Question Question 5 (20 marks) (a) Referring to Figure 5 , find the Thevenin equivalent at terminal \( \mathrm{X} \) and \( \mathrm{Y} \). (15 marks) (b) Find the load resistance \( \mathrm{Z}_{\mathrm{L}} \) connect to terminal \( \mathrm{X} \) and \( \mathrm{Y} \) in the circuit to get the maximum power transfer in the circuit. (5marks) Figure 5

A helium-neon laser (^= 633 nm) illuminates a single slit and is observed on a screen 1.30 m behind the slit. The distance between the first and second minima in the diffraction pattern is 4.75 mm Part A What is the width (in mm) of the slit? ΒΙ ΑΣφ ? a = mm Submit Request Answer

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 36 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. in USE SALT D. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) % % of the watches it makes, how long should the (b) If Accrotime does not want to make refunds on more guarantee period be (to the nearest month)? months

Consider the following series. +1 lerror< 0.00005) 4 n1 Show that the series is convergent. Since this series is an alternating series which condition(s) below show that it converges? (Select all that apply.) 1 1 < n (n + 1) 1 lim 0 1 1 (n + 1) n 1 lim no in = 0 How many terms of the series do we need to add in order to find the sum to the indicated accuracy? X terms

6,7 cable shown in Figure P6.7 supports a uniformly distributed load of 100 kN/m. Determine the tensions at supports A and at the lowest point B. 8 m 2 m 100 kN/m 10 m

i need the answer quickly A pelton wheel is to be designed for the following specifications:Shaft power = 11, 772 kW; Head 380 m;Speed = 750 r.p.m.; Overall efficiency = 86%.Diameter is not to exceed one-sixth of the wheel diameter.%3D%3DDetermine:The wheel diameter,(i)(ii)The number of jets required, and(iii) Diameter of the jet.Take coefficient of velocity = 0.985 and speed ratio 0.45.

4. (a) Consider the following MA(2) process: 5 Xt = Z-, 2-1 +_21-2 , 2 ~WN(0,0%). . i. Rewrite the process in terms of the backward shift operator B. ii. Calculate Cou(X+, Xt-j), j> 1. iii. Is the MA process invertible? Why and why not? If X is invertible, calculate its inverse, that is, write Z in an infinite sum of X.