πι 3 + 1

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A: to test the function u(x,y) for harmonic condition, and if so,find its harmonic conjugate v

Q: Using the existence and uniqueness theorem for second order linear ordinary differential equations, ...

A: The given initial value problem is:

Q: Evaluate the Laplacian of the function zx2 x2 + y2+ z2 p(x, y,z)- (a) directly in Cartesian coordina...

A: (a) Let us calculate the Laplacian of the function directly in Cartesian co-ordinates :

Q: Chapter 1 Section 1.2 19. A section of a gear is shown. Given the formulas below and the circular pi...

A: Formula used: 

Q: pls explain to me step by step. pls write clearly and dont skip any steps. i will rate your answer i...

A: To analyze the nature of stability at the critical points of the given non-linear system

Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

Q: I do not understand number 8. Can you explain me how to do it?  Thank you.

A: As per norms, the three parts f, g and h are answered. Questions regarding relations and functions

Q: what is 2+ 2?

A: Obtain the value of the expression as follows.The number 2 is will be located at a distance of 2 uni...

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

A: As per norms the first three parts a),b) and c) are answered. To determine the various fuzzy propert...

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

Q: I need help for number 7. Thanks!

A: (a)Let

Q: Abstract Algebra   The definition as well as the problem is given in the picture.  Please help asap.

A: The solution is shown below:

Q: 16. Does this graph have an Eulerian circuit? If not, why not? If so, list one. List a Hamiltonian c...

A: To investigate the given graph for the required circuit  properties

Q: Use the method of separable equations to solve the following initial value problems. dx/dt= xsin(t)...

A: It is given that dx/dt=xsin(t) with initial condition x(0) =1 and xy′=y2 with initial condition y(1)...

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: Using any method you wish calculate the following function: g(x) = (27)-12 exp(-t2 / 2)dt Recall the...

A: To convert the evaluation of the definite integral to an initial value problem in ordinary different...

Q: lick Here For Printable Version Do not press Submit until all questions are colored green and you ha...

A: Calculation:Shade  (B Ո C) in the given venn diagram.In general intersection set of two set will con...

Q: Show that x^2 + x + 1 has a zero in some extension field of Z_2 that is a simple extension.

A: To show that the polynomial x2 +x+1 has a zero in some extension of Z2 :First let if possible, α be ...

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

A: Differentiation at fuzzy point.f'(A) of non-fuzzy function or fuzzy set A is defined as 

Q: Section L.2 Chapter 1 16. A manufacturer must describe a dimensioned part according to its x & y coo...

A: To fill the given chart that locates the holes and points that defines the part.In the given diagram...

Q: Let u and v be vectors in R^n. It can be shown that the set P of all points in the parallelogram det...

A: Given:

Q: Explain why G forms a field with respect to addition and multiplication. (You may quote relevant pro...

A: The two sets are

Q: Let z be a complex variable  z=x+iy question attached in pic

A: The problem concerns the evaluation of the given line integral along various paths  and to show that...

Q: For problems 1 through 11, use the following sets. The set U is the universal set. 0- -32, - 8, -2, ...

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

Q: Abstract Algebra Proofs: Looking for help.

A: To prove or disprove (by a counter example) the given statements on quotient groups

Q: Vector spaces 2 Pratice not test all of it

A: 35AObtain the standard matrix of the transformation as follows.Given that standard basis for P2 is {...

Q: Reduction of order can be used to find the general solution of a non-homogeneous equation. a2(x)y"+a...

A: Consider the given equation:

Q: Consider a smooth function f(x) with the following values. 3 -1 1 2 x f(x) -1 0 3 -1 (a) Write the p...

A: (a) The values of a smooth function are given as

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

A: To determine all the functions satisfying the given condtions

Q: a fair die is rolled four times. what is the probability of obtaining a 5, 3, 5, and 5, in that orde...

A: A fair die being rolled four times is equivalent to four independent dice being rolled simultaneousl...

Q: Let (X, d) be a metric space. Define dˆ : X × X → R, by: ˆ
d(x, y) = min{1, d(x, y)}. (a) Prove that...

A: To verify that d^ satisfies the axioms of a distance function 

Q: Let BCR be a subset of R. Prove that there is an ideal I of R such that B n I has at most one elemen...

A: To show that ideals I and J  exist satisfying conditions 1) and 2) 

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

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

Q: The differential equation for a freee-falling mass m near the surface of the earth is given by:  d2s...

A: Consider the equation:

Q: I need help with part B please!

A: Part (b):To draw the graph of y = f(-x)-2, some of the following results has to be used.Result used:...

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

A:

Q: Question attached in photo

A: To verify the given equality regarding the limit of f(z) (z a complex variable)

Q: 5. Sixteen people on a softball team show up for a game. a) How many ways are there to choose 9 play...

A: Find the number of ways to choose 9 players out of 16 people.

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

A: Consider the provided fuzzy bunch of functions:

Q: Find the particular solution to the initial value problem: y(4)+9y"=0, y(0)=1, y'(0)=2, y"(0)=1/2, y...

A: The differential equations are given by,

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

A: To analyze and classify the singular points of the given function of the complex variable z

Q: Abstract Algebra: Hello im looking for help on this problem

A: Let G be a group, and H be a normal subgroup of G.  Assume that G is cyclic.To prove: G/H is cyclic....

Q: rewrite the function F = (A ⊕ B) ⊕ C without the XOR operator, ⊕.

A: The given function is F = (A ⊕ B) ⊕ C.

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

A: To show the analyticity of the given functions by checking Cauchy-Riemann conditions

Q: Given the differential equation: xy"+y'+xy=0, x0=1 Find: Seek the power series solutions to the giv...

A: Consider the differential equation

Q: Two 10 member basketball teams play a game. After the game, each of the members of the winning team...

A: Given:Total number of members in two basketball team is 10 and every member shook hands only once wi...

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

A:

Q: Abstract Algebra (Proof writing): Looking for assistance on this problem please.

A: We claim that Φ is a well defined mapping and that Φ is an isomorphism.Thus we need to check the fol...

Q: Abstract Algebra. Answer in detail please.

A: There are two aspects of the problem: first to show that any quadratic extension of R is isomorphic ...