18. The graph of 3[H(t2) - H(t-3)] is given by:

Q: The general solution of the equation (D4+D²)y= -12 is Ay=c₁ + C₂X + c3cOSX + Casinx -3x² B y=C₁ +…

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Q: hav

A: Introduction: The undirected graph is the subject of the handshake lemma. An even number of vertices…

Q: 5. (D³2D+4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: Premise 1: He is an action star or he has the support of the administration party . Premise 2: He is…

A: We have to find the rule of inference which will support the validity of the given statements.

Q: b. cos(3n) + 2 sin(3n)

A: Solution :-

Q: QUESTION 9 Let (G, 0) be a group and x = G. Suppose H is a subgroup of G that contains x. Which of…

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Q: Prove that Define functions f(x) and g(x) as follows: 2 2 f(x) = 7/7 S e-tedt, g(x) = ²/1/²0 L…

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Q: Write down the six elements of S3 and give the multiplication table for the group. The six elements…

A: Given six elements of S3 are     1=123123, a=123231=123 , b=123312=132, c=123213=12, d=123321=13,…

Q: [f(g(x)) (g'(x) dx = F(g(x)) + C √ √² ²² x) = — _[e²− În(21+1) ]dt, find g(x) . Questions Filter…

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Q: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: a) when t=1 , max f(x,y) = xy  subject to x2 + y≤5 , x≥0 , y≥0.   x2 + y≤5  ⇒y≤5-x2 ⇒ f(x,y)≤…

Q: Approximate the area with a trapezoid sum of 5 subintervals. For comparison, also compute the exact…

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Q: Iteration Method Solve for the root of f(x) = 5x² – 3x - 1 where x₁ = −4 -4 - 3 Solve for the root…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: A box with a square base and open top must have a volume of 62500 cm³. We wish to find the…

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: Use the Wronskian to determine if the given functions are linearly independent on the indicated…

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Q: ? Exercise 15.2.3 The region bounded by the curves y = In z and y = e² in the interval [1, 2] is…

A: Area of region bounded by two curves y=fx (upper curve) and y=gx (lower curve) in the interval a≤x≤b…

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: Question 10 What is the next number in the sequence? 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... A) 89 B)…

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Q: 5.It is known that the data tabulated below can be modeled by the following equation y = (a +Vx)²…

A: Given: y=a+xbx2 To find: Linearizing the equation.

Q: Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13…

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Q: A small generator burns two types of fuel low sulfur and high sulfur to produce electricity. For one…

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Q: Q/ IF y = Sim ܠܐ 10²² (4) y = 3/² sin(x) cos(x) Prove that

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A: Force on spring to stretch it x unit of length  F=kx where  k is spring constant  Work done to…

Q: How much interest is earned at 2 1/2% if an amount of P10,500 was invested on October 3, 2021 and…

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Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

A: We will use chain rule of partial derivative  If F is a function of  two independent variables x and…

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Q: Assume a flight capacity is 100 seats and there are three nested fare classes 1, 2 and 3 from the…

A: Solution : Given, Protection levels for, Class 1 =20 Class 2 =50 Classes are in nested manner so,…

Q: Use the multiplication table to divide the given numbers in the indicated base. 2four 200 four

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Q: Reckless Rebecca decides to take up skydiving and jump from an acrobatic plane flying along the path…

A: The path of the plane is given by the below equation. rt=4t,3,3t2

Q: 5. Let V be a vector space over C and let T: V → V be a linear transformation. (a) Give the…

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Q: Solve the following IVP y" - 10y' +9y = 5t, y (0) = -1 y' (0) = 2

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Q: Determine J [[sin(t-k). H(t-k)]

A: The Laplace rework transforms one sign into any other the use of a fixed of predetermined policies…

Q: 1. A proposition is a declarative statement. 2. Every false proposition is a contradiction. 3. If…

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Q: Solve the systems of equation by graphing a) 1 y = -x-3 }=;*-1 10 8 6 4 2+ -10 -8 -6 -4 -2 -2 -4 -6…

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Q: Create a quadratic model for the data shown in the table 1 -1 X Y -1 -1 Oy=0.85x² +0.11 - 1.78…

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Q: 5. The letters in the word AARDVARK are printed on square pieces of cardboa The eight letters are…

A: INTRODUCTION: Conditional probability is the probability of an event A occurring when another event…

Q: 7) x = y² 8) y=

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Q: Which of the following is not a proposition? "The Marcos dynasty returns to power after 36 years."…

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Q: Theorems Let fox-applied between two toplogical spaces (x,x) and (3T), then the following statements…

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Q: Let G be the interval (-1/2, ∞). Let a be the operation on G such that, for all x, y = G, x x y =…

A: Introduction: In mathematics, an identity is a relationship between two mathematical expressions A…

Q: (a) Find the eigenvalues of the following matrix, Z: 1 Z = M -1 01 2 1 1-2 1 NJ For this question,…

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Q: QUESTION 7 Let G be the interval (2/3, ∞). Let be the operation on G such that, for all x, y E G,…

A: Introduction: In mathematics, group theory is the study of a collection of diverse components that…

Q: 1. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

A: We have to find the interpolating polynomial of degree 4 using the divided difference formula.

Q: 7x9x23x45x94z45

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Q: 12. Convert the fractions from improper to mixed number, or vice-versa. Fraction Notation Mixed…

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Q: Let (G, 0) be a group and x = G. Suppose H is a subgroup of G that contains x. Which of the…

A: Let G, * be a group and x∈G. Suppose H is a subgroup and it contains the element x. Find out which…

Q: 2. On January 1, 2022, Marites deposited P15,000 in a bank that offered 2.5% annual interest…

A: time from 1 jan 2022 to 1 april 2022 = 3months= 0.25 years so we calculate inerest of 3 months…