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Homework Answers
Option c.
Only in the case of udl x2 term will be there. If Udl is there on beam at a time we can consider the bending moment with Udl load intensity. Except option c in all other options with same load intensity ( i.e 20) X2 terms 2 are present which is not possible.
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Q8. Using Macaulay's notation, which of the following moment equations is correct? 20(x-4) 20(r-5...
Graph the region R bounded by the graphs of the given equations. Use set notation and...
Graph the region R bounded by the graphs of the given equations. Use set notation and double inequalities to describe R as a regular x region and as a regular y region. y=4 - x?.y=0,Osx52 Choose the correct graph of the region R below. OA OB. Oc OD Q Q Q 51 E 3 Describe R as a regular x region R={(x,y)| OD Describe R as a regular y region. R={(x,y) DD Minimize f(x,y) = x2 + xy + y2...
Question 4. (20 pts.) a) In the following system of linear equations, find k such that...
Question 4. (20 pts.) a) In the following system of linear equations, find k such that the system Has unique solution Has infinitely many solutions Has no solution x+z=0 x + 2y + 2z = 3 (x + kk + 1)y + z = k Question 5. (20 pts.) a)Find Eigenvalues and Eigenvectors of the following matrix 13 2 6 1 -2 3 16 4 12 b) Find the Fourier series representation of the function with period 21 given by...
Express the system of differential equations in matrix notation x – 4x + y - (cos...
Express the system of differential equations in matrix notation x – 4x + y - (cos t)x = 0 y"+y" - t?x' + 3y'+e-2x = 0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? OA. Xi =X, X2 = X". X3 = y, Xa =y" O B. *= x, X2 = x', *3 = y, X4 =y', X5 =y" OC. *1 =...
(5) The following is the formal definition for O-notation, written using quantifiers and variables: f(x) is...
(5) The following is the formal definition for O-notation, written using quantifiers and variables: f(x) is (g(x)) if, and only if, 3 positive real numbers k and C such that Vu > k, |f(x) <C|g(2) Write the negation for the definition using the symbols V and 3.
q8 only ESTION 7 Which of the following statements is/are CORRECT? 1. 2. 3. A solution...
q8 only
ESTION 7 Which of the following statements is/are CORRECT? 1. 2. 3. A solution is a homogeneous mixture of two or more substances. A solute is a mixture of a solvent and a soluble compound. Aqueous solutions are solutions in which water is a solvent. a. 1 only b, 2 only c. 3 only d. 1 and2 e. 1 and3 QUESTION 8 Which of the following statements concerning electrolytes and nonelectrolytes is/are true? 1. Some molecular substances are...
2. (5) The following is the formal definition for O-notation, written using quantifiers and variables: f(x)...
2. (5) The following is the formal definition for O-notation, written using quantifiers and variables: f(x) is (g(x)) if, and only if, 3 positive real numbers k and C such that Vr > k, f(x) <C|g(x)]. Write the negation for the definition using the symbols V and ).
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for all segments of the beam from 20 kN 0 kN 8 kN/m x =-4 to x = 8, U...
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for all segments of the beam from 20 kN 0 kN 8 kN/m x =-4 to x = 8, Use x-y axes as shown. Do not change x-y coordinates. Answers: M56 kN-mx4.09 kN-m
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for...
2. (20 pts. Consider a set of equations 4.x - x - x = 3 -...
2. (20 pts. Consider a set of equations 4.x - x - x = 3 - 2x + 6x2 + x3 = 9 -X, + x + 7x, = -6 Find X, X., and x, by using Gauss-Seidel method (no credit will be given for other methods) with an initial estimation (x,x,x)=(0,0,0) Note: Use the table below for 4 steps with 3 decimal places, k 0 1 0 0 0 2 3 4
Problem #4 (20 points): For the following simply supported beam: a) Determine equations for V(x) and...
Problem #4 (20 points): For the following simply supported beam: a) Determine equations for V(x) and M(x) for sections 0<x< 2 and 2<x< 8. Box your answers. b) Roughly sketch the shear and bending moment diagram for the beam. c) Determine the maximum bending moment (magnitude), Mmax and where it occurs, Xmax 4 kN/m XA 2m- - 6 m 3 KN
20: Solve the system of equations using substitution method. 2x+5y=26 X+ y= 10 21: Solve the...
