6. In the questions below, suppose A = {a, b, d} and B = {a, b,...
6. In the questions below, suppose A = {a, b, d} and B = {a, b, {d}}.
a. [5 pts] Is A B.? Make sure to justify your answer.
b. [5 pts] Find the power set of A: P (A)
Homework Answers
number 6 a until h 6. In the following questions suppose A -(a, b, c). Assume...
number 6 a until h
6. In the following questions suppose A -(a, b, c). Assume that the statement applies to all sets. P(A) means a power set of a set A. Mark the statement TRUE or FALSE. a) (b, c) E P(A). b) ffa)) P(A) c) SA. e) øSAXA f) (a, c) E A. h) (c, c) E A A.
solve it clear please ????? 6 0 0 1 Q2. Consider the matrix A = 2...
solve it clear please ?????
6 0 0 1 Q2. Consider the matrix A = 2 -5 -6 -50 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R$? (Justify your answer) (5 pts) Q5. Consider the square matrix A = (a) Show that the characteristic polynomial of A is:...
Suppose the following data set gives the age a person first receives a winning lottery ticket....
Suppose the following data set gives the age a person first receives a winning lottery ticket. Use JMP to answer the questions below. Use JMP to answer the questions below. 35 43 16 30 20 32 25 26 32 30 18 35 21 27 34 5 38 31 38 41 15 22 28 38 a. find P15* b. in the context of this problem, interpret P15* c. find the quartiles d. find the interquartile range e. interpret the interquartile range...
(30 pts) Given R(a, b, c, d, e) with a key (a,b) and given the following...
(30 pts) Given R(a, b, c, d, e) with a key (a,b) and given the following set of functional dependencies F = { {a, b} → {c, d, e}, b → {d, e} }. Is R in 1NF? Justify your answer. Is R in 2NF? Justify your answer. Is R in 3NF? Justify your answer.
2. Given the information below, answer the questions that follow. a. b. c. d. What is...
2. Given the information below, answer the questions that follow. a. b. c. d. What is the equilibrium GDP? Explain why $400 is not the equilibrium. (6 pts) What is the marginal propensity to consume (MPC) in this question? (Explain) (4 pts) Draw a diagram to illustrate the cquilibrium found in part (a). (5 pts) If government purchases increased by $15 and the price level did not change, what would the new equilibrium be? (Show all work) (5 pts) c....
the space spanned by H () and) 14. Suppose P projects 4-dimension al vectors ont 2,3)...
the space spanned by H () and) 14. Suppose P projects 4-dimension al vectors ont 2,3) and (1.1,-1.-1). Ple ase answer the following questions about P (a) What are the eigenvalues of P? (b) Is P diagon aliz able? Justify your answer c)Find a maximal set of line arly independent eigenvectors of P and indicate which eigenvalues they correspond to. (d) Suppose you were going to construct the 4 x 4 matrix corresponding to P via P- A(ATA) AT What...
1. Answer the following questions. Justify your answers. a. (8pts) Find the Taylor series for f(x)...
1. Answer the following questions. Justify your answers. a. (8pts) Find the Taylor series for f(x) = (5x centered at a = 1 using the definition of the Taylor series. Also find the radius of convergence of the series. b. (8pts) Find a power series representation for the function f(x) = 1 5+X C. (4pts) Suppose that the function F is an antiderivative of a function f. How can you obtain the Maclaurin series of F from the Maclaurin series...
7. Look at the reaction below, and answer the questions. [6 pts) + (6)44 a) Predict...
7. Look at the reaction below, and answer the questions. [6 pts) + (6)44 a) Predict whether AS for this reaction is positive, negative or zero. b) This reaction is exergonic. Is the reaction exothermic or endothermic? c) Will this reaction be more or less favorable as the temperature increases? 8. On the axes below, sketch an energy diagram for an Sw1 reaction, which is overall exergonic. [4 pts) energy reaction coordinate 9. Rank each set of compounds in order...
