Find the area bounded by the parabola y^2 =4x and the line y=2x-4 * 9 sq. units 21 sq. units 11 sq. units 43 sq. units

Q: Find the area bounded by the curve y = - -x³x²+3x and the line y=x. 16 4 (A) 10 square units B 8…

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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: Calculate the total area of the region bounded by the line y= 6x^2 + 9, the x-axis and the line x =4…

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Find the area between the curves (x^2)-(y^2)=9 and the line y=2x-6

A: Recall: Area between two curves:          A=∫abf(x)-g(x) dx           OrA= ∫abUpper function-(Lower…

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: Co-ordinate Geometry Question

Q: Find the exact area of the shaded region: (0, 4) y = 4 - x2 3 (3,-5)

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Q: Find the area bounded by the graphs of the indicated equation y = x2 - 5; y= 4; 0sxs3 The area is…

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Q: over the triangular region Cut from the * quadrant by the line x+y =1.

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

A: To find: The area bounded by the curve. Given: The equation of curves are y=-x2+4 and y=x2. Concept…

Q: Find the area bounded by the given curves, axes and/or lines 3. y=9-x^2, y=x+3

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Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: topic-  area bounded by curves

Q: Find a horizontal line y = k that divides the area between y = x and y = 4 into two equal parts.

A: Solution:Given     y=x and y=4T o find a horizontal line y = k that divides the area between y = x…

Q: Find the area between the curves:  and  y= -x2+4x+2 and y=x2

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Q: Find the area of the region bounded by y = 5x², y=0, x= 4, x = 6. Give your answer to the nearest…

A: Sol:- The area between curves is the area between a curve fx and a curve gx on an interval a, b…

Q: What is the area of the region bounded by the parabola y^2 = 2x and the line x-y-4 = 0? *

A: See the details solution in below

Q: area of the curve: x=y^2+8 ;x

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Q: Find the total area of the shaded region. 10- y = 8 6- 4- y=8 cosx 2- 1/2 元 Зл/2

A: Given curve y=8cos2x  liney=8

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

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Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: Our objective is to find total area of the region bounded by y=2x,the x-axis,and the lines x=2 and…

Q: y = x² and x² = y

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Q: Find the area bounded by the curve y = x3-12 x and the x-axis. Sketch the curve indicating the area…

A: We need to find the area between the curves y=x3-12x and the x-axis or y=0First we need to find the…

Q: Find the area of the region bounded by the graphs of the equations. y = sqrtX(4 − x), y = 0

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Q: Find the area under the curve  y= (2x2 - 7) / (sqrt(x)) ,   16 <= x <= 20

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Q: Find the area of the region bounded by the graphs of y = (square root (x)) and y = x/2. Leave the…

A: Find the area of the region bounded by the graphs of y=x and y =x2

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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Q: h -y =

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Q: Find the area of the region bounded by the parabola x^2 + y + 4 = 0 and the line y = −8 by taking…

A: Find the area of the region bounded by the parabola x^2 + y + 4 = 0 and the line y = −8 by taking…

Q: Find the area between the curves.    x = - 5, x = 1, y = 10 x, y= x 2 -11

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Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Given that, The curves are y=x2+5 and y=-x2, the line x=3, and the y-axis. Find the area bounded by…

Q: There is a line through the origin that divides the region bounded by the parabola y=6x−2x^2 and the…

A: y = 6x - 2x2 y = 2x ( 3 - x )  Hence, this parabola crosses x axis at x = 0 and x = 3

Q: The area of the region enclosed by the parabola y =2 -X and the line y = - xis equal to:

A: Given that that a parabolic equation and a line equation y = -x. And we find area enclosed by…

Q: Determine the area of the region enclosed by the curve y = x2 – 2 and line y=2

A: Given that y=x2-2 and y=2To determine the area enclosed by the curve.Solution:

Q: Find the area bounded by the curve y = 4x - x2 and the lines x = 0 and y = 4.

A: topic - area bounded by curves

Q: What is the area of the region bounded by the parabola y = x^2 and the line y = x?

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Q: Find the area of the region in the first quadrant bounded by the line y=5​x, the line x=5​, the…

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Q: Find the area of the region bounded by the graph of the function y = the x-axis, and the lines x = 4…

A: Definition used-                 The area under the curve of a function f(x) is given by -…

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: Fine the points of intersection and the total area between the curves y =x ^3 - 3x and y = 3x

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Q: .Find the area bounded by x=y² – 2y and the y-axis. Draw the figur

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Q: Find the area bounded by the given curves. y = 4x3 + 5 and y = 4x + 5        square units

A: We first sketch the area using a graphing calculator  There are two areas. They are symmetric. So…

Q: Find the area bounded by the curve y = 4x - x2 and y = 3.

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Q: = 4x y = 2x – 4

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis

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Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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

A: Given

Q: A line with negative slop X-axis and y-axis and passes through the point (2, 2). What is the sum of…

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Q: Find area bounded by the circle x² + y² = 25, the y-axis and the parabola y = 6x - x².

A: Circle: x2+y2=25 Parabola: y=6x-x2 To Find: Area bounded by the circle, the y axis and the parabola…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.