1- Find the volume of the solid generated be revolving the shaded region about the given axis. About the x-axis About the y-axis 2 x+ 2y 2 About the y-axis About the x-axis y = sin x cos x x= tan ()

Q: Find the volume of the solid generated by revolving the region bounded by y = 3x, y = 0, and x= 2…

A:

Q: The form SoE – 2) sin zdæ + S – x) cos ædx - represents the volume of the solid S generated by…

A:

Q: 4) Find the volume of the solid under the surface z = x3 and above the plane region bounded by x =…

A:

Q: 1. Using the croos-section to find the exact volume of the solid obtained by rotating the region…

A:

Q: 60. Consider the region bounded by the graphs of y = Vx tan and y = 0 for 0 < x < 1. Find the volume…

A: We have to use Disk method to find the volume with radius = y= sqrt(x*tan^-1x) x is from 0 to 1.…

Q: A region is enclosed by the equations below. y = cos(3z), y = 0, x = 0 6 Find the volume of the…

A:

Q: The volume of the solid obtained by rotating the region enclosed by 5x x = 0, x = 0.9 y = e* + 2, y…

A: The volume of the solid obtained by rotating the regions about x axis

Q: Use either the shell method or the disk/washer method to find the volume of the solid of revolution…

A: (a) Use the washer method we have to find the volume of the solid of revolution generated by…

Q: 1. Find the area bounded by the curves y = x², y=A and x=B. 2. Find the volume of the solid…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 1. Use the shell method to find the volume of the solid of revolution generated by revolving the…

A: Given: y=3x, x axis, x=1 , x=5  To find: volume using shell method about y axis

Q: 1. The region in the first quadrant bounded by y = x', y 0, and x 3 is rotated about the line y =…

A: Consider a region bounded by y=x2, y=0, x=3.

Q: (a) sketch the solid obtained by revolving the region under the graph of f about the x-axisover the…

A: a)  This is the region created by f(x)=x+1 when rotated about x axis. From x=0 to x=3

Q: 1. Let f(r) = e* and g(x) = e-². Find the volume V of the solid obtained by revolving about the…

A:

Q: 1-8 Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Since you have posted multiple questions we solve first question for you To get the solution of…

Q: Find the exact volume of the solid obtained by rotating the region bounded by r(x)=2sin x, I(x)…

A: To find the exact volume of the solid obtained by rotating the region bounded by,rx=2sinx and…

Q: 2.) Find the volume of the solid generated by rotating the region enclosed by y = x + 3, y = 0, x =…

A:

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by y=.…

A:

Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. of X=4 tan…

A: The volume of the revolved region can be solved using the disc method because for this problem it is…

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A:

Q: 2 0 f(x)=√4-x 2 4 6 - Suppose that the region bounded by f(x), the x - axis and the y axis is to…

A: The given region is   To find: the formula to find the volume of revolution.

Q: 5. Consider the solid whose base is bounded by the x-axis and the curve y = f(x) = 4-x² on the…

A: To find volume of the solid we need to find area of cross section A(x) and then intigrate it  from…

Q: 7. Consider the region above the x-axis and below y = e-ª with x > 1, shown below. 1 4 Consider a…

A: Given the region above x-axis and below y=e-x with x≥1

Q: 6 X Find the volume of the solid generated by revolving about the x-axis the region under the curve…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 1. Find the volume of the solid obtained by rotating the given region about the specified line.…

A:

Q: 1. Consider the region bounded by the graphs of y = In x, y = e*, x = 1, and x = e. Set up the…

A: The area under the curve  So, the volume of the solid of the revolution  obtained as

Q: Draw the region bounded by the curves. y = sin(x), y = 3 sin(x), x = 0 and x = ?. Use the washer…

A: 1 To find: The volume when the region is rotated around the x axis. Sorry, we can answer first…

Q: The region R in the first quadrant is bounded by y = 10 sin y = 10(x – 2)² and y = 8x + 2, and…

A: Here red line stands for 10sin[(pi/2)x] Blue line stands for 10(x-2)^2 Green line stands for 8x+2

Q: 1. Consider the region between the functions y = f (x) = Vx and y = g(x)= x on the interval [0,1].…

A: We will find out the required values.

Q: (tan x)²/x, 0 < x</4 lo, 14. Let g(x) = x = 0 a. Show that x g(x) = (tan x)², 0 < x < ¤/4. b. Find…

A:

Q: 17. Find the volume of the solid generated by revolving about the x-axis the region bounded by the…

A:

Q: 1-8 Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: b) [ bounded 1: Find the volume of the solid obtained by rotating the region by the curve about the…

A: Graph:

Q: SET UP the integral necessary to find the volume of the solid for the shaded area revolved about the…

A: Given

Q: 7.) x = y² +₁₁ x = 0, y = -1 and y=2. The volume of the solid generated by revolving region about…

A:

Q: 6. Find the volume of a wedge cut out of a "cylinder" whose base is the region bounded by y = cos(x)…

A: To find: The volume of the wedge that is cut out of a cylinder whose base is the region: 0≤y≤cosx,…

Q: 3. The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x². Cross…

A: Given that the base of the solid is bounded by y=x and y=x2 on the xy-plane.  Cross sections of the…

Q: 1. Consider the region bounded by the graphs of y = In x, y = e*, x = 1, and x = e. Set up the…

A:

Q: 15- Find the volume of the solid generated when the region bounded by the curve x= cos y and the…

A:

Q: R is the region bounded above by the graph of f(x) = 2 sin (2x²) +2 and below by the x-axis over the…

A:

Q: The region enclosed by the graph of y = e², the x-axis, and the lines x=0 and x=2, is revolved about…

A: Given the region enclosed by y=ex2, x axis and the lines x=0 and x=2. The objective is to find the…

Q: Consider the region R between y = sin x and the x-axis for 0 ≤x ≤π. (a) Find the volume of the solid…

A:

Q: A solid formed when the area between y=2x2 and the x_axis over the interval 0≤x≤2 is rotated about…

A:

Q: 8. a) Find the area of the region bounded by y = In a, y = 0, and a = e. 8. b) Find the volume of…

A:

Q: 1-8 Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given,

Q: Find the volume of the solid of revolution generated when the area described is rotated about the…

A: We have to find the volume of the solid of revolution generated when the area described is rotated…

Q: 5 of 8 lindrical shells to find the volume of the solid generated when gion enclosed by the given…

A:

Q: The volume of the solid obtained by rotating the region enclosed by 4x y = e* + 2, y = 0, 0, X = 0.1…

A:

Q: 2- Find the volume of the solid generated be revolving the shaded region about the given axis.…

A:

Q: V6 sin z, and the lines Problem : Find the volume of the solid of revolution bounded by the curvey…

A: first we need to plot the graph and the limits given, to know how the figure looks like

Q: 9:(a): Find the area bounded by the curve y = = -x, the line y = x, and the line y= 2. (b) : Find…

A:

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.