Find the area of the region bounded by the parabola y = -x² + 4x - 3 and | its tangent lines at the points (0, -3) and (3, 0).

Q: The area bounded by the curve y 4x and the lines r = 6 ,x = 10 and a axis is

A: As per guildlines we can solve one question at a time. If you want answer of all please ask them…

Q: Find the area of ​​the region bounded by the y=x3 and y=2x-x2 curves.

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Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the area of the region bounded by the parabola y=5x^2, the tangent line to the parabola is at…

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Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

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

A: Note: As you asked only part (b) so, I answered here only part (b).

Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

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Q: Find the of the region bounded by the parabolas y – 6x = -x² and y + 2x = x² , area

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Q: Find the area of the region bounded by the parabola y = 3x2, the tangent line to the parabola at (3,…

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Q: The area of the region bounded by the curves y=x and y= 20-x² is

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Q: The area of the region bounded by the curves y =x and y= 20-x² is

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Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

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Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0 using a vertical element

A: The area is bounded by the given curves x3-y=0 and y+3x2-4=0. The main objective is to determine the…

Q: The area of region bounded by the parabola y2 = 4x and the line %3D y = 2x – 4 is

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4 .

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to x² - y = 0 at x…

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Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: Given query is to find the area of the region bounded by y=4+2x+x2  and x-axis from x=-3 to x=-1

Q: Find the area of the region bounded by y=2x2-3x+2 the x axis and the vertical lines x=0 and x=2

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Q: The area of the region bounded by the curve y= e", the x-axis,'the y-axis, and the line x 2 is equal…

A: We have to find the area of the region bounded by the curve y=e2x , the x-axis, y-axis and the line…

Q: Find the area of the region bounded by the curve y=x^3-3x^2+3 and the x-axis.

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Q: Find the area of the region bounded by the curves x = y3 - y2 and the line x = 2y. %3D

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

Q: Find the area between the curves. x = -5, x=2, y = 3x, y = x² - 4

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Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: The equation of the parabola is given by y = 4x2.Differentiate y = 4x2 with respect to x as follows.

Q: The area of the region bounded by the curve y= x3−3x2−x+3 and y=0 is

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Q: Find the area of the region bounded on the left by the curves y = e3x and y=3-x, and on the right by…

A: The area is the amount of space occupied by the surface. It is measured in terms of unit squares it…

Q: Find the area of the region bounded by the parabola y = 2x2, the tangent line to the parabola at (3,…

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Q: Sketch the region enclosed by the given curves and find its area. x = y4,  y = square root of (2 -…

A: We first sketch the region using a graphing calculator

Q: Find the area of the finite region bounded by the curve y = 12 + x - x2 and the line: y = x + 3.

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Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

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Q: The area of the region bounded by x = /9-y', the y-axis and the line x-y in the first quadrant is:

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Q: Sketch the region bounded by the curve y = x(x – 1) and the linear equatio x at (-1,2). Calculate…

A: Given: y=x(x-1)

Q: The area bounded by the curve y = 6x and the lines x = 7,x = 11 and x – axis ахis is

A: → y = mx is the equation of straight line passing through origin with slope m.→ Area of triangle =…

Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

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Q: Find the area of the region bounded by y=2x2-3x+2 the x-axis and the vertical lines x=0 and  x=2

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Q: Find the area bounded by the curve 2y2+2y-x-2=0 and the line x= 2y

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Q: Find the area of the region bounded by y=2x2 -3x+2 the x axis and the vertical lines x=0 and x=2

A: Given that a equation y(x) and we find area bounded by x=0 ,  x= 2  . Here i attached solution of…

Q: y = 2x 2 − 8x + 12 and y = −2x + 12.

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Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

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Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

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Q: Find the area of the region bounded by the curve y=x^2-3x the x-axis and the lines x = 1 and x = 2.

A: This question is based on application of integration.

Q: Find the area bounded by the curve 4y² + 16x – 15 = 0 and the linex = -1. %3D

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Q: Determine the area bounded by the curve y = x2 - 3x -6 and lines y =-4-x,x = 0 and x = -2.

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Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  Show full complete solution.

A: Given : Curve : y²= 4x              and line  2x+y=4 To find : Area between the curve and line

Q: The area of the region bounded by x = /9- y2, the y-axi first quadrant is:

A: Here we have to find the area bounded by the region x=9-y2 .....................(1), the y-axis, and…

Q: The region is bounded by the curve y = 4x – x², y = 4 and the y-axis.

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Q: Find the area bounded by the curves y=x4-2x2 and y=-x2+4 at an [-1, 1].

A: The region bounded by the curves y=x4-2x2, y=-x2+4 in [-1,1] is:

Q: Find the area of the region between the curve y =53-* and the interval [0,2] on the x-axis.

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