Homework Answers
complex zeros occur in pairs
so , if a + bi is a zero of P
then a - bi is also a zero of P
so, if 7 + i is a zero of P , then
7 - i is also a zero of P
3. Let (X,B) be a symmetric (n,k,λ)-design with B = {Bi : 1 ≤ i ≤...
3. Let (X,B) be a symmetric
(n,k,λ)-design with B = {Bi : 1 ≤ i ≤ b} and let B′ ={X\Bi :
1≤i≤b}. Provethatifb−2r+λ>0then(X,B′)isa (n, n − k, b − 2r +
λ)-design.
-5 m/s and v 3 m/s. The field is given by B- Bi+ Bi where B...
-5 m/s and v 3 m/s. The field is given by B- Bi+ Bi where B 2 T and By 4T. The charge on the electron is -1.6 x 10-19 C. What force F is exerted on the electron by the magnetic field? A) B) F-4(j-,51+k ) F 8(i+j+k ) D) F 3.2 x 1019 (6i-3j +5k) E) F 1.28 x 1018 (j-i k)
Please use R to solve question 1. Question 1 5 pts Binomial distribution: X~Bi(n=15,p=0.3). Evaluate Pr(2<x<7)...
Please use R to solve question 1.
Question 1 5 pts Binomial distribution: X~Bi(n=15,p=0.3). Evaluate Pr(2<x<7) and round to three decimal places (see Lab 2). Question 2 5 pts Poisson distribution: X~Poisson(lambda=4.5). Evaluate Pr(X<11) and round to three decimal places. Question 3 5 pts Assume that X is normally distributed (X-N(0,1)). Find Pr(X=3).
[4] (a) Find real numbers a and b such that a + bi = p.v.(-87]1/3. (b)...
[4] (a) Find real numbers a and b such that a + bi = p.v.(-87]1/3. (b) Consider the following statement. ”Log(–z)2 = Logz2 because (-2)2 = 22. Therefore, 2 Log(-x) = 2 Logz.” Explain whether or not the statement is true. [4] (c) Consider the following statement. "The rational function P(3), where p and q are co-prime 9(2) non-constant polynomials, is holomorphic everywhere except at the set of zeros of q.” Does this explain if any primitive of P(z) is...
[4] (a) Find real numbers a and b such that a + bi = p.v.(-87]1/3. (b)...
[4] (a) Find real numbers a and b such that a + bi = p.v.(-87]1/3. (b) Consider the following statement. ”Log(–z)2 = Logz2 because (-2)2 = 22. Therefore, 2 Log(-x) = 2 Logz.” Explain whether or not the statement is true. [4] (c) Consider the following statement. "The rational function P(3), where p and q are co-prime 9(2) non-constant polynomials, is holomorphic everywhere except at the set of zeros of q.” Does this explain if any primitive of P(z) is...
5) Consider the polynomial P() z2-z-1. (a) Find two integers n, m E Z, so that P(x) has a zero in...
5) Consider the polynomial P() z2-z-1. (a) Find two integers n, m E Z, so that P(x) has a zero in [n, m. (b) Use the bisection method twice to get an approximation to the zero of P(x) in n, m] (c) Use Newton's method twice to get an approximation to the zero of P() in n,m (d) Use the quadratic formula to find the actual zero of P() in [n, m (e) Compute the relative %-error for each of...
and B=21+3jtk. Find Question I Suppose A = 3ij-zk a lax BI ? b(+2B)x(2-B) ? c...
and B=21+3jtk. Find Question I Suppose A = 3ij-zk a lax BI ? b(+2B)x(2-B) ? c 18+B) x (A-5) | ? A and B) (Hint: A B is the vector product of Ascend vectors
A complex number is a number of the form a + bi, where a and b...
A complex number is a number of the form a + bi, where a and b are real numbers √ and i is −1. The numbers a and b are known as the real and the imaginary parts, respectively, of the complex number. The operations addition, subtraction, multiplication, and division for complex num- bers are defined as follows: (a+bi)+(c+di) = (a+c)+(b+d)i (a+bi)−(c+di) = (a−c)+(b−d)i (a + bi) ∗ (c + di) = (ac − bd) + (bc + ad)i (a...
