Question 67 Find the chromatic numbery of the ff. graph.

Q: Question 8 Suppose that H is a function of r satisfying H'(0) (1+-). N H" (r) – aH'(r) = 0, H'(0) = ...

A: Given second order homogeneous differential equation : H''r-aH'r=0, where H is a function of r. To s...

Q: 4. If K = { x € N| |x- 3| 0}. Then, TC R. 6. Let V = { x € Z| x* – 9x² + 20 = 0 }. Then, IP (V)| = 1...

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Q: = 1 – j3, Z, =- 2 + jE rm: a. z'z? z' ,2 b. 77

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three sub-pa...

Q: 1, FOR WHAT YALUE(s) OF k (IF ANY) IS THE FOLLOWING MATRIX SIN GULAR ? A =K K-I 3

A: 1 Given matrix is A=k000k−13011. We have to find that the value of k for which matrix A is singular....

Q: What type of graph is the ff.? 4. O ycle graph O complete graph O wheel graph O complete bipartite g...

A: a complete bipartite graph is a special kind of bipartite graph where every vertex of the first set ...

Q: Question 96 (A- B) u (B - A)u (An B) = O AUB OA-B ONone of the choices இ AMB

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Q: Find the Taylor's or Laurent's series expansion of the complex variable function which is represente...

A: Here we start the solution. Please check each step. 

Q: By convention whenever n > 1 and x, y e R", we write |x| = Jx > X;Yi- +...+ x; and (x, y) = i=1 1. C...

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Q: a) j (b) (c) (

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three sub-pa...

Q: -2x xe x (Express the answer in exact form

A: In the given question, the concept of Integral is applied. Integral Integration is a method of bring...

Q: Question 3. The local maximum of f(x) = e&z*+3z*+100 is located at a) x = 0 b) r = -1/2 c) r = -1/3 ...

A: Please find the detailed solution in below images. Also the answer is option c) x= -1/3

Q: Solve the initial value problem: dy + y = 0, y(7/3) = 0, y'("/3) = 2

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Q: Let Mn(R) be the set of n x n matrices with real entries. Define the sets V1 = {A € M2(R) | A = A"} ...

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Q: 2. La función f(t) =|1- está definida solo en el intervalo finito 0 <t<T. a) Definir F(t) como una e...

A: A function F(t) is odd, if F(t)=-F(-t)

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

A: Trapezoidal rule ∫ab​f(x)dx≈h2​(f(x0​)+2f(x1​)+f(x2​)+f(x3​)+⋯+f(xn−2​)+f(xn−1​)+f(xn​)   )    where...

Q: (x2) = 375 and (x) = 17; find variance in x (x2) = 1721 and (x) = 31, find variance in (xy) = 27, (x...

A: Introduction: Variance and covariance are two mathematical terms that are commonly used in statistic...

Q: За, n > 0, is n+1 ) One solution of the recursion relation an+2 = a) a2k+1 3*a1 k>0 2*k! b) a2k+1 3k...

A: We have to find the one solution of recursion relation.

Q: Directions: For each graph, write the equation of the line. 1. 2. 3.

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Q: Vhich ratio below is equivalent to the ratio 8: 200, as expressed in th able? 18:500, 18:475, 18:450...

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Q: Question 5. Suppose G is an Abelain group, |G| = n < ∞, and |g| # 2 for all g E G. Prove that the ma...

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Q: 17 3x1 6x2 X3 + X4 2x2 + 5x3 13x4 -4 - 2x3 + X4 -11 arameters name them s1. s2. etc... as needed. I|...

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Q: 1 (b) 1+j Evaluate (a) 1+j -25 (1+ j2 (3+ j4 2- j5 Show that = 57+j24

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Q: Given any set X and given any functions f: X to X, g: X to X, and h: X to X, if h is one-to-one and ...

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Q: Find a non-zero, 2 x 2 matrix such that: -5 -5 25

A: Solution

Q: f (t) = 2 sin(bt) sinh(bt)

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Q: 6. 7. Determine the solution to the I.V.P. y

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Question 5 Solve the following equation: 1

A: Given equation is ex2e5x=1e......1. We have to solve the given equation. The equation 1 can be writt...

