Find the value of c > 0 such that the area of the region bounded by the parabolas x² - c and c2 -x² is 72.

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y 2 and - y = c² – a? is 90.

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Q: Find the area of the region between the graphs of y = 20 - 2² and y=-2x - 15 over the interval 6 < x…

A: Please see the below picture for detailed solution.

Q: Find the two values of c such that the area of the region enclosed by the parabolas y=x^2-c^2 and…

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Q: Find the area A of the region between the graphs of the equations y² = 3x x2 = 3y

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Q: Consider the region bounded by the graph of y = 4x + 3, the x-axis, and the lines x = 2, x = 7. A…

A: Given area bounded by the curve y=4x+3, x-axis and the lines x=2, x=7

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² - c² and y = 2²-² is…

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Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

A: Here we have to find out the area between the given curve that is we have given two parabolas

Q: Find c > 0 such that the area of the region enclosed by the parabolas  y = x2 -c2 and y = c2 - x2…

A: Explained below

Q: Find the area bounded by the parabolas (x 1) 4ay and y2 + 4a = 4ax.

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x? is…

A: We have to calculate the value of c for c&gt;0 such that area enclosed by the parabolas.

Q: What is the area (in square units) of the region bounded by the graphs of y=r²+2, and the x axis…

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Q: 4. Find the area between the parabolas y2 = 4ax and x² = 4ay.

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Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

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Q: Find the values of such that the area of the regionbounded by the parabolas  y  = x 2 - C 2  and…

A: given : the two parabolas are: y=x2-C2y=C2-x2 the area bounded by the parabolas is 576.

Q: The area of the region enclosed by the parabola y = 2 - x? and the line y = -x is :

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Q: If a vertical element is used in finding the area bounded by the parabolas y = x² – 7 and y = 1 –…

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Q: Find the area under the parabola y = 8 - x^2 -2x, above the x axis

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Q: The area of region bounded by the parabola y? = 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 of the region bounded by the parabola y = 2x, the tangent line to this parabola at (4,…

A: Definition used -              Equation of a tangent line -                  (y-y1)=f'(x1)(x-x1)…

Q: Find the area of the region bounded by the hyperbola 9x2 - 4y2 = 36  and the line x = 3

A: Let the graph of the area of the region bounded by the hyperbola 9x2-4y2=36  and the line x = 3 is,

Q: Find the area of the region bounded by the hyperbola 25x² – 4y² = 100 and the line x = 3.

A: We have to find the area of the region bounded by the hyperbola 25x^2-4y^2=100 and x=3  Please see…

Q: f(x) = 3. 2. 14

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 – c² and y = c2 – x² is…

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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: Find the values of c such that the area of the region bounded by the parabolas y = 4x2 - c2 and y =…

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Q: Find c 0 such that the area of the region enclosed by the parabolas y- x- c and y = c-a2 is 100.

A: Given the region enclosed by the curve y=x2-c2 and y=c2-x2 To find the value of c such that area of…

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² − c² and y = c² – x² is…

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Q: Find the area of the region bounded by the curves, x = -6, x = 6, - axis and the parabola x2 – 4y –…

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Q: Find the area of the region between the x-axis and the graph of y=x - 3x + 2x, where 0< x<2

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Q: Find the area of the region included between the parabolas y² = 4(p+1)(x + p + 1), and y² = 4(p² +…

A: As per the question we are given two parabolas defined as : P1  :  y2 = 4(p+1)(x+p+1) P2  :  y2 =…

Q: Find in two ways the area bounded by the parabola y=x^2, the y-axis, and the lines y=1, y=4

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Q: Find the area of the region bounded by the graphs of f(r) =-r² + 2x+5 and g(z) = 121|- %3D

A: Area bounded by the curves :  If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: 2) Find the area of the region bounded by two parabolas x = y2 - 5y, and x=3y - y? . Specify the…

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Q: Find the area of the region between the parabola y = 4.x; and the straight 4x – 3y = 4

A: Given curve equation y2=4x,4x-3y=4

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x² – c° and y = c- -2² is…

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Q: Find the area bounded by the parabolas x2 – 2y = 0 and x2 + 2y = 8.

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Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

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Q: Sketch the region bounded by the graphs of y%3= 1 and y=D4-3x, then find its area.

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Q: (b) By sketching the graphs, find the area of the region bounded by the parabola and the line, x2 =…

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Q: Find the area of the region enclosed by the graphs of x = y³ - 14y and y + 3x = 0.

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Q: Find the area of the region enclosed by x = y² – 4y + 2 and x = y - 2.

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Q: Find the area of the region enclosed by the parabola y = 8x – x² and the x-axis.

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Q: 3- Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

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Q: Find the area of the region bounded by the semicircle with the equation y = √(4- (x + 2)^2 ) + 1 and…

A: Given region is bounded by curves, y=4-x+22+1y=x2+4x+1

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

A: Here we have to find find the area enclosed by the region 4x2+y=4 ...............(1) and…

Q: The area of region bounded by the parabola y? = 4x and the line y = 2x – 4 is

A: In the given question, the concept of integration is used to find the area of the common region.…

Q: Find the area bounded by the parabolas (x – 2)² – 9py = 0 and y2 = 9p(x – 2). -

A: We need to find area bounded by two curves.

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 - c and y = c - x² is…

A: Solve for the area

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.