plz help problem 3.1 and 3.2
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Let f(t) = max(4-t2 ,0). Compute and plot the following projections. (a) Pi.o(t) (b) Pf, 3(t) (c) Pt,-1(t) (d) P,-2(t) 3.16
Let C be the helix parametrized by r(t) = (cost, sint,t), 0 <t<7/2 in R3. Compute the flow of the vector field (x – yz sin xyz, zey? – zx sin xyz, yeyz – xy sin xyz) along C.
Let x be a discrete random variable with PR mass function f(x)=2(1/3)^x, x=1,2,3.. A) Compute Mx(t) B) Compute M'1=EX, M'2=EX^2
2. Let A = {1, 2, {3,4}} and let B = {1, 2, 3, 4]. Compute each of the following: (a) AUB (b) ANB (c) A | B (d) B\ A
2.11. Let x(t) 11(1-3)-u(t-5) and h(t) = e-3t11(1). (a) Compute y(i) - x(t) * h(t)
(1 point) Let Compute (4,4) (4,4) (1 point) Let W(s,t) - F(u(s, t), v(s, t)) where u(1,05, u,(1,0-7, ua(1,0) 2 F -5,-2)-7,F (-5,-2)4
2. Let и(x, y, 2) ='y+y23, t = rse", y = rse- = r’s sint Compute ди ди at the point r = 2, 8= 1, t= 0 дѕ' де ət ди
let {X(t), 1 2 0} denote a Brownian motion 8.1. Let Y(t) = tx(1/t). (a) What is the distribution of Y(t)? (b) Compute Cov(Y(s), Y()) (c) Argue that {Y(t), t 2 0] is also Brownian motion (d) Let Using (c) present an argument that
let {X(t), 1 2 0} denote a Brownian motion
8.1. Let Y(t) = tx(1/t). (a) What is the distribution of Y(t)? (b) Compute Cov(Y(s), Y()) (c) Argue that {Y(t), t 2 0] is also Brownian motion...
please help with a and b
3. Let a) r(t) = 3titve tej + 3 tsk Compute the length of the curve t=0 t=2 b) suppose for a curve r(t) we have r' (+)=QL +3t; +4K compute the curvature of KLE) (Hint: one. of the formulas for curvature makes it easy)