Please explain every step! And please write clearly. Thank you!
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
Vector Calculus. Please show steps, explain, and do not use calculator. Thank you, will thumbs up! 3. In this problem, let S be the surface defined be the equations: x2 + y2 + z2 = 1 and x2 + y2 < 1/2 (a) (1 point) Find a parametrization of S 0: DR3 where DC R2 (Hint: use spherical coordinates). (b) (2 points) Use part (a) to find the area of S. (c) (1 point) Let F: R3 R3 be the...
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...
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
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
Real analysis. Please solve all questions thank you 1. Let h be a positive real number, a <c< d < b and let Sh c< x <d, J() = 1 0 r < c, x > d (a) Using the definition only, find ſº f(x)dx. In fact, given e > 0, you should find an explicit d > 0) which works in the definition. (b) For a given partition P of [a, b], find a good upper bound on S(P)...
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, 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.