20: Solve the system of equations using substitution method. 2x+5y=26 X+ y= 10 21: Solve the following equation. x-x1/2-6= 0 22: Solve the following system of equations, using elimination method. 2x+3y = 5 5x- y = 4 23: Solve the system of nonlinear equations. Any Method. Y?=x2-9 2y= x-3 24: Convert the log into exponent form. Ln (3x-5)2= 16 25: f(x)= 1/x in words explain the transformation of the following functions. a. g(x) = 1/ (x-3) +5 b. h(x)= -1/(x+2)...
Graph the region R bounded by the graphs of the given equations. Use set notation and double inequalities to describe R as a regular x region and as a regular y region. y=4 - x?.y=0,Osx52 Choose the correct graph of the region R below. OA OB. Oc OD Q Q Q 51 E 3 Describe R as a regular x region R={(x,y)| OD Describe R as a regular y region. R={(x,y) DD Minimize f(x,y) = x2 + xy + y2...
Question 4. (20 pts.) a) In the following system of linear equations, find k such that the system Has unique solution Has infinitely many solutions Has no solution x+z=0 x + 2y + 2z = 3 (x + kk + 1)y + z = k Question 5. (20 pts.) a)Find Eigenvalues and Eigenvectors of the following matrix 13 2 6 1 -2 3 16 4 12 b) Find the Fourier series representation of the function with period 21 given by...
Express the system of differential equations in matrix notation x – 4x + y - (cos t)x = 0 y"+y" - t?x' + 3y'+e-2x = 0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? OA. Xi =X, X2 = X". X3 = y, Xa =y" O B. *= x, X2 = x', *3 = y, X4 =y', X5 =y" OC. *1 =...
(5) The following is the formal definition for O-notation, written using quantifiers and variables: f(x) is (g(x)) if, and only if, 3 positive real numbers k and C such that Vu > k, |f(x) <C|g(2) Write the negation for the definition using the symbols V and 3.
q8 only
ESTION 7 Which of the following statements is/are CORRECT? 1. 2. 3. A solution is a homogeneous mixture of two or more substances. A solute is a mixture of a solvent and a soluble compound. Aqueous solutions are solutions in which water is a solvent. a. 1 only b, 2 only c. 3 only d. 1 and2 e. 1 and3 QUESTION 8 Which of the following statements concerning electrolytes and nonelectrolytes is/are true? 1. Some molecular substances are...
2. (5) The following is the formal definition for O-notation, written using quantifiers and variables: f(x) is (g(x)) if, and only if, 3 positive real numbers k and C such that Vr > k, f(x) <C|g(x)]. Write the negation for the definition using the symbols V and ).
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for all segments of the beam from 20 kN 0 kN 8 kN/m x =-4 to x = 8, Use x-y axes as shown. Do not change x-y coordinates. Answers: M56 kN-mx4.09 kN-m
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for...
2. (20 pts. Consider a set of equations 4.x - x - x = 3 - 2x + 6x2 + x3 = 9 -X, + x + 7x, = -6 Find X, X., and x, by using Gauss-Seidel method (no credit will be given for other methods) with an initial estimation (x,x,x)=(0,0,0) Note: Use the table below for 4 steps with 3 decimal places, k 0 1 0 0 0 2 3 4
Problem #4 (20 points): For the following simply supported beam: a) Determine equations for V(x) and M(x) for sections 0<x< 2 and 2<x< 8. Box your answers. b) Roughly sketch the shear and bending moment diagram for the beam. c) Determine the maximum bending moment (magnitude), Mmax and where it occurs, Xmax 4 kN/m XA 2m- - 6 m 3 KN
20: Solve the system of equations using substitution method. 2x+5y=26 X+ y= 10 21: Solve the following equation. x-x1/2-6= 0 22: Solve the following system of equations, using elimination method. 2x+3y = 5 5x- y = 4 23: Solve the system of nonlinear equations. Any Method. Y?=x2-9 2y= x-3 24: Convert the log into exponent form. Ln (3x-5)2= 16 25: f(x)= 1/x in words explain the transformation of the following functions. a. g(x) = 1/ (x-3) +5 b. h(x)= -1/(x+2)...
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