Find the area of a parallelogram bounded by the x-axis, the line g(x) = 2, the line f(x) = 3x, and the line parallel to f(x) passing through (6, 1).

Q: Find the area A of the region between y = 4x2 + 10 and y = 2x + 7 over the interval [-3, 2].

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Q: Find the area of the reglon bounded by the graphs of the equations. y = -x+ Bx, y = 0

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Q: Q2/ Find the area of a region bounded by the curve f(x) = 8x' and x-axis and the two lines x=1, x=3.…

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Q: Find the area of the region bounded by the line y = 2x − 5 and the parabola y = x2 - 4x

A: The objective of the question is determine the area between given line and parabola.

Q: Determine the area of the largest possible rectangle whose base is on the x-axis and the top two…

A: The given curve is y=9-x2

Q: Find the area bounded by the line f(x) equals 3X -1, the curve G(x) equals X^2-6X +7 , and the two…

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Q: Find the area bounded by the curve x^2 + 4y - 8 = 0, the x - axis, and the lines x = 3 and = 5

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Q: The area under the curve y = 3x bounded by the lines x = 3 and x = 8 above the х — ахіs is. - 192.00…

A: we have to find the area bounded by the given lines

Q: Find the area between the curves x² and 3x – 2

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Q: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3

A: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3.

Q: he area bounded by y^2=4x and the line 4x-3y-4=0.

A: In this question, the concept of Integration is applied to determine the area bounded by two curves.…

Q: What is the area of the region between y3Dx^2-2x-3 and the x-axis from x-D0 to x-6?

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Q: Consider the region bounded above by f(x)=7x2+3x−45 and below by g(x)=8x2+22x+45. Find the area, in…

A: First, we need to find the points of interesection of f(x)=7x2+3x−45 and g(x)=8x2+22x+45At points of…

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: Find the area bounded by the ff. curve and line: y = xe^– x , the x-axis and the maximum ordinate

A: The curve y=xe-x, we have to find the area bounded by the curve, the x-axis and the maximum…

Q: find The aea bounded by the and the line y-3* Eunve X-+4

A: A plane curve generated by a point moving so that its distance from a fixed point is equal to its…

Q: Determine the area bounded by: y2-12y-8x+28=0; and x2-4x+4y-20=0

A: The given equations: This can be rewritten as, To find the area bounded by the above equations:…

Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

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Q: Find the area bounded by the line f(x)=2x+2, the curve G(x)=X^2-6X +9 and the two vertical lines X=1…

A: Given:       fx=2x+2        gx=x2-6x+9        x=1,x=5 Area bounded by line and curve is:…

Q: Find the area bounded by the ff. curves and lines: a. y = xe^–x , the x-axis and the maximum…

A: To find the are bounded by the curves and lines: (a) y=xe-x, the x-axis and the maximum ordinate.

Q: Consider the region bounded above by f(x)=7x2+3x−45 and below by g(x)=8x2+22x+45. Find the area, in…

A: The given functions are,

Q: The area bounded by the curve y = 10x and the lines z = 7,x = 11 and a – axis is O 850 square units…

A: Given y=10x,x=7,x=11 and x-axis  Area= integral a to b f(x) dx  Let y=f(x)=10x then find area…

Q: Find the area of the region bounded by f(x) =|x^2−5x+ 6|, the x-axis, and the lines x=1 and x= 4.

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Q: Find the total area between f(x)=3x2-3 and the x-axis on the interval [-2,2]

A: Calculation:The given curve are f(x) = 3x2 – 3 and the x axis y = 0 on the interval [– 2, 2].The…

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: Find the area bounded by the curve x = y² + 2y and the line  x = 3.

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Q: Find the area lying between the parabola y = 4x – x² and the line y = x -

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Q: Find the area of the region bounded by the parabola f(x) = 16-x^2 and the lines  x=0 and x = 4 and…

A: Givenf(x) = 16-x2lines x=0, x=4 and x-axis(y=20)

Q: The area bounded by the curve y = 14.x and the lines x = 4 and x = 6 above the x- axis is 364 square…

A: Area=∫ab(upper curve-lower curve)dx∫xndx=xn+1n+1+C

Q: Find the area of the region bounded by y = 5-x2, y 2x+2, y=-x-1, a. in terms of x b. in terms of y y…

A: We will find out the required value.

Q: Find the area of the region that is completely bounded by the two curves f(x) = x* g(x) = 3x + 20. -…

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Q: Find the area of the region bounded by y = -4x + 9, y = 2x? – 11x + 9, and the lines x = -2 and x =…

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Q: 1. Determine the area of f (x) = 3 + 2x – x² and above the x axis. - X - 3x 3 3 2. Determine the…

A: To find the area of f(x) and above the x-axis, use the formula, A=∫-13f(x)dx and substitute f(x)…

Q: Find the area of the region enclosed by the curves f(x) = 7x + 1 and g(x) = 5x + 17, and the lines x…

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Q: Find the area bounded by y=2x-x^2 , the x – axis, and the lines x =0 and x= 4.

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Q: Find the area bounded by the curve 4y^2 +16x -15=0 and the line x=-1.

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Q: Find the total area bounded by the graph of y = x² + 2x and the x-axis on [-2, 2).

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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 between the curves x2 and 6x – 5

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Q: Find the area of the region bounded by the parabola y = -x² + 4x - 3 and | its tangent lines at the…

A: We have to find the area of the region.

Q: The area bounded by the parabola x² = 2y, and the line x - y = -4 is 18 square units. %3D

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Q: Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area of…

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Q: Find the total area bounded by the graph of y = x² + 2x and the x-axis on [-2,2].

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Q: Find the area bounded by the x-axis, the curve y = x² and the vertical line x = 3. and Find the area…

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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 bounded by the two curves f(x) = x2 – 8x + 8 and g(x) = - x² + 6x – 8, and the two…

A: The given two curves:fx=x2-8x+8 and gx=-x2+6x-8and the two vertical lines are x=3 and x=4.We need to…

Q: find the area of a parallelogram bounded by the y-axis, the line x=5, the line f(x)= 4+2x, and the…

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Q: find the area bounded by y = (2x - 3) / (x^2 + 4), the coordinate axes and the minimum ordinate

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Q: Find the area bounded by the line f(x) = 3x - 5, the curve g(x) = x² – 10x + 7, and the two vertical…

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Q: Find the area bounded by the curve f(x) = x³ + 3x² – 4x – 5 and x-axis from x = -3 to x = -1 using:…

A: Consider the given area bounded by the curves as y=x3+3x2-4x-5 and the x axis from x=-3 to x=-1. Let…