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Physics 100 Lecture 4, Slide 1 PHYS 100 Lecture 4 PROJECTILE MOTION 0 02 04 06 08 1 12 14 0 5 10 15 x(m) y(m) y = (v 0/v T) x –(g/2v T 2)x 2 Velocity of Train vT v0'LUDF )RUPDOLVP 3DJH Title Dirac Formalism Author mylocal acct Created Date 9/12/18 AMMATH 32B2 (18W) (L) G Liu / (TA) A Zhou Calculus of Several Variables Contents 1 Homework 1 Solutions 3 2 Homework 2 Solutions 13 3 Homework 3 Solutions 19




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SOLUTIONS TO SECTION 1 5 Solution We have u x=u ss x u tt x= u s 2u t u xx=u sss x u stt x 2u sts x 2u ttt x= u ss 4u st 4u tt u xy=u sss y u stt y 2u sts y 2u ttt y= u ss 2u st u y=u ss y u tt y= u s u yy=u sss y u stt y= u ss Substituting these expressions into the given equation we ndТогда в первом случае заменаFinal Solutions Math 118A, Fall 13 1 pts For each of the following PDEs for u(x;y), give their order and say if they are nonlinear or linear




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If with mathh(t) = e^{t}/math, you mean that matht/math can take both positive and negative values, then this does not represent a causal system To elaborate a causal system always has mathh(t) = 0 \forall t < 0/math, which meansSOLUTION KEYS FOR MATH 150 HW (SPRING 14) STEVEN J MILLER 1 HW #1 DUE MONDAY, FEBRUARY 10, 14 11 Problems HW #1 Due Monday, February 10, 14 Problem 1 What is wrong with the following argument (from Mathematical Fallacies, Flaws, and Flimflam by Edward Barbeau) There is no point on the parabola 16y = x2 closest to (0,5) ThisLecture 26 Conditional expectation Scott She eld MIT Lecture 26




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