as the following.…

Q: Find the area of the region bounded by the graphs of y = x +6x, x = 0, x = 2, and the x-axis.

A: Answer

Q: Set up the integral representing the area of the region between the curves -1, x = 4, y 2x - x², and…

A: As asked we only need to setup integral to find the area between the curves (shaded region)

Q: Find the area of the region bounded above by y = x^2 + 1, bounded below by y = x, and bounded on the…

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Q: Set up integrals to find the area of the region between f(x) = (x-4)5 and g(x) = x-4. (integrals…

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Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: limit of integration

Q: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

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Q: 4. Find the area of the region bounded by the parabola x=y^2 +2 and the line y=x-8 *

A: Given curves are x=y2+2, y=x-8 We have to find the area bounded by this region.

Q: y=√x, x = 4, and the x-axis.

A: Consider the given function y=xand the x-axis

Q: While evaluating the area of the region bounded by two curves V/y = x and y – 10x + 21 = 0, the -…

A: We will find interesting points.

Q: Identify the definite integral that represents the area of the region bounded by the graphs of y = x…

A: We have to find the definite integral that represents the area of the region bounded by the graphs…