Find the area of the region between y = 4x² and y = a? + 2.

Q: Find the area of the region. y = x2 − 3x,  y = 4x

A: First graph the given curves.

Q: Find the area of the region bounded by the curves.  y = 8x2 and y = 1x

A: To find: The area of the region between the curve y=8x2 and y=x. Formula used: The area between the…

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

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Q: 4 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

A: See below attachment.

Q: Find the area of the region between the line y = 2x and the curve y = x²+ x – 2

A: y=2x --------(1) y=x2+x-2 -------(2) For points of intersection…

Q: Find the area of the region bounded by y=x^2, the x-axis and the line x=2.

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Q: Find the area of the region between y = 5x“ and y = x- + 6.

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Q: Find the area of the region bounded by y = ex and y = 12 − ex and the y-axis.

A: Given, y=exy=12-ex and the y-axis   Find the area bounded by the region:

Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: Find the area of the region between y = x2 and y =  -x2 + 18x.

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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 the region between the curves 4x + y^2 = 12 and x =y.

A: 4x+y2=12    and  x=y

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: 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 enclosed by the line y=4x and the curve y=x³ + 3x².

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Q: Find the area of the region bounded by y = 10x + 4, y = -10x + 3 and x = 14. Leave your answer…

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

A: Given x=2y and x =y3-yThe area between f(x) and g(x) are two continuous functions and  f(x)≥g(x)  on…

Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: . Find the area of the region bounded by the curves y = 2x? - 8x + 12 and y = -2x+ 12.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find.

Q: Find the area of the region bounded by y = 9x + 8, y = -3x + 4 and x = 14. Leave your %3D answer…

A: Area between curves

Q: Find the area of the region bounded by y^2 = 8x and y = 2x.

A: y2 =8x -----equation(1)y =2x -----equation(2) Squaring both side equation (2) ,we get y2 =4x2 Now…

Q: ² = 2x, x – y = 4.

A: Topic = Application of integration

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 of the region between the line y = −x and the curve y = x2 + x − 3

A: Area of the region is 32/3

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

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

Q: Find the area of the region bounded by y = 4x + 9, y = -6x + 9 and x = 14. Leave your answer correct…

A: Area of region bounded by given curves are evaluated.

Q: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

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 y = x; y 8-x' and y 4x +12.

A: It is given that, y=f1(x)=4x+12,y=f2(x)=8-x2,andy=f3(x)=x2 Area under the bounded region can be…

Q: Find the area of the region bounded by y = 13 / (49 − x2) and y = 1.

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Q: Find the area of the region enclosed by the line y=4x and the curve y= x3 + 3x2

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Q: Find the area of the region between the line y = 2x and the curve y = x2 + x − 2

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Q: Find the area of the region bounded by y O and Y – 8x8 + x°. -

A: First find intersection point of y=0 and y=-8x8+x9 by equating each other  ∴ -8x8+x9=0…

Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis.

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Q: Find the area of the region bounded by the two curves. y = x2 + 3 y = 7x + 3

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Q: . Find the area bounded by y = (11 – x), the lines 3x=2, x=10, and the x-axis.

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

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Q: Find the area of the region bounded by y = 6x-x? y=2x

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Q: Find the area of the region.  y = x2 − 2x,  y = 5x

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Q: Find the area of the region in the first quadrant that is enclosed by the curves x=y, y=x-, and the…

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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^2= 8x and y = 2x.

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Q: Find the area of the region in the second quadrant bounded by y= -x and y=x^4

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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: find the total area between the region y=3x^2-3, -2< x < 2 and the x axis

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Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

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Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

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Q: Find the area of the region between the curves y=|x| and y=x^2-2

A: Proceed as shown...