5. Find the volume generated by revolving the region bounded by y = 9- x2 and y = 0 about the x-axis.

Q: 2. Find the volume generated by revolving about the y-axis, the area bounded by x² + y² = a² and x+y…

A: The bounded region: Green colored    To find: The volume of revolution around y-axis of the bounded…

Q: 4. Find the volume generated by revolving the area cut off from the parabola y = 4x - x² by the x…

A:

Q: Find the volume obtained by rotating the bounded region defined by y = Vx y = 0 , and x = 4 around…

A:

Q: Find the volume generated by revolving about the x-axis the regions bounded by the following graphs.…

A: Given that         y = ex  , x=-2 , x=1  Here we have to find the volume generated by revolving…

Q: Sketch the area bounded by x^2 + 2y = 4 and x + y + 2 = 0 on the image below and determine the…

A: volume of above function is π×175.19 cube unit

Q: 27. Find the volume generated by rotating the area bounded by y = x² + x, x = 1, x = 4, and the…

A: Given that: y=x2+x,   x=1,  x=4   and   the   x-axis To sketch the graph,

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x? = 8y,…

A:

Q: 12. Find the volume of the solid that results when the region bound by x 1-y and the y-axis is…

A:

Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

A:

Q: 1. Find the volume generated by revolving the area bounded by the curve y = (1 – x²)² and the x–…

A:

Q: 14. Find the volume of the solid region generated by revolving the region bounded by y = 1-x² and y…

A: Here given, y=1-x2 and y=0, Then 1-x2=0⇒x2=1⇒x=±1

Q: Compute the volume generated by the curve = 4 y = z about x-axis between x = 2 and x x2

A: Given curve is  revolved around x-axis ,so now we will find volume generated by intigration between…

Q: 1. Calculate the volume bounded by y = x², y = 0 and x = 2 rotated about the specified line, using…

A:

Q: 5. Find the volume of the solid generated by revolving about y axis, the area bounded the y=(x²-4)²…

A:

Q: What is the volume (in πcu. units) of the region bounded by the curve y=x^3, and the lines x=1, x=2…

A:

Q: Find the volume (in cubic units) of the region bounded by the curves (y – 1)° = x – 1 ,and the lines…

A:

Q: 4. Find the volume of the region bounded by y = - x+1, x = 0 and y = 0 revolved about the x-axis.

A:

Q: 5. Find the volume of the solid generated by revolving the area bounded by the curve y = 4x - x2 and…

A: We are asked to find volume of the solid

Q: 3. Find the volume of the solid formed by y = √√4sin(x) bounded by x = 0 revolved about the x axis…

A: According to the question we need to find out the volume of revolution of the curve.

Q: The region bounded by y = 2x – x2, and y = 1 is revolved about: 1- The line x = 1 2- The y-axis Find…

A:

Q: 16. Find the volume of the solid generated by revolving the region bounded by the curve y = x – x²…

A: To find the volume of the solid generated by revolving the region bounded by the curve y=x-x2 and…

Q: 2) Find the volume generated by the area bounded by y = x², y = 4x, revolved about x-axis.

A:

Q: 2. Find the volume of the solid generated by revolving about the line x = -2 the region bounded by…

A:

Q: 3. Find the volume of the solid generated by revolving about the line x = 3 the region in y = 2x2 –…

A:

Q: Find the volume formed by rotating the region enclosed by: x = 7.8y and y = x with y > 0 about the…

A:

Q: 4) Find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

A: We find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

Q: Find the volume generated when the area bounded by the two curves of x^2 = 4y and y^2 = 4x is…

A: We will find out volume of solid of revolution.

Q: 5. Find the volume of solid generated by revolving the region bounded by the x-axis and one arc of Y…

A:

Q: Find the volume generated by revolving the area bounded by xy=4, x=1, x=4 and the x-axis about the…

A:

Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x = 1 about the…

A: Volume bounded by the region along x=1

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

A:

Q: Find the volume obtained by rotating the area bounded by y=x^4 and y=1 around the line y=8

A: Graph y = x4, y = 1 and y = 8 to find the boundary points as follows.

Q: Find the volume generated by the region bounded by the curve y 12X and the line X3 rotated about the…

A:

Q: Find the volume generated by the area bounded by the y-axis, the line y=1, and the arc of y=sin x…

A:

Q: 5/ Find the volume of the solid generated by revolving enclosed by y=x, y=0, x-1 about 1) y-axis

A: We will answer the first question as we answer only one question at a time. Please resubmit the…

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

A:

Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

A:

Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about…

A:

Q: 4. Find the volume of the solid generated by revolving the region bounded by the curves y = 2-x² and…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

A:

Q: Find the volume generated by revolving about the x – axis the area bounded by y^2=4x and x^2=4y

A: The volume generated by revolving the area bounded by the curves fx and gx is V=∫abπfx2−gx2dx. The…

Q: Find the volume formed by rotating the region enclosed by:   x=8y  and  y^3=x  with  y≥0   about…

A:

Q: Find the volume generated by revolving the area bounded by   xy=4, x=1, x=4 and the x-axis about the…

A:

Q: 5. Find the volume generated by the areas bounded by the straight line y = x, between y = 0 and x =…

A:

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

A: Here we have to set up the required integral.

Q: Find the volume generated by revolving about the line x - 4 = 0 the area bounded by the curve x2 =…

A:

Q: 2. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A:

Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -2 about the…

A:

Q: Find the exact volume generated by revolving the region bounded by f(x) = 2x^2 + 10 and g(x) = 4x +…

A: The volume generated by revolving the region by line y= 10 The given functions are fx=2x2+10 and…

Q: Find the volume formed by revolving the region about the line x = 4. 1 2 3 y = 3 – x & y = -x² + 2x…

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.