Q/ prove that :- For any graph GX (G) A (G) +1

Q: Q1: solve the system y 2 In √√x² + y2 X y = −y + In √√x² + y2 and solve the linear part.

A: Step 1: Identify the Linear SystemThe given system is: x˙=−x−lnx2+y2​y​ y˙​=−y+lnx2+y2​x​To extract…

Q: By considering appropriate series expansions, e². e²²/2. e²³/3. .... = = 1 + x + x² + · ... when |x|…

A: To deduce that:18!≡−1(mod19)let's go step by step, connecting it to the given series expansion. Step…

Q: 3. Consider the following theorem: Theorem: If n is an odd integer, then n³ is an odd integer. Note:…

A: Please feel free to comment if you have any questions

Q: = Use Qin's method to solve the pure cubic equation x³: 12,812,904. Compare this method with the old…

A: Solving the Pure Cubic Equation x3=12,812,904 Using Qin Jiushao's MethodIn the 13th century, the…

Q: pls help and show all work pls

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Q: Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram…

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Q: PLEASE ALL PARTS!!!

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Q: Advanced Math Question

A: 1. The population of two towns is 265,846 and 486,720. How much less than 1,000,000 is this? 265,846…

Q: Pls help ASAP

A: The circle graph (pie chart) represents Amy's expenses for one month. Amy spent a total of $1,485…

Q: Q11. Write each one of the following decimals in quotient of integers. Show your work. a) 2.3434 ...…

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Q: 4. Prove the following. Use full sentences. Equations in the middle of sentences are fine, but do…

A: (a) (n+3)2 is odd for every even integer n We will prove that (n+3)2 is odd whenever n is an even…

Q: Construct a table of values for all the nonprincipal Dirichlet characters mod 16.

A: In order to construct a table of values for all of the nonprincipal Dirichlet characters modulo 16,…

Q: By considering appropriate series expansions, prove that ez · e²²/2 . e²³/3 . ... = 1 + x + x² + ·…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: No chatgpt pls will upvote Already got wrong chatgpt answer

A: Step 1:The given problem is a differential equation of the form x′(t)=Ax(t), where A is a 2 by 2…

Q: Can you evalutate the following summation:∑_{y=1}^{x} 2 / ((x + y - 1)(x + y + 1))

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Q: 10. In the general single period market model with = {W1, W2, W3}, one risky asset, S, and a money…

A: (a) Calculate all risk-neutral probability measures for this model.step 1A risk-neutral probability…

Q: ex dx √√√5-4ex + e 2x 5

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Q: i) Consider the set S = {−6, −3, 0, 3, 6}. Draw a graph G whose set of verti- ces be S and such that…

A: Part (i): Constructing Graph G from Set SWe are given the set: S = {-6, -3, 0, 3,I'll first draw…

Q: Q/Given the function H (X,Y) = H (X,Y) = y 2 X2 2 2 ²** 3 as a first integral, find the correspoding…

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Q: Pls help asap

A: Step 1:Easy method for division    Step 2: Step 3: Step 4:

Q: pls help

A: Step 1:

Q: Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram…

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Q: A 20 lb horizontal force P acts on a bell crank as shown below. (a) Replace P with an equivalent…

A: This problem appears to involve static equilibrium and moments in a lever system. I'll solve it step…

Q: Not use ai please

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Q: a) If is a polynomial function, does always have to have a horizontal asymptote? If no, provide a…

A: Step 1: Step 2: Step 3: Step 4:

Q: 3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains either a value…

A: PART AGraph Representation of a SpreadsheetA spreadsheet can be modeled as a directed graph…

Q: Pidgeonhole Principle 1. The floor of x, written [x], also called the integral part, integer part,…

A: ANS : 1 ​ Understanding Floor and Ceiling Functions : ​Floorfunction⌊x⌋: The greatest integer less…

Q: Is the number "-4" even, odd, or neither? Use the definition of even/odd to explain why your answer…

A: An integer, denoted as 'n', is classified as even if and only if it is divisible by 2. This…

Q: Please help with as much detail as possible.  Thanks   for k(x)=4/5 x - 6, determine k -1(8)

A: Given function, k(x)=54​x−6 Find the inverse function, Replace x with k-1(x) and k(x) with x,…

Q: Find the complete set of values of the constant c for which the cubic equation 2x³-3x²-12x + c = 0…

A: We need to determine the values of c for which the cubic equation  2x3−3x2−12x+c=0 has three…

Q: Let 1 1+ + + + 2 3 1 r 823 823s Without calculating the left-hand side, Find one solution of the…

A: To solve the given polynomial congruence:3x2+2x+100≡0(mod343) Step 1: Factorizing 343Since 343=73,…

Q: 1. Show that f(x) = x3 is not uniformly continuous on R. 2. Show that f(x) = 1/(x-2) is not…

A: Step 1: Step 2:Step 3: Step 4:

Q: Use Euler and Heun methods to solve y' = 2y-x, h=0.1, y(0)=0, compute y₁ y5, calculate the…

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Q: No chatgpt pls will upvote Already got wrong chatgpt answer

A: The given differential equation is: y′′+4y′+13y=δ(t−1) To solve this using the variation of…

Q: Find the directional derivative of the function at P in direction V

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Q: Please help.

A: Problem 9: Answer Choice:The correct answer is (b) x=6,x=−2 Problem 10:Answer Choice:The correct…

Q: 10. Prove that a finite set of points Z1, Z2, Zn cannot have any accumulation points.

A: To prove that a finite set of points z1​,z2​,...,zn​ cannot have any accumulation points, we follow…

Q: I am confused regarding this question. This is for the math course differential equations.

A: Given that 15 grams of C is formed in 10 minutes, we can calculate the rate of reaction as…

Q: b) Solve the following linear program using the 2-phase simplex algorithm. You should give the…

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Q: Consider the proof below: Proposition: If m is an even integer, then 5m +4 is an even integer.…

A: To sum up, the assumption should be stated plainly, the argument should be introduced more clearly,…

Q: Please solve number 2.

A: Problem 1 : Using a Computer Algebra System (CAS), we need to determine the eigenvalues λ  for the…

Q: | Let C be a circle (with a positive radius) such that z = 1 lies in its interior. Evaluate the…

A: We can apply the generalized Cauchy Integral Formula for derivatives. Recall that if f(z) is…

Q: lim 1 x→0x3 3 So²² 6 tln(1+t) t4 +4 .dt 2

A: We need to evaluate:  limx→0​x31​∫0x​t4+4tln(1+t)​dt  Step 1: Consider the Integral for Small t…

Q: Matlab. Awnser the * parts in the comments of the code.

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Q: 21: A: Let f be a function from a normed space X in to a normed space Y. show that of continuous iff…

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Q: So let's see, the first one is the first one, and the second one is based on the first one！！

A: Step 1:Step 2:Step 3:Step 4:Step 5: Step 6:If you have further questions, feel free to ask me.

Q: Let G be a graph with the following properties: G is simple, connected and planar. Every vertex of…

A: We determine whether such a graph exists and find the number of vertices, edges, and faces as…

Q: Prove for any graph G, δ(G) ≤ d(G) ≤ ∆(G) using the definition of average degree, make a formal…

A: prove the inequality δ(G) ≤ d(G) ≤ ∆(G) formally using the definition of average…

Q: Consider the probability distribution below. 10 20 30 40 f(x) 0.3 0.4 0.2 0.1 The expected value of…

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Q: 3. (a) (b) Prove the following logical argument using the rules of inference. Do not make use of…

A: More explain