Question Solved1 Answer Question 3 0.4 pts Determine whether the line (1+t, 2 – 2t, -1+ 3t) is parallel, orthogonal, or neither to the given plane. 1. (enter a, b, or c) a (1+t, 2 - 2t, -1+ 3t) is parallel to the plane 2x + =0. b (1+t, 2 – 2t, -1 + 3t) is orthogonal to the plane 22 +2=0. c neither 2. (enter a, b, or c) a (1+t, 2 - 21,-1+ 3t) is parallel to the plane x - 2y+32 = 1. b (1+t, 2 – 2t, -1+ 3t) is orthogonal to the plane x 2y + 3z=1. c neither

Application (12 marks) x = 2+1 X = 3+5++ 25. Determine the distance between the parallel line {y-5-1,teR and the plane y-2-5-1, st ER. z = -4 z = 1+5-1 (4 marks)

can please answer this question, thank you I need today 1. A post-tensioned bonded concrete beam has a prestress of 1560 kN in the steel immediately after prestressing which eventually reduces to 1330 kN. The beam carries two live loads of 45 kN each in addition to its own weight of 4.40 kN/m. Compute the extreme fiber stresses at mid- span: 45 KN 45 KN 4.5 m 3 m 4.5 m 300 mm 0 600 mm 175 mm Mid span section 15 points 1.1 under the initial condition with full prestress and no live load * Your answer 1.2 under final condition after all the 15 points losses have taken place and with full live load *

Write C++ programs using a single main function. Hint:for each problem write a test function for it then call thesetest functions in the main function. Section 2.3 12. Write a C++ function: int rectArea (int len, int wid) that returns the area of a rectangle with length len and width wid. Test it inside the main program that inputs the length and width of a rectangle and outputs its area. Output the value in the main program, not in the function. 13. Write a C++ function void rect (int& ar, int& per, int len, int wid) that computes the area ar and perimeter per of a rectangle with length len and width wid. Test it inside the main program that inputs the length and width of a rectangle and outputs its area and perimeter. Output the value in the main program, not in the procedure. Section 2.4 14. Write a C++ recursive function int fib(int n) that returns the value of the n’th Fibonacci number. Do not use a loop. Test it in the main program, not in the function. The Fibonacci sequence is 0 1 1 2 3 5 8 13 21... Each Fibonacci nu ber the sum of the preceding Fibonacci nur //Lab1.cpp // add statement to include iostream // add statement to use namespace std // declare all functions except main function here int rectArea (int len, int wid); void testExercise12(); void rect (int & ar, int& per, int len, int wid); void testExercise13(); Int main() { cout << "Lab1: your real names" << endl; cout << "Test exercise 12: " << endl; test Exercise12(); return 0; } #Implement all functions you have declared here. Section 2.3 12. Write a CH function int rectArea (int len, int wid) that returns the area of a rectangle with length len and width wid. Test it with a main program that inputs the length and width of a rectangle and outputs its area. Output the value in the main program, not in the function, Sample Input 6 10 Sample Output The area of a 6 by 10 rectangle is 60. 13. Write a CH function void rect (int& ar, int& per, int len, int wid) that computes the area ar and perimeter per of a rectangle with length len and width wid. Test it with a main program that inputs the length and width of a rectangle and outputs its area and perimeter. Output the value in the main program, not in the procedure. Sample Input 6 10 Sample Output Length: 6 Width: 10 Area: 60 Perimeter: 32 Section 2.4 14. Write a CH program that asks the user to input a small integer. Then use a recursive function that returns the value of that Fibonacci number as defined in Exercise 5. Do not use a loop. Output the value in the main program not in the function, Sample Input/Output Which Fibonacct number? 8 The number is 21

2.10 A substrate is decomposed in the presence of an enzyme according to the Michaelis-Menten equation with the following kinetic parameters: Ky=10 g/L Fmax = 7 g/L min If we operate two one-liter CSTRs in series at steady state, what will be the concentration of substrate leaving the second reactor? The flow rate is 0.5 L/min. The inlet substrate concentration is 50 g/L and the enzyme concentration in the two reactors is maintained at the same value all of the time. Is the two-reactor system more efficient than one reactor whose volume is equal to the sum of the two reactors?

#include <iostream>using namespace std;int rectArea (int len, int wid) {return len * wid;}int main () {int length, width;cin >> length >> width;cout << "The area of a " << length << " by " << width<< " rectangle is " <</*add code to call the reacArea function */<< "." << endl;return 0;}

Let φ :Z18→ Z24 be a homomorphism. How many possible kernels of φ exist? Let φ:Z18​→Z24​ be a homomorphism. How many possible kernels of φ exist?