please show all work and write your answers neatly and thoroughly please thank you. please make...
Please answer the following questions please show all work and
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11. (10 pts) Use the Cauchy-Riemann equations to prove that /(a) = .008 sinh y + i sin rcoshy is entire. Also find t').
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2. Solve the PDE 4ux - 5y = 0, together with the auxiliary condition that u(0,y) = y.
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2. Consider the one-parameter family of ordinary differential equations ay = y2 – 3y+a. Locate the bifurcation value of a and sketch the phase line for a value of a below, equal to, and above a
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Class Date: (13%) Problem 6: A ball is drown upward from the ground with initial velocity vi upward direction to be positive Refer to the figure Neglect aur resistance Click here fo detailed view Ω v? S% Part (a) what is the acceleration, m meters per second squared, to d e ball when is un the air? 2 Completed 8% Part (b)...
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Solve the following problems. The activation energy for the reaction below equals 1.0 x 105 J/mol. Given k 2.5 x 103 sec1 at 332 K, find k at 375 K. 1. N20s (g)-2NO (g) + 0a(g) Based on information in problem 1, find the temperature at which k is twice as large as it is at 332K. 2.
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Fall 2015 4
13 CHI C. aim
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Problem 17. Consider the following multistep methods for the initial value problem y f(t, v), y(to) = α on the interval (to, to + d). Below t.-to+ih, h-d/N, and wi is an approximation to y(ti): ()j41 3131+3 4h Milne's method (3) We assume that the needed intial values wo, ..., wm for an m-step methods are generated by an one-step...
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The auxiliary equation for the given differential equation has complex roots. Find a general solution. y" - 6y' +45y = 0 y(t) =]
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Find all the second partial derivatives. V = e5xey Vxx Vxy Vух Vуу = Submit Answer
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Factor completely. 32a 5011