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Jvz Cxg T. Answer to Let z = f(t)g(t) Use the chain rule applied to h(x,y) = f(x)g(y) to show that \frac{dz}{dt} = f'(t)g(t) f(t)g'(t) The. Let Z 2 t Z 1 xg t g t if the covariate Z 1 takes on the value 1 Z 2 t 0 if the from STAT 5543 at Columbia University.

Solved Expert Answer to Let v(t) = x(t)i y(t)j z(t)k Then v(f(t)) = x(f(t))i y(f(t))j z(f(t))k, so d dtv(f(t)) = d dt x(f(t))i y(f(t))j z(f(t))k By t. Solved Expert Answer to Let z = g(u, v) and u = u(x, y, t), v = v(x, y, t) and x = x(t), y = y(t) Then the expression for dz?dt has (a) Three terms (b) Four terms (c. DISTORTION OF UNIVALENT FUNCTIONS 27 wdw2 on the wplane We denote by A the complementary domain of the union of three segments 0, 22/1W, j = Q, 1, 2, which is evidently an admissible domain with respect to Q(w)dw2 (4) The function g 0 (z) = z(l z~3)2/3 maps the ex terior of the unit circle onto A Let Φ(w) be the inverse of g 0.

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J ~l ѐ g d. Explanation Basic Concepts v x v x constant v y v y g t x v x t y v y t 1 2 g t from PHY at University of Texas. J t F X g C { ӂ̊ό X b g L O B J t F X g C { ӂɂ́u m R ~ _ F42 i5 _ _ j B n v u 쓮 m R ~ _ F43 i5 _ _ j n v Ȃǂ ܂ B J t F X g C { ӂ̃z e ^ ό X b g ^ C x g ^ n O B. Let x(t) =j 25 II(t/2t) j· 25 A(t/c ) mV, with t = 5 us a Draw the signal x(t) to scale Include labels and tick marks mv b Calculate the total energy E and the average power P of x(0).