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1. Consider the region bounded by the y-axis and the functions y and y-8 Set up (but do not evalu...
all information is here. 5) Consider the region R bounded by the curves y x and...
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5) Consider the region R bounded by the curves y x and y = 2x. Sketch the graphs, set up 2 formulas to find the volume of the solid obtained by rotating R (Slicing and Cylindrical shells), and evaluate these integrals using your calculator: -2 e) About the line x Slicing Method Cylindrical Shells Method f) About the line y 4. Slicing Method Cylindrical Shells Method g) About the line y- -1. Slicing Method Cylindrical Shells...
6. (a) (1 marks) Sketch the region bounded by the curves y = sin x, y...
6. (a) (1 marks) Sketch the region bounded by the curves y = sin x, y = x+1, x = 0 and x = - 27. (b) (3 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = 27. (c) (3 marks) Use the method of washers to set up, but do not evaluate, an integral for the...
2. Set up an integral to find the volume of the solid generated when the region bounded by y = 2x2 and y = x3 is (a) Rot...
2. Set up an integral to find the volume of the solid generated when the region bounded by y = 2x2 and y = x3 is (a) Rotated about the x-axis using shells (b) Rotated about the x-axis using washers (c) Rotated about the y-axis using shells (d) Rotated about the y-axis using washers (e) Rotated about the line x = −3 (f) Rotated about the line y = −2 (g) Rotated about the line y = 11 (h) Rotated...
need it asap please 18) 8. The region is bounded by y = 2 - r-...
need it asap please
18) 8. The region is bounded by y = 2 - r- and y = r. (a) (2 marks) Sketch the region. (b) (6 marks) Find the area of the region. (c) (5 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line r = -3. (d) (5 marks) Use the disk or washer method to...
5 pts) Consider the region bounded by the curves y 9, y and r 1 r-+64 If this region is revolved ...
5 pts) Consider the region bounded by the curves y 9, y and r 1 r-+64 If this region is revolved around the x - axis, the volume of the resulting solid can be computed in (at least) two different ways using integrals. (Sketching the graph of the situation m (a) First of all it can be computed as a single integral h(r)dr where o and This method is commonly called the method of Enter 'DW' for Disks/Washers or 'CS...
10. The region bounded by y = x², y = 3x, is revolved about the x-axis....
10. The region bounded by y = x², y = 3x, is revolved about the x-axis. a) Sketch the region b) Sketch the solid and a representative shell. c) Set-up the integral to find the volume using cylindrical shells. DO NOT SOLVE!!!
1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the x axis using t...
1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the x axis using the shell method
1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the...
1. y = -x/6 + 1, y = x/2 + 1, x = 6 Axis of...
1. y = -x/6 + 1, y = x/2 + 1, x = 6 Axis of revolution: y = 0. a) Sketch of the region bounded by the given functions and sketch the axis of revolution (1 point). b) Set up (but do not evaluate) an integral to determine the volume of the solid obtained by rotating the region bounded by the functions around the axis of revolution. Use the disk method or the cylindrical shells method (3 points). c)...
My Notes 5. -/1 points SCalcCC4 6.3.010. Consider the given curves to do the following. Use the m...
please help! thanks so much
My Notes 5. -/1 points SCalcCC4 6.3.010. Consider the given curves to do the following. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about thex axis. Sketch the region and a typical shell. (Do this on paper. Your instructor may ask you to turn in this sketch.) Need Help? Read ItTalk to a Tutor 6. -/1 points SCalcCC4 6.3.014...
8. The region bounded by x = 3/7, x = 0, y = 8 is revolved...
8. The region bounded by x = 3/7, x = 0, y = 8 is revolved about the y-axis. a) Sketch the region b) Sketch the solid and a representative shell. c) Set-up the integral to find the volume using cylindrical shells. DO NOT SOLVE!!!
all
information is here.
5) Consider the region R bounded by the curves y x and y = 2x. Sketch the graphs, set up 2 formulas to find the volume of the solid obtained by rotating R (Slicing and Cylindrical shells), and evaluate these integrals using your calculator: -2 e) About the line x Slicing Method Cylindrical Shells Method f) About the line y 4. Slicing Method Cylindrical Shells Method g) About the line y- -1. Slicing Method Cylindrical Shells...
6. (a) (1 marks) Sketch the region bounded by the curves y = sin x, y = x+1, x = 0 and x = - 27. (b) (3 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = 27. (c) (3 marks) Use the method of washers to set up, but do not evaluate, an integral for the...
need it asap please
18) 8. The region is bounded by y = 2 - r- and y = r. (a) (2 marks) Sketch the region. (b) (6 marks) Find the area of the region. (c) (5 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line r = -3. (d) (5 marks) Use the disk or washer method to...
5 pts) Consider the region bounded by the curves y 9, y and r 1 r-+64 If this region is revolved around the x - axis, the volume of the resulting solid can be computed in (at least) two different ways using integrals. (Sketching the graph of the situation m (a) First of all it can be computed as a single integral h(r)dr where o and This method is commonly called the method of Enter 'DW' for Disks/Washers or 'CS...
10. The region bounded by y = x², y = 3x, is revolved about the x-axis. a) Sketch the region b) Sketch the solid and a representative shell. c) Set-up the integral to find the volume using cylindrical shells. DO NOT SOLVE!!!
1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the x axis using the shell method
1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the...
1. y = -x/6 + 1, y = x/2 + 1, x = 6 Axis of revolution: y = 0. a) Sketch of the region bounded by the given functions and sketch the axis of revolution (1 point). b) Set up (but do not evaluate) an integral to determine the volume of the solid obtained by rotating the region bounded by the functions around the axis of revolution. Use the disk method or the cylindrical shells method (3 points). c)...
please help! thanks so much
My Notes 5. -/1 points SCalcCC4 6.3.010. Consider the given curves to do the following. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about thex axis. Sketch the region and a typical shell. (Do this on paper. Your instructor may ask you to turn in this sketch.) Need Help? Read ItTalk to a Tutor 6. -/1 points SCalcCC4 6.3.014...
8. The region bounded by x = 3/7, x = 0, y = 8 is revolved about the y-axis. a) Sketch the region b) Sketch the solid and a representative shell. c) Set-up the integral to find the volume using cylindrical shells. DO NOT SOLVE!!!
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