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1. Use a factor tree to find the prime factorization of 3960. Show your work. 2....
Please show all your work for credit. a). Use the Remainder Theorem and synthetic division to...
Please show all your work for credit. a). Use the Remainder Theorem and synthetic division to find the function value. Verify your answer using another method b) Use the Remainder Theorem and synthetic drvision to find the function value. Verify your answer using another method f(x) 4x-3x 2x -4, (2) a) Using the facto(+5x+2), find the remaining factorte) off (x) +6x +3x- 10 and winte the polynomial in fully factored form. ) Using the factors (3x + 2) and (x...
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that...
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that divides evenly into those two 3 #numbers. For example, the Greatest Common Factor of 48 4 #and 18 is 6. 6 is the largest number that divides evenly 5 #into 48 (48 / 6 = 8) and 18 (18 / 6 = 3). 6 # 7 #Write a function called find gcf. find gcf should have 8 #two parameters, both integers. find_gcf should return...
Question 3 (a) Write down the prime factorization of 10!. (b) Find the number of positive...
Question 3 (a) Write down the prime factorization of 10!. (b) Find the number of positive integers n such that n|10! and gcd(n, 27.34.7) = 27.3.7. Justify your answer. Question 4 Let m, n E N. Prove that ged(m2, n2) = (gcd(m, n))2. Question 5 Let p and q be consecutive odd primes with p < q. Prove that (p + q) has at least three prime divisors (not necessarily distinct).
1. a) Find the LU factorization of A. b) Use this factorization to determine the cost of bushel ...
1. a) Find the LU factorization of A. b) Use this factorization to determine the cost of bushel of each type of grain. (Hint: L(Ux) = b.) State your answer in the form "one bushel of high-grade grain costs $x", etc. c) What is the exact linear combination of the column of A that gives b? What geometric objects (lines in R2, planes in R3, 3-D spaces, etc.) are represented by each equation in the system, and in what ways...
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by...
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by computing LU -1 4 5 a) 6 2 -4 1 -21 (b) Find the determinants of the following matrices. Show all your calculations and steps: [-1 4 51 a)6 2 -4b) 0 6 8 2 -4 3 3 2 6 8 10
x+5 + 4. Solve +7x+2 x-1 212+5x+2 3x28x+4 (a) You know the drill! Factor the denominators!...
x+5 + 4. Solve +7x+2 x-1 212+5x+2 3x28x+4 (a) You know the drill! Factor the denominators! (NOTE: If you need help factoring these polynomials, see Helping Handout: Lab 1B) i. Factor the first denominator: 6x2+7x +2 = ( OC ) ii. Factor the second denominator: 3x+8x+4-( iii. Factor the third denominator: 2x2+5x+2 = ( ) (b) Rewrite with factored denominators: x+5 x-1 X + (2x+ 1)(3x+2) x+2)(3x+2 ) (c) Find the restrictions: (x+2) (2x+1) AND AND (d) Find the LCM:...
For the function f (x) = 2 - $220 + 4x& , show supporting work for...
For the function f (x) = 2 - $220 + 4x& , show supporting work for each of the following questions. Wherever possible, leave your work and answer in exact form. A desmos calculator is permitted for confirmation. 1. Use the 3.1 rules of differentiation to find the slope of f (x) at x = 1. (This means that the product, quotient, and chain rules are not available yet.) 2. Find an equation of the tangent line using your derivative...
in the below questions you snould always show your work to get grades Question 1: Consider...
in the below questions you snould always show your work to get grades Question 1: Consider the following K-map. Answer the below questions. 1. Find all prime implicants (10 points) 2. Find all essential prime implicants (10 points) 3. Determine the minimum SOP form of F (10 points) 4. What is the value of the don't care corresponding to (A,B,C,D) = (0,0,0,1)? Explain (10 points) 5. What is the value of the don't care corresponding to (A,B,C,D) = (1,1,0,0) ?...
That is a z' (z prime), not z^12. Please answer all parts and show full work,...
