Please help !! and explain !! Thank you so much
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Please help !! and explain !! Thank you so much 1. Consider the region R bounded...
Please help!! Thanks 1. Consider the function f(x) e a) Find the length of the curve given by the equation y - f(x), -1 3x<1. b) Let R be the region bounded by the graph of f(x) and the lines 1,1 a...
Please help!! Thanks
1. Consider the function f(x) e a) Find the length of the curve given by the equation y - f(x), -1 3x<1. b) Let R be the region bounded by the graph of f(x) and the lines 1,1 and y-0. Find the area of R. c) Find the coordinates of the center of mass of R. d) Consider the solid obtained by rotation of R about the r-axis. Find its volume and surface area.
1. Consider the...
Math232 2 Consider the region in first quadrant area bounded by y x,x=6, and the x-axis....
Math232 2 Consider the region in first quadrant area bounded by y x,x=6, and the x-axis. Revolve this bounded region about the x-axis a) Sketch this region and find the volume of the solid of revolution; use the disk method, and show an element of the volume. (15 marks) b) Find the coordinates of the centroid of the solid of revolution Find the moment of inertia of the solid of revolution with respect to the x-axis. d)
Math232 2 Consider...
Math23 2 Consider the region in first quadrant area bounded by y x, x 6, and...
Math23 2 Consider the region in first quadrant area bounded by y x, x 6, and the x-axis. Revolve this bounded region about the x-axis a) Sketch this region and find the volume of the solid of revolution; use the disk method and show an element of the volume. (15 marks) b) Find the coordinates of the centroid of the solid of revolution. c) Find the coordinates of the centroid of the plate; on the sketch above, show the vertical...
IMath 1021sec 6.41Page 8bu Example. Let R be the region bounded by the graph of y sin x2, the x-axis, and the vertical...
IMath 1021sec 6.41Page 8bu Example. Let R be the region bounded by the graph of y sin x2, the x-axis, and the vertical line x Tt/2. Use Shell sin x method to find the volume of the solid of revolution obtained by revolving R about Height 2 = sin x the y-axis, 0 VT/2 Interval of integration
IMath 1021sec 6.41Page 8bu Example. Let R be the region bounded by the graph of y sin x2, the x-axis, and the vertical...
Please solve for number 8. Thank you!! 7-10. Use the region R that is bounded by the graphs of y x-4, and y = 1 to complete the exercises. + 4 Region R is revolved about the x-axis to form a solid of...
Please solve for number 8. Thank you!!
7-10. Use the region R that is bounded by the graphs of y x-4, and y = 1 to complete the exercises. + 4 Region R is revolved about the x-axis to form a solid of revolution whose cross sections are washers. 7. a. What is the outer radius of a cross section of the solid at a point x in [0, 4]? b. What is the inner radius of a cross section...
all answer Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find...
all answer
Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
1.The region R is the region bounded by the functions y=x-3 and x=1+y^2. find the volume...
1.The region R is the region bounded by the functions y=x-3 and x=1+y^2. find the volume of the solid obtained by rotating the region R about the y axis. Please include a graph. 2.Find the volume of the solid obtained by rotating the region bounded by the graphs of y=x and y=sqrt(x) about the line x=2. Please include a graph
Please help with 1-10 and please show all work thanks. Show all of your work neatly,...
Please help with 1-10 and please show all work thanks.
Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
2) The region R in the first quadrant of the xy-plane is bounded by the curves...
2) The region R in the first quadrant of the xy-plane is bounded by the curves y=−3x^2+21x+54, x=0 and y=0. A solid S is formed by rotating R about the y-axis: the (exact) volume of S is = 3) The region R in the first quadrant of the xy-plane is bounded by the curves y=−2sin(x), x=π, x=2π and y=0. A solid S is formed by rotating R about the y-axis: the volume of S is = 4) The region bounded...
3) Consider the region R bounded by y 9-x2,y = 0, and x 0 (in the...
3) Consider the region R bounded by y 9-x2,y = 0, and x 0 (in the first quadrant) (Note: you may use MATH 9 and your answers should be correct to 4 decimal places) c) Sketch the graph and find the volume of the solid obtained by rotating Rabout the line y = - 1 Vertical or Horizontal slicing? 1=S4y) dy ? V Slice is a Disk or a Washer? A or Arca of a slice A = Volume V...
Please help!! Thanks
1. Consider the function f(x) e a) Find the length of the curve given by the equation y - f(x), -1 3x<1. b) Let R be the region bounded by the graph of f(x) and the lines 1,1 and y-0. Find the area of R. c) Find the coordinates of the center of mass of R. d) Consider the solid obtained by rotation of R about the r-axis. Find its volume and surface area.
1. Consider the...
Math232 2 Consider the region in first quadrant area bounded by y x,x=6, and the x-axis. Revolve this bounded region about the x-axis a) Sketch this region and find the volume of the solid of revolution; use the disk method, and show an element of the volume. (15 marks) b) Find the coordinates of the centroid of the solid of revolution Find the moment of inertia of the solid of revolution with respect to the x-axis. d)
Math232 2 Consider...
Math23 2 Consider the region in first quadrant area bounded by y x, x 6, and the x-axis. Revolve this bounded region about the x-axis a) Sketch this region and find the volume of the solid of revolution; use the disk method and show an element of the volume. (15 marks) b) Find the coordinates of the centroid of the solid of revolution. c) Find the coordinates of the centroid of the plate; on the sketch above, show the vertical...
IMath 1021sec 6.41Page 8bu Example. Let R be the region bounded by the graph of y sin x2, the x-axis, and the vertical line x Tt/2. Use Shell sin x method to find the volume of the solid of revolution obtained by revolving R about Height 2 = sin x the y-axis, 0 VT/2 Interval of integration
IMath 1021sec 6.41Page 8bu Example. Let R be the region bounded by the graph of y sin x2, the x-axis, and the vertical...
Please solve for number 8. Thank you!!
7-10. Use the region R that is bounded by the graphs of y x-4, and y = 1 to complete the exercises. + 4 Region R is revolved about the x-axis to form a solid of revolution whose cross sections are washers. 7. a. What is the outer radius of a cross section of the solid at a point x in [0, 4]? b. What is the inner radius of a cross section...
all answer
Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
Please help with 1-10 and please show all work thanks.
Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
3) Consider the region R bounded by y 9-x2,y = 0, and x 0 (in the first quadrant) (Note: you may use MATH 9 and your answers should be correct to 4 decimal places) c) Sketch the graph and find the volume of the solid obtained by rotating Rabout the line y = - 1 Vertical or Horizontal slicing? 1=S4y) dy ? V Slice is a Disk or a Washer? A or Arca of a slice A = Volume V...
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