Homework Answers
(1 point) Find the first five non-zero terms of power series representation centered at x = 0 for the function below. f(x) = arctan(3) Answer: f(x) = + 0 1 /4 What is the radius of convergence? Answe...
(1 point) Find the first five non-zero terms of power series representation centered at x = 0 for the function below. f(x) = arctan(3) Answer: f(x) = + 0 1 /4 What is the radius of convergence? Answer: R= 4
(1 point) Find the first five non-zero terms of power series representation centered at x = 0 for the function below. f(x) = arctan(3) Answer: f(x) = + 0 1 /4 What is the radius of convergence? Answer: R= 4
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b....
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
Let f(x) = 7x + 1 be the function such that f(x) = 6x2 + 2-1...
Let f(x) = 7x + 1 be the function such that f(x) = 6x2 + 2-1 n2". n=0 Q6.1 10 Points 1 Using the well-known geometric series r" = , |* |< 1, find the formula of Cand n=0 find the domain D of the function f. Please select file(s) Select file(s) Save Answer Q6.2 8 Points Using part Q6.1, find the value of the 102nd derivative of f(x) at x = 0; that is, find f(102)(0). Please select file(s)...
please do 9 Find a function f(x) with power series f(x) E-1n3 x" 9. 10. Use...
please do 9
Find a function f(x) with power series f(x) E-1n3 x" 9. 10. Use a power series to show that 0.999...= 1 n(1+1/n) 11. Determine the convergence/divergence of n-11+1/0 12. Find the length of the curve c(t) (Tt+e,2 cos t,2 sin t) for 0t T (1+3) converge? 13. To what value for the sequence an 14. Does the series ne- converge?V 15. Give an example of u, v E R3 perpendicular and with no zero entries in
Find...
Consider the function below. f(x) = x^2 / ( x - 8 ) ^2 (a) Find...
Consider the function below. f(x) = x^2 / ( x - 8 ) ^2 (a) Find the vertical and horizontal asymptotes. x= y= (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is decreasing. (Enter your answer using interval notation.) (c) Find the local minimum value. (d) Find the inflection point. (x, y) = e :Find the interval where the function is concave up. (Enter your answer using...
(i) Find a non-zero polynomial in Z3 x| which induces a zero function on Z3. f(x), g(x) R have degree n and let co, c1,...
(i) Find a non-zero polynomial in Z3 x| which induces a zero function on Z3. f(x), g(x) R have degree n and let co, c1,... , cn be distinct elements in R. Furthermore, let (ii) Let f(c)g(c) for all i = 0,1,2,...n. g(x) Prove that f(x - where r, s E Z, 8 ± 0 and gcd(r, s) =1. Prove that if x is a root of (iii) Let f(x) . an^" E Z[x], then s divides an. aoa1
(i)...
Find a power series representation for the function. f(x) = فيه (x – 4)2 00 f(x)...
Find a power series representation for the function. f(x) = فيه (x – 4)2 00 f(x) = Σ no Determine the radius of convergence, R. R = Evaluate the indefinite integral as a power series. Je at c+ Σ ΦΟ η = Ο What is the radius of convergence R? R = Find the radius of convergence, R, of the series. 3n Σ n! n=1 R= Find the interval, 1, of convergence of the series. (Enter your answer using interval...
9.A discrete random variable X has pdf of form f(x) x-1,2, ...n, and zero otherwise. A) Find c. B) Find an expressi...
9.A discrete random variable X has pdf of form f(x) x-1,2, ...n, and zero otherwise. A) Find c. B) Find an expression for f (x). 10. If f(x) Cx for x 1,2,3, ... pq*-1 otherwise Find an expression for F(x). Show your work!
9.A discrete random variable X has pdf of form f(x) x-1,2, ...n, and zero otherwise. A) Find c. B) Find an expression for f (x). 10. If f(x) Cx for x 1,2,3, ... pq*-1 otherwise Find an...
Let f (x) = 2 − 10x, −π < x < π. Using the same notation...
Let f (x) = 2 − 10x, −π
< x < π. Using the same notation as in
Problem #1 BELOW*,
(a)
find the value of c0.
(b)
find the function
g1(n, x).
