Math

Advanced MathQ&A LibraryPythagoras is attributed with the expressions a-2n + 1, b = 2 n2 + 2 n , and c-2 n2 + 2 n Pythagorean triples. Find five different Pythagorean triples using Pythagoras's formula. What is the relationship between the hypotenuse and the longest leg for triples found using this formula? Euclid gave a general expression for Pythagorean triples with x = 2 m n, y-m2-n2 , and z = m2 + n2 Find three Pythagorean triples using Euclid's formula that cannot be found using Pythagoras's formula described in the preceding problem.. 3.8 1 for 3.9 Triplet mInStart your trial now! First week only $4.99!*arrow_forward*

Question

Subject: Math Across the Ages

Hello this isn’t an advanced match course but I chose it since it doesn’t have a math subject for it. But the topic is on math during the Greek era of math.

I was hoping if you could explain how to get 3.8 or both 3.8 and 3.9. It is on Pythagorean triples.

Thank you.

Tagged in

Math

Advanced Math

Find answers to questions asked by students like you.

Q: at what points x in the interval (-1,1] can one use the Lagrange Remainder Theorem to verify the exp...

A: The LaGrange remainder theorem:f (x) be a real valued function defined in I,i) f (x) has derivative ...

Q: Prove that Q(3^(1/3), sqrt(3))= Q(3^(1/6)), where Q is the set of all rational numbers.

A: First observe that,

Q: Z is a complex variable z=x+iy question attached as photo

A: The closed integral is

Q: z is a complex variable z=x+iy pic attached with question Evaluate using L’Hospital’s rule

A: To calculate the limit of the given indeterminate form using L'Hosptial rule

Q: Indian Mathematics:

A: To convert the word problem to an equation and solve for the unknown (number of days)

Q: Abstract Algebra

A: To show that the degree of the minimal polynomial of any complex number over R is of degree at most...

Q: Indian Mathematics:

A: There is a journey of 4 gavyutis covered by a traveller who carries with him 4 prasthas of wine. 4 g...

Q: Abstract Algebra: Prove or disprove, as appropriate: If G and H are cyclic groups, then G x H is a...

A: If the direct product of two groups is cyclic, does it follow that each of them is cyclic?

Q: Abstract Algebra, Please answer in full details.

A: Click to see the answer

Q: Find the differential equation whose general solution is y=c1e4t+c2e-5t

A: Find the differential equation of given solution.

Q: 1. Suppose that f(z) is analytic for lz <1 and sa Show that there is a constant c < 1 such that |f(z...

A: To prove the estimate for }f(z)| over the disc or radius r, center 0

Q: Let A and B be sets. Prove that the intersection of A and B is is a subset of the union between A an...

A: To show that the elements which are common to both A and B belong to either A or B.

Q: 3. Suppose f(z) is continuous in the closed disk {려くR) and analytic in the open disk {|z| < R). Show...

A: To extend Cauchy's theorem to the boundary of the domain of anaylyticity ,under the given conditions

Q: Show that the families defined in Examples 5.3.1, 5.3.2, 5.3.3, and 5.3.4 are in fact uniformities. ...

A: As per norms , Question 5.3.2 (with multiplie parts) is answered. (the others may be posted as sep...

Q: Differential equations. Find the particular solutions to the given systems of equations. Please refe...

A: (a) The differential equation is given as

Q: Express K#S^2#T#2P as a connected sum of projective planes or as a connected sum of tori.

A: To express the given connected sum (of surfaces) in the required form

Q: 2. Let f and g be continous mappings on a metric space X into a metric space Y and E be a dense subs...

A: Note: As per rules, the three questions 2(a), 2(b) and 3(a) are solved. The problems concern behavio...

Q: 2. An entire function f: CC is said to be exponetial tupe if there are constant c.> o and Cz > o suc...

A: To establish the equivalence of conditions on the entire functions f and f'

Q: How many possible graphs can be created on 5 distinct vertices?

A: To calculate the total number of graphs with 5 vertices

Q: Question attached in photo

A: To calculate the line integrals with prescribed orientations of the paths

Q: Need help with Differential Equations homework. Help with 4 problems. Apply Laplace Transform to fin...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: solve (x^2y"-xy'+y=(x^2+1) using laplace transformsPlease show all your work, and do not use eulers ...

