At what frequency are the real and imaginary parts equal? > R=522 Zeq 3L=10mH Ow =...
R i(t) i2() 1100) L2 In the above circuit, 11-10mH, L2-5 mH, R = 2kQ, and v(t) = 61(t) V, where (10 pts) A. DERIVE an expression for i1 (t) in terms of L1, L2 and i(t). SHOW YOUR WORK. {1, t > 0 u(t) = t0, t < 0. 0, t<0
Let z=5 where x, y, z E R. Prove that z? +z2+z?>
Let R represent the set of all real numbers. Suppose f:R -> R has the rule f(x)=3x+2. Determine whether f is injective, surjective and/or bijective. Injective but not Surjective Surjective but not Injective Bijective (both Injective and Surjective) None of the above
2. Let a be a positive real number, let r be a real number satisfying r >1, let N be an integer greater than one, and let tR -R be the integrable simple function defined such that tr,N(r) = 0 whenver x < a or z > ar*, tr,N(a) = a-2 and tr,N(z) = (ar)-2 whenever arj-ıく < ar] for some integer j satisfying 1 < j < N. Determine the value of JR trN(x) dz.
Recall that Etan E R is positive if the following two conditions hold: There exists N E Z+ such that an >0 for alln2 N. We use the notation R+to denote the set of positive real numbers: R+ = { E{a») R : Efe») is positive} 1. In class, we proved that the relation<on R, given by is an order relation. In this problem, you'll prove that R satisfies the axioms of an ordered field (a) If E(anh E{놔,Ep., }...
Let U be an open subset of R". Let f: UCR" ->Rm. (a) Prove that f is continuously differentiable if and only if for each a e U, for eache > 0, there exists o > 0 such that for each xe U, if ||x - a| << ô, then |Df (x) Df(a)| < e.
The cumulative distribution function of the random variable X is given by F(x) = 1-e-r' (z > 0). Evaluate a) P(X > 2) b) P(l < X < 3 c) P(-1 〈 X <-3). d) P(-1< X <3)
Let G = (V, S, R, S) be a grammar with V = {Q, R, T}; { = {q, r,ts}; and the set of rules: SQ Q→ RqT RrrT QQr T>t | StT b. (15) Convert G to Chomsky normal form.
3. McIntyre Problem 6.22: A beam of particles is described by the wavefunction SA eipoz/(6 – [ar]), [2]<b (x) = 10, < >b (a) Normalize the wavefunction. (b) Plot the real and imaginary parts of the wavefunction. (c) Calculate and plot the momentum probability distribution.
Part A What is the frequency shift of the ultrasound reflected from blood moving in an artery at a speed of 0.23 m/s? Express your answer with the appropriate units. A Doppler blood flow unit emits ultrasound at 5.8 MHz Af-Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 29 attempts remaining Provide Feedback Next >