3. Find the area of the region enclosed by the given curves. y = Vx + 2, 1 y = x = 0, x = 2 %3| x +1'

Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 21) Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1,…

A: We first sketch the region using a graphing calculator.

Q: #1 Find the area of the region between y=2x+ and y=x=4

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Q: 3. Find the area of the region in the first quadrant that is bounded by y=Vx , x-axis and y=x-2. |

A: 3) To find the area under the curve in first Quadrant

Q: 3. Find the area of the region in the first quadrant that is bounded above by y = vx and below the…

A: Solution

Q: 2. FIND THE AREA BOUNIDE O BY 2 y= x (2,4) and the X- axis THE CURVE

A: The given curve is: y=x2      .........(1)We have to find the area bounded by the curve y=x2, (2,4)…

Q: 12. Find the area of the region enclosed between the curves defined by the equations y = √(x + 2), y…

A: We have to evaluate the area of the region bounded by the curve y=x+2 and the line y=x using the…

Q: 1. Find the area of the region enclosed by the equations below. y = x² – 2x and y = x

A: Given function :

Q: y = 5x, [1,2]

A:

Q: Find the area of the region under the given curve from 1 to 2. 15 y = x3 + 4x

A: We have to find area under the region from 1 to 2

Q: 8. Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and…

A:

Q: 1. Find the area of the region bounded by y = x2 + 4, y = x, x = 0, and x = 3.

A: The equation of curves are C1: y = x2+4C2: y = xC3: x = 0C4: x = 3 To evaluate: The area of the…

Q: Set up the definite integral required to find the area of the region between the graph of y = 18 –…

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Q: Set up the definite integral required to find the area of the region between the graph of y = y = 4x…

A: Topic:- application of integration

Q: Set up the definite integral required to find the area of the region between the graph of y = x² –…

A: Given: y=x2-20 & y=2x-5 Now find the point of intersection between the given curves;…

Q: 10. Find the area of the region bounded by y = =.y = 1, and r = 3.

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Q: 10. Find the area of the region bounded by the graph of x = y² – 4y – 5 and the y-axis.

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Q: 1. Sketch the region enclosed by the given curves and find its area. y = x?, y = x*

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Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y

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Q: y x-3' y = 0, x = 4, аnd x = 3 + e

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Q: 1. Find the area of the region between the curves y=x -4 and y=2-x.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 3) Find the area of the region enclosed by the following line and the curve. y = x – 1 and y² = 4x +…

A: The graph for the given functions y=x-1 and y2=4x+1 is shown below.

Q: (4) Find the area of the region in the first quadrant bounded above by y = √x - 1 and y = x - 3.

A:

Q: 4/ Find the area of the region enclosed between the curves y= cos 2x, y=0, x=TT/4, x= TT/2 ? ans/…

A: The curve is given as y=cos2x The objective is to find the area of the shaded part.

Q: Set up the definite integral required to find the area of the region between the graph of y = x² –…

A:

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

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = x y =…

A:

Q: 7. Find the area of the region bounded above by the line y 3, below by the graph of y VT, between…

A:

Q: 4/ Find the area of the region enclosed between the curves y= cos 2x y=0, x=TT/4, x= TT/2 ? ans/ 1/2

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

Q: Set up the definite integral required to find the area of the region between the graph of y y = 6x +…

A: The area of the region between the graph of y=f(x) and y=g(x) is given by ∫abf(x)-g(x)dx, where a, b…

Q: 4. Find the area of the region bounded by y = sin x and y = sin? x between a = 0 and a =

A: The region bounded by y=sinx and y=sin2x between x=0 and x=π2 Note:    Multiple questions are given,…

Q: 1) Find the area of the region bounded by the curve y=3x•e-2* and the x-axis, for x>0. i) Rou imal

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Q: Find the area bounded by the given curves. y = 2x - x2, y = 2x- 4 32 O A. w/ 3 37 OB. 3 31 OC. 3

A: The objective is to find the area bounded by the given curves

Q: 2/ determine the area of the region enclosed between the curves x- and y=x-1? ans/ 18

A: Given problem is :

Q: 3. Find the area of the region enclosed by y = 2 sin x, y = sin 2x, and 0 <x < T.

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Q: 5. Find the area of the region bounded by y = e", y = e¬¤ and x = 2

A: We have to find the area of the region

Q: Find the area of the region enclosed by the given curves  y = 1/4x^2 y = 2x  x+y = 3 while x is…

A: I have done solution step by step in detail...go through the solution

Q: Calculate the total area between the given curves for 0 < x < ™. f(x) = cos(x), g(x) = 1– cos(x)

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Q: Set up the definite integral required to find the area of the region between the graph of y = x2 –…

A: Given query is to find set-up the definite Integral to find the area between two graphs.

Q: 1. yA 2. y=Vx (1, 1) x=4 s y=D1/x²

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 3/ Find the area of the region enclosed between the curves y= x³ and x= y ? ans/ 1/2

A:

Q: 4. Find the area enclosed by: a. y= sin(x) and y = cos(x), x= 0, x = and the y-axis.

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

Q: Find the area of the indicated region. Rounded to three decimal places Between y=ex and y=x for x in…

A: Find the area of bounded region.

Q: Find the area under the given curve over the indicated interval. y=x; [1, 2]

A:

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 between the curve y = e X and the x-axis from x = 0 to o. square unit -2x 1

A: GIVEN DATA : Equation of the curve y=e-2x        TO FIND : Area under the curve and the x-axis from…

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

A: The solution are next step

Q: 1. Find the AREA of the region bounded by y = y=x, and y = 5. Express the answer as an exact value…

A: Please see the explanation below