6. Suppose that (X1, X2) ~ N(0,0,1,1,0). It follows from this that the joint PDF of...
6. Suppose that (X1, X2) ~ N(0,0,1,1,0). It follows from this that the joint PDF of (X1, X2) is given by 1 fx1,x2 (x1, x2) - cxp («** + x2)) Furthermore, if 1 and (X1 + X2) ✓2 1 Y2 (X1 - X2) V2 Then (Yı, Y2) ~ N(0,0,1,1,0) as well. (a) If X1 < X2, what are the possible values of Y¡ and Y2? (b) If Y2 < 0, what are the possible values of X1 and X2? (c)...
Use the diagram below to answer the following questions. 6 B D 1 am 9 1...
Use the diagram below to answer the following questions. 6 B D 1 am 9 1 P 0.5 m 12 A 15 SO 150 250 350 T. "C- 18 According to the diagram, the solid phase of this substance 21
number 6 a until h
6. In the following questions suppose A -(a, b, c). Assume that the statement applies to all sets. P(A) means a power set of a set A. Mark the statement TRUE or FALSE. a) (b, c) E P(A). b) ffa)) P(A) c) SA. e) øSAXA f) (a, c) E A. h) (c, c) E A A.
solve it clear please ?????
6 0 0 1 Q2. Consider the matrix A = 2 -5 -6 -50 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R$? (Justify your answer) (5 pts) Q5. Consider the square matrix A = (a) Show that the characteristic polynomial of A is:...
2. Given the information below, answer the questions that follow. a. b. c. d. What is the equilibrium GDP? Explain why $400 is not the equilibrium. (6 pts) What is the marginal propensity to consume (MPC) in this question? (Explain) (4 pts) Draw a diagram to illustrate the cquilibrium found in part (a). (5 pts) If government purchases increased by $15 and the price level did not change, what would the new equilibrium be? (Show all work) (5 pts) c....
the space spanned by H () and) 14. Suppose P projects 4-dimension al vectors ont 2,3) and (1.1,-1.-1). Ple ase answer the following questions about P (a) What are the eigenvalues of P? (b) Is P diagon aliz able? Justify your answer c)Find a maximal set of line arly independent eigenvectors of P and indicate which eigenvalues they correspond to. (d) Suppose you were going to construct the 4 x 4 matrix corresponding to P via P- A(ATA) AT What...
1. Answer the following questions. Justify your answers. a. (8pts) Find the Taylor series for f(x) = (5x centered at a = 1 using the definition of the Taylor series. Also find the radius of convergence of the series. b. (8pts) Find a power series representation for the function f(x) = 1 5+X C. (4pts) Suppose that the function F is an antiderivative of a function f. How can you obtain the Maclaurin series of F from the Maclaurin series...
7. Look at the reaction below, and answer the questions. [6 pts) + (6)44 a) Predict whether AS for this reaction is positive, negative or zero. b) This reaction is exergonic. Is the reaction exothermic or endothermic? c) Will this reaction be more or less favorable as the temperature increases? 8. On the axes below, sketch an energy diagram for an Sw1 reaction, which is overall exergonic. [4 pts) energy reaction coordinate 9. Rank each set of compounds in order...
6. Suppose that (X1, X2) ~ N(0,0,1,1,0). It follows from this that the joint PDF of (X1, X2) is given by 1 fx1,x2 (x1, x2) - cxp («** + x2)) Furthermore, if 1 and (X1 + X2) ✓2 1 Y2 (X1 - X2) V2 Then (Yı, Y2) ~ N(0,0,1,1,0) as well. (a) If X1 < X2, what are the possible values of Y¡ and Y2? (b) If Y2 < 0, what are the possible values of X1 and X2? (c)...
Use the diagram below to answer the following questions. 6 B D 1 am 9 1 P 0.5 m 12 A 15 SO 150 250 350 T. "C- 18 According to the diagram, the solid phase of this substance 21
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