. A 5-cycle has one edge attached with a vertex of degree 1 to a vertex in the graph. What is the total of the degrees of the vertices? a. Is the graph in #1 bipartite? Explain.

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Q: Let G be the group with presentation (x,y: 1² = 1, r² = y²₁ xy = y ¹). Decide how many elements are…

A: Consider the given group G with presentation, x,y:x4=1, x2=y2, xy=yx-1 it can be observed that it is…

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A: EMI = Principal * r * (1 + r)n(1+r)n - 1

Q: II) Solve the following equations. 3) cot ¹(1-2)-tan-¹(x)= k 7T

A: Given, equation in inverse trignometry function as cot(-11-x) -  tan-1( x )  = π4…

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A: A

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A: Given function is fx=3-x+sinx   To Use: Newton's method to approximate the zero(s) of the function.…

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A: Here A = {H, T}, B = {1, 2, 3, 4, 5, 6, 7}, and C = {red, green, blue}. We find n(B×C).

Q: Given g(s) = 6s² + 1, find the following. S

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Q: Choose the integral that would find the area inside r =3 sin 0 and outside r = 2-sin 0. -1

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Q: Company AT&T Bank of America Time to Maturity (years) Annual Rate (%) 10 3.40 10 4.00 General…

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Q: Find the kernel of the following differential operator. D3 - 10D2 + 25D = 0

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Q: 3. What is the partial fraction decomposition of the Laplace transform F(s) = A) B) B C A + + s+1 (s…

A: As 4,5 and 6 are not interrelated these are treated as different questions. As per our guidelines we…

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Q: 3) Find the vector projection of A onto B. (Projs A). b\ If possible, use matrix inversion method to…

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Q: Use the following function to answer parts a through c. 3 2 f(x)=x + 9x -213x-221 a. List all…

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Q: You wish to minimize f(x)=10X(1^2 )-X_(2^2 ). If you use steepest descent starting at (1,1)will you…

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Q: en C = 13 1 1 1 3 -) Find an orthogonal matrix P that diagonalizes C (i.e, P-¹C P-1 = pt) Find ¹0

A: C=311131113 Eigen value equation C-λI=0

Q: Compute the specified quantity. You take out a 5 month, $1,000 loan at 8% annual simple interest.…

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Q: If n(A U B) = 96 and n(A) = n(B) = 69, find n(A n B).

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A: Given Data: Annual dividends =248 $

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Q: Evaluate. The differential is exact. HINT: APPLY: Fundamental theorem of line integral. The initial…

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A: First we will find amount after 3 years of investment

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Q: Calculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the…

A: Given information Present value PV=$10,000. Rate of interest r=3.5% per year ⇒r=3.5100=0.035. Time…

Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer t $900,000…

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Q: Show that the graph is planar by finding a planar drawing. 00

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Q: 5. Solve the initial value problem. Express your solution as a single vector. 6 = (-³3 3) x, x(0) =…

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Q: purchases including a kebab frying machine which cost $64,000. She is investigating the best method…

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Q: (a) f(0) (b) f(2) X f(x) -3 1 -2 -1 0 1 3 6 3 -2 2 -1.5 3 1.25

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Q: What is the danger of extrapolating the data in either direction? O Extrapolating in the positive…

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Q: Find f(0) and then find the equation of the given linear function. f(0) = f(x) = X f(x) 1 2 3 4 69…

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Q: Fees Compute the specified quantity. You take out a 1-year, $5,000 loan at 7% simple annual…

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Q: Genetic computing Determine an optimum value for y from the following equation. y = (2x-11) = 6.…

A: As per the question we are given the following objective function : y = f(x) = (2x - 11)/6 And we…

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A: Given information: A bicycle factory produces 160 bicycles in a day at a total cost of 10,400$ It…

Q: Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated…

A: Given information Present value PV=$10,000 Rate of interest r=0.1% per month ⇒r=0.1100=0.001. Time…

Q: ound your answer to the ach month for 5 years at

A: Future value=FV=$6672.06