what is the maximum size of independent set ? And give examples

Q: Find the inverse laplace of F (s) = %3D (s2+a²)(s²+b²) consider a? + b°, ab #0 a sin at+b sin bt O…

A:

Q: 2. Using the given pairs of x and f(x), construct a an appropriate table (difference or divided…

A: We have to find f(5) and the equation of the polynomial that will fit the given points.

Q: В C -21 72 57 65 29 G 16 84 AO 33 -19- 91 25 81 47 102 F

A: Sol

Q: Q2. Fined h[2Stnat.cosst] Hint L2 Sin A Cosß = Sin CA+B)+SfnCA-B) %3D

A: As per the policy of bartleby the provisions is to solve only one question at a time i am solving…

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: We have to find the maximum and minimum value of the given function.

Q: In this problem, y c, cos(4x) + c, sin(4x) Is a two-parameter family of solutions of the…

A:

Q: Solve the following differential equation using any method you want from the entire semester y"-5y'…

A:

Q: The trial solution for the non-homogeneous equation d'y + 9y = 1+ xe* is dx²

A:

Q: In a CCS block of 45 students: 32 enrolled in DISCTRU; 23 enrolled in COMPRO2; 18 enrolled in…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: There is a quiz on SCIENCE today and you are preparing your notes and calculator. Later, you noticed…

A: Solution :      Let us define the following symbols: mr : I was replacing my calculator batteries in…

Q: 1. Suppose that f : [0, 0) → R is continuous and f(x) # 0 for all x > 0. If we have (f(x))? = 2…

A:

Q: How much is P1,200 worth at the end of 1 year if the interest rate of 5.5% is compounded quarterly?…

A:

Q: 5. Fill in the blank: For x, y E R. Equality in the Triangle inequality is satisfied, i.e. |x+y| =…

A: Let us consider x,y be any real number  then  Inequality Resultant xy>0 x>0 and y>0…

Q: Suppose the function g is defined by g(x) = { e-1/x x > 0 0, x 0, g(k) (x) Pk(x) e-1/x, for some…

A: Sol

Q: Find the laplace transform of f (t) = 2t1 – 3et + 10 cos 2t %3D

A: We will use property and tables of laplace transformation

Q: Let G = (V, E) be a graph with V = {a, b, c, d, e, ƒ} and E = {{a,b}, {a, d},{a, c}, {c, b}, {e, b},…

A:

Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: Verify that the functions f1(x) = 1, f2(x) = sin x, and f3(x) = cos x are orthogonal in [−π, π], and…

A:

Q: (a) Find the partial derivative of f with respect to x. fx(X, y) = (b) Find the partial derivative…

A:

Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 5 -5+

A:

Q: Determine the critical points and locate any relative minima, maxima and saddle points of function f…

A: Maximum and minimum in two variables using second derivative test

Q: Suppose p is the statement 'I play softball' and q is the statement The moon is 250.000 miles from…

A:

Q: A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 4. In circle A, NA PA, MO1 NA, RO 1 PA, MO-5R What is PO? M A. 10 ft B. 2.5 ft C. 5ft D. 25 ft Find…

A:

Q: Computations Direction: Find (A U B), (A n B), and A\B of the following sets. Note: R - set of real…

A: 2. Given A = a, a, b   and    B = b, a, b

Q: В -21 72 57 29 16 65 84 А 33 -19 D 91 81 47 102 F E 25

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. - 12n…

A:

Q: Consider the graph given above. Give an Euler trail through the graph by listing the vertices in the…

A: For a connected graph, the path of the graph that visits each edge exactly once is called the Euler…

Q: In three dimensions the equation x² + y? = 1 represents a Similarly, the equation y +z = 1…

A: We will answer this question by analysing figures given in the question

Q: 9. 8 6. 5 4 2 3 1

A:

Q: (x – 2)² – In x = 0, [1,2]

A: The given equation is x-22-ln x=0 the formula for the secant method is given by…

Q: 1) Prove that for any space, X, with any topology, T, that: (i) CI(X) = X and (ii) Int(X) = X.

A:

Q: Example 3.37. Solve the equations 2x2 + 3xy + y? = 3, 4x² + 2xy +y = 30 correct to three decimal…

A: Here, We need to use the newton-raphson method. x0 = -3 y0 = 2

Q: MC; MC, = S Price Quantity Figure 9 Demand curve and marginal private and social cost curves Towards…

A: Given that the curve MCp+t External costs is defined as the impact of a thing or service on a third…

Q: f(5.7) of the following table by using Finite differences is 1 2 4 y 1 6. 82 177 264.612 .a 284.712…

A:

Q: В -21 72 57 65 29 G 16 84 -33 -19 D 91 25 81 47 102

A: Sol

Q: An orthogonal basis for the column space of matrix A is {v1, v2, V3). Use this orthogonal basis to…

A:

Q: romises are sincere.

A: Option a - some  campaign promises are sincere

Q: what is the symmetric difference ? And give examples

A:

Q: 8. For question, 7, what is the minimum and maximum for the union of the intervals A_n's? min S…

A:

Q: For the function f(x)=xe-x^2 determine the coordinates of all intercepts, critical points and points…

A: Given the function fx=xe-x2 Firstly, to determine the coordinates of all intercepts. Let y=xe-x2 Put…

Q: Show that f(x) = is uniformly continuous by definition on the interval (-1,1) . 4 - *

A:

Q: 7.2) Consider the production function Y = 24KL find (i)- (1) (1) (ii)

A:

Q: Using "Numerical Differentiation (Central Finite Difference)" Problem Solving f(x) = 4e-2x sin(x2)…

A: Sol

Q: Determine whether the set of ordered pairs is a function. {(3, 1), (3, 2), (3, 3), (3, 7)} O…

A:

Q: d) Determine the form of a particular solution of y() + 9y" = 1- 8 sin 3x Do NOT SOLVE for the…

A:

Q: Let T: R2 R2 be a linear trasformation such that T (x1, 22) T (x) = (3, 1). (x1 +x2, 2x1 + 3x2).…

A:

Q: (b) Construct the harmonic conjugate of c with respect to a and b [Hint: use the dual of the…

A: Sol

Q: 8. A 200 mg dose of a drug is given to a patient every 12 hours. After 12 hours (right before the…

A: Given that,A 200 mg dose of a drug is given to a patient every 12 hours.After 12 hours, only 30% of…

Q: 2. A climbing vine is taking over the side of a building. At first the vine only covered 10% of the…

A: Introduction: A differential equation has one or more equilibrium points. The equilibrium points are…