2. Region bounded by y=x+2, y=0, and x=2 a. revolved about the x-axis (Discs) b. revolved about y = 2 (Washers)

Q: 26 Find the area of the region bounded by, c. The curve y= In x, the lines x 4 and the x-axis. d.…

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Q: 14 12

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Q: Consider the region R determined by the lines x=0, y=1 and the curve y=x^8. Determine n such that…

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Q: Sketch the region enclosed by the given curves. y = 2/x, y = 8x, y = x > 0 y y 6F 5- 5- 4 4. 3 2 1 1…

A: Given equations: y=2x. . . . . (1)y=8x . . . . . (2)y=18x . . . (3)x>0 Explanation: First we…

Q: 2. Region bounded by y= x, x=0 and y=15, rotated about the y-axis

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Q: Consider a triangle of area 2 bounded by the graphs of y = x, y = 0, and x = 2.   Sketch the region?

A: First draw the x and y axes . Label x for x-axis and y for y-axis . Line y=0 passes from the point…

Q: 1. Find the areas enclosed by the y-axis and the following curves and straight lines: b. x= y(y-2),…

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Q: 3 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

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Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

A:

Q: 7. Find the radius of gyration of a plate covering the region bounded by y3,x 2, and the x-axis with…

A: Formula used:Radius of gyration, moment of inertia and area under curve with reference to y axis is…

Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, 1. y = -X, 3 x >0 y y 8- 6. 6. 4 4…

A: Given curves: y=3x, y=12x, y=x3 Andx>0

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x'+ 3x'.

A: According to our guidelines we can answer only first question and rest can be reposted.

Q: The shaded region has what area? 1.5 y = x 1 0.5 -0.5 0.5 1 1.5 2 2.5 3.5 4 4.5 1 -0.5 (x – 3) 2 y =…

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Q: The region shown is bounded by x = 3 , y = 0 and y = x

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Q: Find the area of the unbounded shaded region. 2x y = x2 + 5 y 1.0 0.8 0.6 0.4 0.2 1 3 4 In 6 2.

A: To find the area of the shaded region. Note that the area is bounded by the curves y=2xx2+5,…

Q: 4. Sketch the region R= {(x, y)|y < x < /1- y²,0 < ys v2/2}. (Hint: graph all of the four "curves".)

A: R=x, y| y≤x≤1-y2, 0≤y≤22 The four curves are   y=x x=1-y2y=0y=22

Q: Sketch the region defined by the inequalities 0&lt;= r&lt;=2 sec u and -pai/4 &lt;= u&lt;= pai/4

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Q: 3. Sketch the region enclosed by the curves/lines x = y, y =÷, x = 3 and find its area.

A: Given equations: x=y……1y=1x……2x=3……3

Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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Q: 4. Region bounded by y = x2, x=0 and y=15, rotated about the y-axis

A: Imagine the plot and rotate it about the axis specified and the resulting figure will lead to the…

Q: 8. Sketch the region bounded by y = between x 1 and x = 2 then find the are of this x2+x region.

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Q: he region bounded by x2 + y2 = 4?, 4y = -5x and 13y = 6x where y 2 0. Leave your answer correct…

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Q: 17) Find the total areas of the regions bounded 17.1) y = e", y = e(2 – x), y axis |

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Q: 4. ) Compute the area of the region enclosed by the lines y = x and y = x and the curve x = 10 –…

A: Use double integral to solve this problem.

Q: 6. Find the area of the region bounded by y =1+cosx, y = 2, x=1.

A: Given curves are  y=1+cosxy=2x=π

Q: 2.2. Sketch the region enclosed by y = VI-1, 1- y = 1 and calculate its area.

A: Area between the curves

Q: 9. Consider the region bounded by the curves y = e", y = e¬¤ and y = 2. %3D

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Q: 22 Evaluate f, e-(x²+y?) dx dy, where R is the region x? + y? < a?.

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Q: Find the area of the given region. 5 y = 16 + x2 y 0.5 0.4 0.2 0.1 -1 1 4 -0.1 4 2.

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Q: Sketch the region enclosed by the given curves. y = 4/x, у %3D 16х, y = -х, 16 y y 10- 10- 8 8 6. 6.…

A: Given:

Q: 3. Find the area of the region enclosed by the given curves. y = Vx + 2, 1 y = x = 0, x = 2 %3| x…

A: Recall: If f(x) and g(x) are two continuous function and f(x) ≥g(x) on the closed interval [a,b] ,…

Q: Consider the region bounded by y = 2√x, x-axis, and x = 1.

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Q: the region described. 5 1 ded by y = 7 and y = 4 2 1-X egion is approximately

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Q: 23) Find the area of plate bounded by y = x- 1, y = 3-x and y = 0.

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Q: 4. Region bounded by Y = x rotated about the y-axis ,x%30 and y=15,

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Q: 3. Consider the region, R, bounded by the graphs of y = x and y = √√x. a) Make a sketch of R.

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Q: While evaluating the area of the region bounded by two curves y√=xy=x and y−15x+54=0y−15x+54=0, the…

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Q: Sketch the region enclosed by the given curves. y = 4/x, y = 16x, y =x, x>0 16 y y 10| 10- 8 6. 2 4…

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Q: R is the region bounded by x = y? + 1 and x = 9 – y² and the axis of revolution is x = 9.

A: Given that,

Q: Sketch the region. s= {(x, y)\x 2 -2, 0sys se2 y 14 12 600 10 8 400 4 200 O-2 4 6 8 10 2 4 8 10 y y…

A: Given information: The area is bounded by the region S=x,y|x≥2,0≤y≤5e-x2. Graph: Draw the graph of…

Q: 16. Find area of the region enclosed by the lines and curve: x = y3 – y2 and x = 2y 3D

A: From the given curves the bounded region is shown as below. Now find the point of intersection…

Q: 4- Find Ix and Iy For The Region Bonded by y=x² and y=Vx 5- Find the area of The Cirde x+9=4 From…

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Q: 2: For the region R enclosed by the lines y dy = 2? y y=x y=-x y=2 2 2 6 x, y = x

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Q: 3. Region bounded by y y=x and y = 2x a. revolved about the x-axis (Washers) b. revolved about y=5…

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Q: 9:(a): Find the area boundedby the curve y =-x, the line y = x, and the line y = 2.

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Q: 2. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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Q: 8. Consider the region bounded by y =- * , y = Vx, x=1. х

A: Let us consider the curve y=f(x) and y=g(x) The area under the curve y=f(x) and y=g(x) in the…

Q: 5. Determine the area of the region bounded by y = 2x2 + 10 and y = 4x + 16. 28 24 y= 4x+16 20 16 y=…

A:

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.