That is a z' (z prime), not z^12. Please answer all parts and
show full work, thank you!
x(m) (25 pts) Problem 3 The Savart Law This problem is similar to that of Problem 1 except here we have an infinite wire with current I(z) at the point (x-2,y 3,-0) using the Bigt -Savart Law. A and we will be finding the magnetic field H due to this current 13) +13 10 (2,3,0 dl r(0,0,z) -5 -10 (a) What is...
please show work 13. 0/2 points Previous Answers StitzCA3 3.2.031. For the polynomial function given below,...
please show work
13. 0/2 points Previous Answers StitzCA3 3.2.031. For the polynomial function given below, one of the zeros is x = 3. Find the remaining real zeros. (Ent enter the zero given.) P(x) = x3 - 12x2 + 47x - 60 x = Write the polynomial function in factored form. p(x) = x2 - 7x + 12 Additional Materials Reading Submit Answer Practice Another Version Viewing Saved Work Revert to Last Response View Previous Question Question 13 of...
Please show all your work for credit. a). Use the Remainder Theorem and synthetic division to find the function value. Verify your answer using another method b) Use the Remainder Theorem and synthetic drvision to find the function value. Verify your answer using another method f(x) 4x-3x 2x -4, (2) a) Using the facto(+5x+2), find the remaining factorte) off (x) +6x +3x- 10 and winte the polynomial in fully factored form. ) Using the factors (3x + 2) and (x...
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that divides evenly into those two 3 #numbers. For example, the Greatest Common Factor of 48 4 #and 18 is 6. 6 is the largest number that divides evenly 5 #into 48 (48 / 6 = 8) and 18 (18 / 6 = 3). 6 # 7 #Write a function called find gcf. find gcf should have 8 #two parameters, both integers. find_gcf should return...
Question 3 (a) Write down the prime factorization of 10!. (b) Find the number of positive integers n such that n|10! and gcd(n, 27.34.7) = 27.3.7. Justify your answer. Question 4 Let m, n E N. Prove that ged(m2, n2) = (gcd(m, n))2. Question 5 Let p and q be consecutive odd primes with p < q. Prove that (p + q) has at least three prime divisors (not necessarily distinct).
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by computing LU -1 4 5 a) 6 2 -4 1 -21 (b) Find the determinants of the following matrices. Show all your calculations and steps: [-1 4 51 a)6 2 -4b) 0 6 8 2 -4 3 3 2 6 8 10
x+5 + 4. Solve +7x+2 x-1 212+5x+2 3x28x+4 (a) You know the drill! Factor the denominators! (NOTE: If you need help factoring these polynomials, see Helping Handout: Lab 1B) i. Factor the first denominator: 6x2+7x +2 = ( OC ) ii. Factor the second denominator: 3x+8x+4-( iii. Factor the third denominator: 2x2+5x+2 = ( ) (b) Rewrite with factored denominators: x+5 x-1 X + (2x+ 1)(3x+2) x+2)(3x+2 ) (c) Find the restrictions: (x+2) (2x+1) AND AND (d) Find the LCM:...
For the function f (x) = 2 - $220 + 4x& , show supporting work for each of the following questions. Wherever possible, leave your work and answer in exact form. A desmos calculator is permitted for confirmation. 1. Use the 3.1 rules of differentiation to find the slope of f (x) at x = 1. (This means that the product, quotient, and chain rules are not available yet.) 2. Find an equation of the tangent line using your derivative...
in the below questions you snould always show your work to get grades Question 1: Consider the following K-map. Answer the below questions. 1. Find all prime implicants (10 points) 2. Find all essential prime implicants (10 points) 3. Determine the minimum SOP form of F (10 points) 4. What is the value of the don't care corresponding to (A,B,C,D) = (0,0,0,1)? Explain (10 points) 5. What is the value of the don't care corresponding to (A,B,C,D) = (1,1,0,0) ?...
That is a z' (z prime), not z^12. Please answer all parts and
show full work, thank you!
x(m) (25 pts) Problem 3 The Savart Law This problem is similar to that of Problem 1 except here we have an infinite wire with current I(z) at the point (x-2,y 3,-0) using the Bigt -Savart Law. A and we will be finding the magnetic field H due to this current 13) +13 10 (2,3,0 dl r(0,0,z) -5 -10 (a) What is...
please show work
13. 0/2 points Previous Answers StitzCA3 3.2.031. For the polynomial function given below, one of the zeros is x = 3. Find the remaining real zeros. (Ent enter the zero given.) P(x) = x3 - 12x2 + 47x - 60 x = Write the polynomial function in factored form. p(x) = x2 - 7x + 12 Additional Materials Reading Submit Answer Practice Another Version Viewing Saved Work Revert to Last Response View Previous Question Question 13 of...
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