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could you write neatly please, thank you 9. Let R be the region between the curves...
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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...
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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...
1 Let R be a region bounded between two curves on the r, y-plane. Suppose that you are asked to find the volume of the solid obtained by revolving the region R about the r-axis If you slice the region R into thin horizontal slices, i.e., parallel to the r-axis, in setting up the Riemann sum, then which method will come into play? A. Disc method B. Washer method C. Either disc or a washer method depending on the shape...
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=−2 and x=−1 about the y-axis.Volume = _______ Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis.x^2+(y−7)^2=25about the x-axis. Volume = _______
1. Let R be the region enclosed by the curves y =ra and r = y2 Nole that there is no med to evaluate any integrals in this problem unless you run out of other things to do). a) Find a dy integral for the volume of the solid obtained by rotating R about the r-axis. (Compare with your solution to part f of the last worksheet). b) Find a dx integral for the volume of the solid obtained by...
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 the x-axis. x = 1 + (y − 5)2, x = 17 2-Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 9
Let S be the solid of revolution obtained by revolving the region R of the z y plane about the line z 4where R is the region defined by the curves -6 andy-6- We wish to compute the volume of S by using the method of cylindrical shells a) Determine the smallest x-coordinate 1 and the largest x-coordinate r2 of the points in this region b) Let x be a real number in the interval |1,2 We consider the thin...
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...
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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+...
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...