A: This is an exercise in solving differential equations by using Laplace transforms (and its propertie...

Q: Consider the mid-point rule for approximating a) Derive the erTor term b) Derive composite mid-point...

A: Consider the mid-point rule on the interval [a, b] for approximating

Q: Solve the initial value problem using the method of undetermined coefficients. y"+4y'+4y=(3+x)e-2x, ...

A: Consider the given initial value problem:

Q: Differential equations Find the particular solution to the initial value problem: (x+1)y"-(2-x)y'+y=...

A: Click to see the answer

Q: Abstract Algebra Proofs: Help a desperate college student out please.

A: Click to see the answer

Q: Z is a complex variable, z=x+iy question attached in photo

A: To calculate theline integral over different paths

Q: 3. Show that closed subspace of a complete metric space is complete. 4. Let f be a continuous mappin...

A: To prove the statements on the topology of metric spaces under the given conditions

Q: Solve the differential equation by the method of variation of parameters. y"+3y'+2y=1/(1+ex)

A: The differential equation is given by,

Q: Prove that Z ≈ E*, where Z is the set of integers and E* is the set of positive even integers.

A: To prove:

Q: the book is "First Course on Fuzzy Theory and Applications"

A: The formula to compute the membership fuctions is as follows.

Q: 2 How many subintervals does the composite trapezoid rule need to obtain the approximation of the fo...

A: Given function is

Q: Differential equations Consider the vectors x1(t) and x2(t) Please refer to attached image for vecto...

A: Obtain the Wronskian of the vectors as follows.

Q: Number 17.

A: Find the total length of the four cut pieces. Find the total amount of kerf taken with four cuts. Le...

Q: Z is a complex variable, z=x+iy

A: The z is complex variable with z = x + i y , and the given vertices are (0,0),(1,0),(1,1) and (0,1).

Q: the book is "First Course on Fuzzy Theory and Applications"

A: The provided set A is;

Q: I only need the explanation of question number 5, 6, and 7. I do not know how to do it.

A: Hey, since there are multiple questions posted, we will answer first question you asked for. If you ...

Q: z is a complex variable z=x+iy pic attached with question

A: To establish the analycity of the function under the given conditions.

Q: prove in a field with four elements, F = {0,1,a,b}, that 1 + 1 = 0.

A: The given four elements are F = {0, 1, a, b}.Consider ab belongs to F and then there are four possib...

Q: Abstract Algebra

A: To prove that mulitplication and division can be performed by striaghtedge and compass constructions

Q: Suppose f(z) is analytic for |z| <= 1, and |f(z)| >=1. If f(0) =1, prove that f(z) is constant...

A: To prove that the given conditions on the analytic function force it to be the constant function f(z...

Q: pls explain to me step by step and dont skip any step. i will rate your answer immediately. thanks a...

A: To analyze the given non-linear system at its critical point(s)

Q: Is multiplication modulo 6 a binary operation on Z6^*? why or why not?

A: Take two elements in the set.Check whether multiplication modulo 6 of two elements is again in the s...

Q: Pls explain to me step by step and pls dont skip any step. Thanks

A: To prove that the taxicab distance is actually a metric on the plane

Q: Subject: Elements if Set Theory By Herbert B. Enderton Having trouble with a written assignment gi...

A: It is required to prove the given set theoretic identities using mathematical induction

Q: if a true-false test with 5 queations is given, what is the probability of scoring (A) exactly 80% j...

A: To calculate the probabilities of the required events under the given conditions

Q: Pls explain to me step by step. Pls dont skip ay steps. thanks

A: Suppose P=(x0,y0) is an critical point of the system x\'=f(x,y) , y\'=g(x,y),and that f and g are di...

Q: Find the solution to the given initial value problem. 4y"-12y'+9y=0, y(0)=0, y'(0)=1

A: The given initial value problem is y"-12y’+9y=0 with initial condition y(0)=0 and y’(0)=1.

Q: Use the method of integrating factors to solve the initial value problem. y'+xy=x, y(0)=1

A: Click to see the answer

Q: Show that the following equations either are exact or can be made exact, and solve them: 2,,2 (b) 2x...

A: To modify (if necessary) the given equations into exact form and thus solve the equation