(c)
find the function
g2(n, x).
childemath.ca 2008((2pl/9). Step-by-Step Calculator - Symbola Math 2223 Sum Problem Enter your answer as a symbole function of, as in these examples Just Save Submit Problem for Grading Problem 1 Attempt 1 Your Answer: 1(a) 10) 106) Your Mark 1) 1(0)...
For x[n]-(0.3). 1. a. (2 pts) Find the z-transform, X(z b. (3 pts) Sketch the pole-zero...
For x[n]-(0.3). 1. a. (2 pts) Find the z-transform, X(z b. (3 pts) Sketch the pole-zero plot. c. (3 pts) Find the region of convergence of the transform. Sketch it in the z-plane. d. (3 pts) Use your answer in part a to write down the DTFT of x,[n]=(0.3)"u[n]. Why is it necessary to multiply by the unit step function to get the DTFT?
(1 point) Find the first five non-zero terms of power series representation centered at x = 0 for the function below. f(x) = arctan(3) Answer: f(x) = + 0 1 /4 What is the radius of convergence? Answer: R= 4
(1 point) Find the first five non-zero terms of power series representation centered at x = 0 for the function below. f(x) = arctan(3) Answer: f(x) = + 0 1 /4 What is the radius of convergence? Answer: R= 4
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
Let f(x) = 7x + 1 be the function such that f(x) = 6x2 + 2-1 n2". n=0 Q6.1 10 Points 1 Using the well-known geometric series r" = , |* |< 1, find the formula of Cand n=0 find the domain D of the function f. Please select file(s) Select file(s) Save Answer Q6.2 8 Points Using part Q6.1, find the value of the 102nd derivative of f(x) at x = 0; that is, find f(102)(0). Please select file(s)...
please do 9
Find a function f(x) with power series f(x) E-1n3 x" 9. 10. Use a power series to show that 0.999...= 1 n(1+1/n) 11. Determine the convergence/divergence of n-11+1/0 12. Find the length of the curve c(t) (Tt+e,2 cos t,2 sin t) for 0t T (1+3) converge? 13. To what value for the sequence an 14. Does the series ne- converge?V 15. Give an example of u, v E R3 perpendicular and with no zero entries in
Find...
(i) Find a non-zero polynomial in Z3 x| which induces a zero function on Z3. f(x), g(x) R have degree n and let co, c1,... , cn be distinct elements in R. Furthermore, let (ii) Let f(c)g(c) for all i = 0,1,2,...n. g(x) Prove that f(x - where r, s E Z, 8 ± 0 and gcd(r, s) =1. Prove that if x is a root of (iii) Let f(x) . an^" E Z[x], then s divides an. aoa1
(i)...
Find a power series representation for the function. f(x) = فيه (x – 4)2 00 f(x) = Σ no Determine the radius of convergence, R. R = Evaluate the indefinite integral as a power series. Je at c+ Σ ΦΟ η = Ο What is the radius of convergence R? R = Find the radius of convergence, R, of the series. 3n Σ n! n=1 R= Find the interval, 1, of convergence of the series. (Enter your answer using interval...
9.A discrete random variable X has pdf of form f(x) x-1,2, ...n, and zero otherwise. A) Find c. B) Find an expression for f (x). 10. If f(x) Cx for x 1,2,3, ... pq*-1 otherwise Find an expression for F(x). Show your work!
9.A discrete random variable X has pdf of form f(x) x-1,2, ...n, and zero otherwise. A) Find c. B) Find an expression for f (x). 10. If f(x) Cx for x 1,2,3, ... pq*-1 otherwise Find an...
Let f (x) = 2 − 10x, −π
< x < π. Using the same notation as in
Problem #1 BELOW*,
(a)
find the value of c0.
(b)
find the function
g1(n, x).
(c)
find the function
g2(n, x).
childemath.ca 2008((2pl/9). Step-by-Step Calculator - Symbola Math 2223 Sum Problem Enter your answer as a symbole function of, as in these examples Just Save Submit Problem for Grading Problem 1 Attempt 1 Your Answer: 1(a) 10) 106) Your Mark 1) 1(0)...
For x[n]-(0.3). 1. a. (2 pts) Find the z-transform, X(z b. (3 pts) Sketch the pole-zero plot. c. (3 pts) Find the region of convergence of the transform. Sketch it in the z-plane. d. (3 pts) Use your answer in part a to write down the DTFT of x,[n]=(0.3)"u[n]. Why is it necessary to multiply by the unit step function to get the DTFT?
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