Q: Parametrize the sine curve y = sinx using the parametrization r(t)=(t,sint), t ∈ R. (a) show that t...

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Q: pA -r + qvris Contingency O None of the choices O Tautology O Not WFF Contradiction

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Q: 2. Determine the convergence of the following sequences: a. {an} = {*an Зп?+4n) 2n-1 а. b. {bn} = (1...

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Q: Graph on a number line the month you were born(1 = January, 2 = February, etc) %3D %3D

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Q: 6. A PHARMACEUTICAL COMPANY PRODUCES THREE TYPES OF TABLETS EACH OF WHCH CONTAINS UNITS OF IRON AND ...

A: Introduction: The Gauss Jordan Elimination, also known as the Gaussian Elimination, is a method for ...

Q: Consider the solid shaped like an ice cream cone that is bounded by the functions z = x2 + y? and z ...

A: In polar co ordinate  x = r cosθ  , y = r sinθ  and dy dx = r dr dθ x2+y2=r cosθ2+r sinθ2=r2cosθ2+si...

Q: The general solution of æy" + xy' +(3x² – 16)y = 0 for a > 0 is Y = OCiJ/5 (4x) + c2J_va(4x) None of...

A: The Bessel's equation of order ρ is given by  x2y''+xy'+x2-ρ2y=0  Then the general solution of the B...

Q: 2. Find the volume of the solid obtained whe the region bounded by the curve y = sin(x), 0 < x < ™, ...

A: For the given information

Q: %3D 13 4 -6 3. -4 8 4 24 4 12 2 A = B = -5 6. 4 3. 2. %3D 2.

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Q: The form of the argument is: vx (P(x) → (Q(x) v R(x))) -R(John) John is a particular element P(John)...

A: In this question, the concept of argument is applied. Argument in Premises Every argument having tru...

Q: -2 (-T<Iく0) (0 <t<x) f(t) b.

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Q: Find the measure of the angle indicated in bold. x + 96 =      °

A: The horizontal lines are parallel and the vertical line is perpendicular to both the horizontal line...

Q: What is the value of 322 + 72 +1 z+1 zp-

A: By Cauchy integral theorem, if a function is analytic with in and on the boundary of a simple closed...

Q: P In OP, m<WPX =38, m<ZPY = 95. Find the following- V

A: # we are entitled to solve three subparts at a time ,please resubmit the other parts if you wish to ...

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

A: we have differential equation y''+2y'+y=0 given y1(x)=xe-x  thenwe have to find y2(x)  

Q: 1. Classify the following differential equations as to ODE/PDE, order, degree, linearity, coefficien...

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Q: Find the radius of convergence for each of the following. (a) En=1 z" 10 n%31 (b) En=1 n%3D1 72

A: To find radius of convergence of given functions.

Q: int at which the line ⟨4,−1,−5⟩+t⟨−3,3,2⟩⟨4,−1,−5⟩+t⟨−3,3,2⟩ intersects the plane −x+y+5z=18−x+y+5z=...

A: Given the line 4,-1,-5+t-3,3,2  intersects the plane -x+y+z=18.

Q: Write limits of integration for the integral Sw 9(x, y, z) dV, where W is the half cylinder shown, i...

A: The limits of integration have a critical role in evaluating a triple integral. A triple integral in...

Q: Define a function f: Z* to Z* by the rule: for each integer n, f(n) = the sum of the positive diviso...

A:

Q: 7. Solve the initial value problem: dy + y = 0, y(7/3) = 0, y'(T/3) = 2 d02

A: Given the differential equation is d2ydθ2+y=0, yπ3=0, y'π3=2

Q: [2 1 A = 3 2 l2 1 21

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Q: Answer Directly Choose the letter that corresponds to your answer Given: Let p. q. and rbe the propo...

A: We know,  A truth table is a mathematical table. It consist column for each input variable and one f...