Find the area of the region bounded by the triangle with vertices (0,0), (3,4), (7,0). Explain your answer.

Q: Find the area of the region bounded by the parabola y² = 2x - 2 and the line y = x - 5. 16 17 18 19…

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Q: Find the area bounded by the curves y=8x-x2 and y=x2, and the line 4x-y=-12.

A: I have appended the formula used in the solution part.

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: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: Find the area of the region bounded by the graphs of the given equations. y =x+ 20, y =x? The area…

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Q: Find the area of the shaded region. Ay y =x - 2x3 y = 0 -1 2 -1- square units 2.

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Q: Find the area of the shaded region. y 3y= 2 x+ 16 (1, 6) 6 4 (2, 4) (-2, 4) y = 8 – 2x -4 -2 2 4 2.

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Q: The area of the region bounded by y = v9– x² , the x-axis and the line first quadrant is: O 9(n+2)/8…

A: Given: To explain the correct option of the given statement as follos,

Q: Find the area of the shaded region. y y=x² (-2, 4) -2 A = -4 6 4 2 (1,6) |3y=2 3y=2x+16 (2, 4)…

A: The area of region R which is bounded by the curves f(x) and g(x) between the lines x=a to x=b and…

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: I went ahead and sketched what I believe to be the answer but how would I find the area of the…

A: Given equations are y=−x2 + 2x + 2 x=−x + 2

Q: The area of the region defined by 1< |r – 2|+ \y+ 1| < 2 is а. 2 b. 4 c. 6 d. None of these

A: Here we will find the area of the region defined,

Q: Find the area of the region enclosed by x = y^2 + 2 and x = 2y+6

A: Please refer to the image below.

Q: Find the region bounded by the parabola x = y - 8 and the line y = x - 12. O 163.5 121.5 103.5…

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Q: Find the area of the region. f(x) g(x) x2 + 2x + 1 = 2x + 17 y 25 20 15 10 -8 -6 -4 -2 4 6. LO

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Q: f(x) = 3. 2. 14

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Q: Find the area between the graphs of the equations: y^2 = 4x x^2 = 4y

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Q: Find the area bounded by the parabola y^2 =4x and the line y=2x-4 * 9 sq. units 21 sq. units 11 sq.…

A: The area of the region bounded by the curves is defined as the integral of the upper curve minus the…

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

A: Follow the procedure given below.

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

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Q: Find the area of the region bounded by y = 4(x + 2), x = 2 and the x-axis. Answer:

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

Q: Find the area bounded by y= (11 - x)1/2, the lines 3x = 2 and x = 10, and the X-axis. 19.456 sq.…

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Q: Find the area of the enclosed region y=x^1/2 y=1/2x x=9

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Q: 30. Find the area bounded by the curve 5y²=16x and the curve y²=8x-24. A. 36 B. 25 C. 16 D. 14

A: Topic = Area

Q: find the area of the portion of the cylinder x²+z²=16 lying inside the cylinder x²+y²=16

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Q: Find the area of the shaded region. y y = 9x-x 20- 15- (7, 14) 1아 5- y= 2x 10

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Q: Find the area of the shaded region. y = -x3 + x2 + 16x and y = 4x %3D 30 254 20 IS 104 y 4x 20 25 30…

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Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e² 2 y = -1 4 X

A: Given graph:-

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

A: It is given that radius of circle is 50 feet.  The equation of the region is x2+y2=502; x≥0 and y≥0.…

Q: (b) By sketching the graphs, find the area of the region bounded by the parabola and the line, x2 =…

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Q: Find the area of the given region using any method

A: Given, figure we have to find the area of given shaded region

Q: Sketch the region 3 <r <5 where 2π/3 <0<4T/3

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Q: Find the area of the region enclosed by x = y² – 4y + 2 and x = y - 2.

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Q: Find the area of the region that lies outside the circle x^2+y^2=4 but inside the cicle…

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Q: 2 and y c2 – 2² is 440 then: If c > 0 and the area of the region enclosed by y = x c =

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Q: Find the Area of the region inclosed by x=y3 and x=y1/2-6

A: Please find the solution below:

Q: Find the area of the region enclosed by t 4x² + y = 4 and x* - y = 1.

A: Here we have to find find the area enclosed by the region 4x2+y=4 ...............(1) and…

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

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Q: Find the integral ∬Rx2ydxdy, where the region R is the segment of a circle. The boundaries of the…

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Q: Find the area of the shaded region. O A. 7.5 B. 12.5 8- ОС. 5 O D. 10 (3,7) 6- y = 2x + 1 4- (1,3)…

A: answer = 10   explanation is given in below step

Q: Find the area of the region bounded by the graphs of the equations. y = 5 + √√x, x=0, x=8, y = 0 59…

A: Given below figure is the required region whose area to be find.Area of teh region is calculate by…

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

A: Find area of region.

Q: Find the area of the shaded region. y 3y= 2 x+ 16 (1, 6) 6 4 (2, 4) (-2, 4) 2 y = 8- 2x -4 -2 2 4)

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Q: 4. Use integration to find the area of the triangle with vertices (0,0), (2,6), (1,8). А) 6.5 В) 4.5…

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Q: 3. y = x2 + 5x and y = 3 – x -

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Q: Find the area enclosed by the graphs of z+y = 4, z-- y = 0, y+3r = 4. 1. Area = sq. units 7 sq.…

A: Given, The equations  x+y = 4 ,  x-y =0  and   y+3x = 4 We have to find the area enclosed by the…

Q: Find the area A of the region between the graphs of the equations y2 x2 = 5x 5y = A = symbolic…

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Q: Find the area of the following region having the given boundaries: y = x3 – 6x2 + 8x x = 0,x = 4, y…

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