1) If 3iis a zero of p(z)=az2+z3+bz−27, find the real numbers a and b. Enter them...
1) If 3iis a zero of p(z)=az2+z3+bz−27, find the real numbers a and b. Enter them in the form a,b 2) Factorise p(z)=z3−2z2+z−2 into linear factors. Enter them in the format z+3+I, z-6+5*I. 3) Consider p(z)=iz2+z3−2iz−4z2+i+5z−2. Given that z=2−i is a zero of this polynomial, find all of its zeros. Enter them in the form 2+3*I, 4+5*I, 6-7*I
b) Show that x, -x)-o a) Suppose Y =-X . Show in a diagram this function,...
b) Show that x, -x)-o a) Suppose Y =-X . Show in a diagram this function, what will be the correlation coefficient between X and Y? 4 the correlation coefficient must b) i) If the covariance between two variables is be positive. True or False? suggest? i) If the covariance between two variables is zero, what does it 5 a) Define mutually exclusive events and independent events bi) For two events A and B (which are not mutually exclusive) complete...
3. Let (X,B) be a symmetric
(n,k,λ)-design with B = {Bi : 1 ≤ i ≤ b} and let B′ ={X\Bi :
1≤i≤b}. Provethatifb−2r+λ>0then(X,B′)isa (n, n − k, b − 2r +
λ)-design.
-5 m/s and v 3 m/s. The field is given by B- Bi+ Bi where B 2 T and By 4T. The charge on the electron is -1.6 x 10-19 C. What force F is exerted on the electron by the magnetic field? A) B) F-4(j-,51+k ) F 8(i+j+k ) D) F 3.2 x 1019 (6i-3j +5k) E) F 1.28 x 1018 (j-i k)
Please use R to solve question 1.
Question 1 5 pts Binomial distribution: X~Bi(n=15,p=0.3). Evaluate Pr(2<x<7) and round to three decimal places (see Lab 2). Question 2 5 pts Poisson distribution: X~Poisson(lambda=4.5). Evaluate Pr(X<11) and round to three decimal places. Question 3 5 pts Assume that X is normally distributed (X-N(0,1)). Find Pr(X=3).
[4] (a) Find real numbers a and b such that a + bi = p.v.(-87]1/3. (b) Consider the following statement. ”Log(–z)2 = Logz2 because (-2)2 = 22. Therefore, 2 Log(-x) = 2 Logz.” Explain whether or not the statement is true. [4] (c) Consider the following statement. "The rational function P(3), where p and q are co-prime 9(2) non-constant polynomials, is holomorphic everywhere except at the set of zeros of q.” Does this explain if any primitive of P(z) is...
[4] (a) Find real numbers a and b such that a + bi = p.v.(-87]1/3. (b) Consider the following statement. ”Log(–z)2 = Logz2 because (-2)2 = 22. Therefore, 2 Log(-x) = 2 Logz.” Explain whether or not the statement is true. [4] (c) Consider the following statement. "The rational function P(3), where p and q are co-prime 9(2) non-constant polynomials, is holomorphic everywhere except at the set of zeros of q.” Does this explain if any primitive of P(z) is...
5) Consider the polynomial P() z2-z-1. (a) Find two integers n, m E Z, so that P(x) has a zero in [n, m. (b) Use the bisection method twice to get an approximation to the zero of P(x) in n, m] (c) Use Newton's method twice to get an approximation to the zero of P() in n,m (d) Use the quadratic formula to find the actual zero of P() in [n, m (e) Compute the relative %-error for each of...
and B=21+3jtk. Find Question I Suppose A = 3ij-zk a lax BI ? b(+2B)x(2-B) ? c 18+B) x (A-5) | ? A and B) (Hint: A B is the vector product of Ascend vectors
b) Show that x, -x)-o a) Suppose Y =-X . Show in a diagram this function, what will be the correlation coefficient between X and Y? 4 the correlation coefficient must b) i) If the covariance between two variables is be positive. True or False? suggest? i) If the covariance between two variables is zero, what does it 5 a) Define mutually exclusive events and independent events bi) For two events A and B (which are not mutually exclusive) complete...
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