1. Find the volume of the solid generated when the region bounded by y = cos x-sinx and the x-axis on the interval is revolved about the x-axis.

Q: 1) Given the region bounded by the graphs of y = x sinx ,y = 0,x = 0, and x = T, find the volume of…

A: Volume of solid =>V=∫ab2πrh.dx

Q: 2. Find the volume of the solid generated by revolving the region under the curve f (x) = x² + 1…

A:

Q: Q4| Find the volume generated when the area between y = cos x,y = sin x and the y - axis is rotated…

A:

Q: The volume of the solid generated by revolving the region between the parabola x =y²+1 and the line…

A:

Q: Let M be the region in the first quadrant bounded by the graphs of y=sin(πx/2) and y=x^2. What is…

A: Given: Region M in the first quadrant bounded by y=sinπx2 and y=x2. To find: Volume V of the solid…

Q: (#3) Find the volume of the solid generated by f(x) =x° and f(x) = 4x-x° rotating about the y-axis:

A:

Q: 3 14. Find the volume of the solid that results when the region bound by y = x°, x = 2 and the…

A: The given region is the region bounded by y=x3,x-axis y=0 and x=2. To find the volume when the…

Q: Calculate the volume V of the solid obtained by rotating the region under y = x2 about the x-axis…

A: To find the volume V of the solid obtained by rotating under a region, use the formula, V=∫abπ(y)2dx…

Q: Let M]M be the region in the first quadrant bounded by the graphs of y=sin(πx2)y=sin(πx2) and…

A:

Q: Consider the region bounded by the graphs of y = sqrt(x tan-1 x) and y = 0 for 0 <=x<= 1. Find…

A: Given,

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 of the solid of revolution generated by revolving the region bounded by the graph…

A: Here,  we need to find the volume of the solid of revolution generated by revolving the region…

Q: 16. Find the volume of the solid generated by revolving the region enclosed by y = 3sinx and y = 0…

A:

Q: The region between the graph f(x) = Vx and the x-axis for x E [0,4] is revolved about the line y =…

A:

Q: 3. Find the volume of the solid of revolution when the region below y = x + 1 and between x = 0 and…

A: 3 We have to find the volume of the solid of revolution when the region below y=x+1 and between x=0…

Q: 3: Find the volume of the solid generated by revolving the shaded region about the x-axis: and graph…

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

Q: Find the volume of the solid generated when the region between y = sinx and y = 0 for 0 ≤ x ≤ π is…

A: y=sinx  &  y=0  for  0≤x≤π

Q: 1) Calculate the volume of the solid created by rotating the region bounded by y = x² +1 y = -x + 3…

A:

Q: 4. Use the washer method to determine the volume of the solid obtained by the revolving the region…

A:

Q: Set up an integral for the volume of the solid generated by revolving the region in the first…

A: We can see the region bound by the curves. Now we will set up the integral.

Q: 3. Find the volume of the solid whose base is the region in the first quadrant between the curve y=…

A:

Q: 4. Find the volume of the solid generated when the region bounded X - 2 by f(x) = x = 1, and the…

A:

Q: 9. Find the volume of the solid obtained by rotating the region bounded by y = Vx. x 0, and x = 4…

A: To find: The volume of the solid obtain by rotating the region bounded by y=x, x=0 and x=4 about the…

Q: 1. Consider the region between sinx, cosx for 0sxsa/4. Find the volume of the shape created by…

A:

Q: Find the volume of the solid obtained by revolving the region under y = ex for 0 ≤ x ≤ 2 about the…

A: The radius of the region= x Height = y= ex

Q: Find the volume of the solid formed by rotating the region bounded by y=sin2(x) and y=sin3(x) from…

A: Consider the given information. y=sin2(x) and y=sin3(x) And, the limit is  x=0 to x=pi. Put the…

Q: Find the volume of the solid obtained by revolving y = sin x for 0 ≤ x ≤ π about the x-axis.

A:

Q: 2. Find the volume of the solid in the first octant bounded by the cylinder z = sin(y) when 0 < y <n…

A: To find the volume of the solid

Q: Find the volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis for…

A: To find: The volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9 - x? and y = 2x + 6 is…

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

A: We have to find the volume of the solid formed by y=4sinx bounded by x=0 revolved about the x axis…

Q: Consider the region bounded by the graphs of x = 1/2, x = pi, y = ln 2x, y = ex,. Set up a definite…

A: Given: Considering the region bounded by the graph of . To find the volume of the solid that is…

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 of the solid generated by revolving the region bounded by the curve y = In x, the…

A:

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A:

Q: Find the volume V of the solid obtained by rotating the region under the graph of f(x) = 1 over the…

A: The given curve is fx=1πx The interval is 1, 4 To find volume V rotated about the y-axis.

Q: 11. Use the Shell Method to calculate the volume V of the solid obtained by rotating the region…

A:

Q: 1. Obtain the volume of the region rotated to the right of the y-axis and to the left of the curve x…

A:

Q: 3. Find the volume when the part of the curve y = x + 1 between x = 1 and x = 2 is rotated through…

A: Here we have to find the volume when the part of the curve y=x2+1 between x=1 and x=2 is rotated…

Q: Q4\ Find the volume generated when the area between y = cos x, y = sin x and the y - axis is rotated…

A:

Q: Find the volume of the solid of revolution that results when the region under the graph of…

A: For radius = x , height = f(x)= e^-x

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A:

Q: Find the volume of the solid generated when the region between the graphs of the equations f(x) = ½…

A:

Q: The volume of the solid that results when the region between the curve y=ex and the line y = 0, from…

A:

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A: For given curves washer method can not be used. Answer with disk method

Q: 3) Find the volume of the solid that is generated by revolving the region bounded by y= sin z cosz…

A:

Q: Find the volume V of the solid of revolution that results when the region under the graph of f(x) =…

A: To find the Volume V.  Given that f(x) = ln(x).

Q: 2. Find the volume for the solid generated by taking the area enclosed by f(x)=cos(x), x=0, x = and…

A:

Q: Determine the volume generated when the area bounded by the curves y=sin(x) an y=cos(x) from x=0 to…

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.