
Please explain every step! And please write clearly. Thank you!

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Please explain every step! And please write clearly. Thank you! Let V be a the shape...
1) In the balanced Y-Y circuit shown below, let Van=990<0° V (rms) and the load impedance per phase be Zy=60+j35 2. Find the complex power, apparent power, average power, and reactive power of the load (25 marks) 110 os os
please state which theorm has been used, write clearly and use
visual if possible.
(c) = el z fle"), on dt = 0, if f(w) is analytic for \w\< 1 + 8 the Poisson Kernel* 1. Verify each of the statements (a) through (e) below for z = reie and r < 1. lettel 1 - 72
Show step by step please, I need A, B and C, THANKS!
Let (V,<,>) be a finite-dimensional Euclidean space n and let T be linear operator in V. Are the following statements true? Show your answer. (show by and =) A. T is orthogonal if and only if t preserves angles, that is, if e is the angle between a and B, then 0 is the angle between T(a) and T(B). B. T is orthogonal if and only if T...
6. Let α be such that Icel < 1 . Let φ,(z) = ,,. Show that φα(z) maps B(0, 1) zEC: lzl 1) one-to-one onto B(0, 1) and that the inverse map φα(z)-1 is φ,(z). 2
4. Let f(x, y, z) = rytan'() + z sin(xy), < = wy=v²v, z = ". Find fu and , using the chain rule.
IDY in < oo and lim - Yn < 0o. Prove that lim,+ 1. Let In > 0. Yn > 0 such that lim,- Yn) < lim,-- In lim,+ Yn: i tn < oo and lim yn < . Prove that lim. In 1. Let In 20, yn 0 such that lim Yn) < limn+In lim + Yr
Please do this step by step because the explanation is a huge part
of the grade.
< x < and 3. Let X be a random variable with p.d.f. fx(x) = (1/2)e-Axl where - X>0. Let Y = X?. Find the c.d.f. and the p.d.f. of Y.
Question 19: Linear Transformations Let S = {(u, v): 0 <u<1,0 <v<1} be the unit square and let RCR be the parallelogram with vertices (0,0), (2, 2), (3,-1), (5,1). a. Find a linear transformation T:R2 + R2 such that T(S) = R and T(1,0) = (2, 2). What is T(0, 1)? T(0,1): 2= y= b. Use the change of variables theorem to fill in the appropriate information: 1(4,)dA= S. ° Sºf(T(u, v)|Jac(T)| dudv JA JO A= c. If f(x, y)...
(4) Let f(x) (0 if x<0 (a) Show that f is differentiable at z (b) Is f'continuous on R? Is f continuous on R? Justify your answer.
Find the value of k such that: Pr(-k<Z<k) = 0.60