Show all work on separate paper in order to receive full credit. O SKETCH THESE CURVES...
PLEASE SOLVE NUMBER 3 AND
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1.Find the particular implci solution to the difterential equatiothat satisfies the condition 1. Find the particular implicit solution to the differential equation dx y y(7)- v5. Sketch a graph of your solution. 2. Write and solve the differential equation the models the verbal statement. Simplify the explicit solution. Temperature of the body and the constant temperature of its surrounding medium M." of a body is directly proportional to the difference in the...
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Consider the given curves to do the following. y = 8V1, y = 0, x = 1 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = -3. V- Sketch the region and a typical shell. (Do this on paper. Your instructor may ask you to turn in this sketch.) Show My Work Required
Show all work. Incomplete answers may receive little or no credit. 1. Briefly explain why the sequence (34+3 converges, while the series 23+2 diverges. For each of the following, determine if the series converges or diverges. Be sure to state what test you use. If the series is geometric & converges, find the sum. 5 -1 gn+1 5 el/n 5. 1 - 9 + - 1 - 6 + 1 - 4 + -3 8
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x", y = 5x, x2 0; about the x-axis V = Sketch the region. y у 5- 6 4 3 3 N -0. 0.5 1.0 X 1.5 -0.5 0.5 1.0 1.5 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 =...
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1. Find the area of the region bounded by the curves below. Sketch a graph of the region first. a. x = y2, x = VD, y = 0 b. y = x2 – 4, y == x2 + 4
Class Exercise 2. Find the volume generated by rotating the region bounded by the given curves about the specified line. 4, t y2; x = 4. 2y (b) y sin and y = cos x, on the interval [,]; x = . (c) y = 22, y 0, x -1 , x = 2; y 3/ 3, y = 8, x - y 2; y = -2. 5. (d) x = y (e) y = 2x, y =; y =...
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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...
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...
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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+...
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1Find the area of the region bounded by the curves y 2x2 - 8x + 12 and y=-2 + 12. Find the volume when the area in question/qis revolved around the 3-axis. Find the volume when the area in question/grevolved around the y-axis. Va is revolved around the Ib Find the volume of the region formed when the area enclosed by y = x3 and y 2-axis. Consider only positive values of x. Find the volume...