Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

Q: Find the area of the shaded region. Ay 64- y 64-x2 48- Q 32- 16- -8 -6 -4 -2 2 4 6 8 10 -16- -32-…

A: The area under a curve, f(x) between two points, x=a and x=b can be found by doing the definite…

Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 63/2 square…

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Q: Find the area of the “triangular” region bounded on the left by y = sqrt(x), on the right by y = 6 -…

A: It is given that,

Q: Find the area bounded by the curves 5y^2 = 16x and the curve y^2 = 8x – 24

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Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: Find the area of the region. y = 16 – x4 15 10 -3 -2 -1 1 2 3

A: Given:- y = 16-x4  To find:- Area of region bounded by curve and x axis

Q: The area bounded by the curve y = 4x and the lines a = 4 and a = 6 above the a - axis is_ O 208.00…

A: Here we use washer's method to find the area between given curves. The answer is given as follows:

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: The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

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Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 21/2 square…

A: The given question has been solved in detail and option B is the correct answer.

Q: 3. Find the area of the region bounded by the parabola y? = 2x – x and the line y = x – 5 by taking…

A: We have equation of parabola  y2=2x-xy2=x                                                     ……(1)…

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: Determine the area enclosed by the curve y=5x2+2, thex-axis and the ordinates x=0 and x=3. Find also…

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Q: Find the total area of the shaded regions. 14 Q 4-2,12) 12- (2,12) 2. fy%3D3x ty= 10 -4- -2- y%3Dx…

A: We will solve the problem

Q: Find the area bounded by the ff. curves and lines: a. x^2 - y^2= 9 and y= 2x - 6

A: x2-y2=9  &  y=2x-6 The diagrammatic representation of the area is,

Q: Find the area of the triangle bounded by the lines y = x, y = -x, and y = 6?

A: The given equations of the lines are y=x, y=-x and y=6. Draw these lines and obtain the bounded…

Q: 2. Find the area bounded by y = 2x? + 10 and y (Hint: you will need both points of intersection). =…

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Q: Find the area bounded by the region y = 2x + 2 and the lines y = 1, y = 2

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Q: Find the area between the curve y= 2x +10 and line y4x + 16 64 64/5 64/3 O 64/7

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Q: ) Find the area of the region bounded by the lines ( yı=x² ) & (y2=2-x) for x<0.

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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 the x-axis and the lines x =- 2 and y =- 4x + 20.

A: It is known that area of region bounded by the curves is given by the integral, A=∫abf2(x)-f1(x)dx…

Q: Find the area of the region bounded by y=square root of 2x, y=3x-4, and y=0

A: Recall: Area between the curves:      If f(x) and g(x) are two continuous functions and f(x) ≥g(x)…

Q: The area bounded by the curve y = 6x and the lines x = 9 ,x = 11 and x %3| axis is - O 486 square…

A: Consider the curves, y=6x,  x=9,  x=11   and   x-axis To draw the bounded region:

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: Find Mx and My for the first-quadrant area bounded by y2 = 4x, the x-axis and x = 4. (ans: 16,…

A: Given the first-quadrant area bounded by y2=4x, the x-axis and x = 4.

Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: Find the area :  The curve y=4x-x2 and the lines y=0, x=1 and x=3.

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Q: Find the area bounded by y = x^2, the x – axis and the lines x = -1 and x = 1.

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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 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 region bounded by the curve y2=4x and the lines x = 1 and x = 4. 24 square…

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Q: Find the area bounded by the curve y = 1x³ - 2x² + 3x and the line x3_ 16 16 square units 10 square…

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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 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 trapezoid that is the region bounded by the lines x = 1 and x = 3, the x axis,…

A: Area bounded by the given curve:

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 specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: Find the area bounded by the given curves. y = x2 − 1 and y = 8 − 8x2        square units

A: Given :

Q: he area bounded by y = |x| and the lines x = 1 and x = 1.7 is

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

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Q: Find the area enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: Find the area of the shaded region. (9,3) x = y2 (0,0) (9,-3)

A: Using horizonal strip Established double integral

Q: y = 2x ,2 y+ 4x – 8 = 0

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Q: Find the area of the region bounded by y=−4x+ 9, y= 2x^2−11x+ 9, and the lines x=−2 and x= 5.

A: The area of the region bounded by two curves y=fx and y=gx, where a≤x≤b, can be calculated by using…

Q: The area bounded by the curve y = 3/x and the lines x = 3 and x = 8 above the x axis - is _square…

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Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

Q: Find the area bounded by the curve x²=y+2 and the line x+y=0

A: Integrals and derivatives are considered as the inverses of each other. For example If we integrate…

Q: The area bounded by the curve Y 4x and the lines x 6 and a 14 above the x axis is O 640.00 square…

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Q: Find the area limited by the line x + y = 10, the axis OX and the ordinates of x = 2 and x = 8.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.