Suppose(a) Find C₁ and C₂.C1 =C2C₂ =y(t) = c₁e• [1] + ₂¹ [H]₁c₂ety(1) ==[8].0(b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph mostclosely resembles the graph you drew? Choose ♥(c) What is the approximate direction of travel for the solution curve, as t increases from -∞ to+∞?OA. along the line y = -x toward the origin and then along the line y = x away from the originOB. along the line y = x toward the origin and then along the line y = - away from the originOC. none of the above-5-2-1-3 -2 -131-3A9he+-4C1123341ya-321--2-4B291-142-242D1123354.yd

Answered: Image /qna-images/answer/03464c96-9b40-4fc7-8177-1d0894fc3d82.jpg

Answered: Suppose a) Find C₁ and C₂. 1 = 2 = c₂et…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 30E

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Suppose (a) Find c₁ and C₂ C₁ = C₂ = Get a [3] + [8] 7(0) = [3]. y(t) = c₁e²t (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? Choose (c) is the solution curve headed toward or away from the origin as t increases? OA. toward OB. away OC. neither toward nor away -3 -2 -1 -3 -2 - 1 A y2 y2 1 1 2 2 y1 y1 -3 -2 -1 -3 -1 --1 ↓ √mm -3 -1 -2 D B 42 42 1 1 2 2 3 3 y1 yi
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A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2014 can be modeled by y = 320.110/1+377e-0.257t 320,110 1 + 377e−0.257t where t represents the year, with t = 5 corresponding to 1985. (a) Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006. (Round your answers to the nearest whole number.) 1998 y = cell sites 2003 y = cell sites 2006 y = cell sites (b) Use a graphing utility to graph the function. (c) Use the graph to determine the year in which the number of cell sites reached 280,000. The number of cell sites reached 280,000 in . (d) Confirm your answer to part (c) algebraically. The number of cell sites reached 280,000 in .
Suppose (a) Find c₁ and c2. C1= -1 C2 = -1 (t) = c₁e²¹ [1] + 7(1) = [¯J]. 2¹, + c₂e² (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? A 4 (c) What is the approximate direction of travelfor the solution curve, as t increases from -∞ to +∞o? OA. along the line y = -x toward the origin and then along the line y = x away from the origin OB. along the line y = x toward the origin and then along the line y = -x away from the origin OC. none of the above
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Suppose y2 y2 3 y(t) = c,et + cze 2 3 y1 y1 ý(0) -3 -2 -1 -3 -2 -1 2 -1 -1 -2 -2 (a) Find C1 and C2. -3 -3 A В C2 = y2 y2 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? Choose v 2 2 (c) Is the solution curve headed toward or away from the origin as t increases? y1 y1 -3 -2 -1 -3 -2 -1 3 A. away -1 -1 B. toward C. neither toward nor away -2 -2 -3 -3 C D 3.
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