Question Solved1 Answer unit 5 cartesian and geometric vectors 1 of 6 Automatic Zoom Name: K/U 115 Comm Laz Think /13 App 10 Part 1: Knowledge / Understanding [15 marks] 1. If ü = [2, --4, -1] and ö = [1, -2, 4] find: a) 30-ü [2 marks] b) lū+ 24 - 2k [3 marks] c) Find G, where F(2,-3, 4) and FG = 3° [3 marks)

use Lagrange multipliers to solve the given optimization problem. 32. Find the maximum value of f(x,y)=xy subject to y=12-2x as well as the coordinate of the maximum value.33. Find the minimum value of f(x,y)= x^2+y^2 subject to x+2y=40 as well as the coordinate of the minimum value.

"Simon Says"simonPattern: RRGBRYYBGYuserPatteen: RRGBBRYBGY "Simon Says" is a memory game where "Simon" outputs a sequence of 10 characters (R, G, B, Y) and the user must repeat the sequence Create a for loop that compares the two strings starting from index 0. For each match, add one point to userScore. Upon a mismatch, exit the loop using a break statement. Assume simonPattern and userPattern are always the same length. Ex: The following patterns yield a userScore of 4: simonPattern: RRGBRYYBGY userPattern: RRGBBRYBGY 1 import java.util.Scanner; 2 3 public class SimonSays { 4 public static void main(String[] args) { 5 7 9 10 11 12 13 14 15 Scanner scnr- new Scanner(System.in); String simonPattern; String userPattern; int userScore; int i; userScore - 0; simonPattern scnr.next(); userPattern = scnr.next(): DID!! p d

Air at 80 degrees Fahrenheit and 14.7 psia with a mass flow rate of 0.6 lbm/sec enters a compressor and leaves at 70 psia and 430 degrees Fahrenheit through an exit area of 0.007 ft^2.  The measured heat interaction rate with the 80 degree Fahrenheit factory room is 3 Btu/sec.  Use constant Cp = 0.24 Btu/lbm oF a) Calculate the compressor work rate.   b) Compute the entropy generation rate for the overall process.  

1 Required information A 20-mm-diameter rod made of the same material as rods AC and AD in the truss shown was tested to failure and an ultimate load of 105 kN was recorded. Use a factor of safety of 3.0. Part 1 of 2 1,5 m D B 3 m -3 m 48 kN 48 kN Determine the required diameter of rod AC. The required diameter of rod AC is mm.

Required information A 20-mm-diameter rod made of the same material as rods AC and AD in the truss shown was tested to failure and an ultimate load of 125 kN was recorded. Use a factor of safety of 3.0. 1.5 m 3 m 48 KN 48 KN Determine the required diameter of rod AC. The required diameter of rod AC is mm

thermo 2 help plz Air, at \( 80^{\circ} \mathrm{F} \) and \( 14.7 \) psia with a mass flow rate of \( 0.6 \mathrm{Ibrm} / \mathrm{sec} \) enters a compressor and leaves at 70 psia and \( 430^{\circ} \) F through an exit of area 0007 . th \( ^{2} \). The measured heat internction rate with the \( 80^{\circ} \mathrm{F} \) factory room is \( ₹ \mathrm{Bth} / \mathrm{sec} \). Use constant \( \mathrm{C}_{p}=0.24 \mathrm{Btw}_{\mathrm{f}} \mathrm{b}_{\mathrm{m}}{ }^{\circ \mathrm{F}} \) a. Calculate the compressor work rate, W. b. Compute the entropy generation rate for the overall process.