Find the particular solution Use method of undetermined coefficients. 1. y + 9y = 81x² + 14cos4x; when x = 0, y =0, y' =3.

Q: Can a number N, sum of whose digits is 21345, be a square of a natural number?

A: Given: a number N, sum of digit is 21345

Q: a) Determine if the vectors 1² +2₁2₁² span P₂. +1+3,3t² + 4t + 5 1 b) Determine if the vectors 0 2 2…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: 7. Let B = {(1, 2, 3), (2,0, 4), (1, 1, 1)}. Prove that B is a basis for R³ (since this is a proof,…

A: A set{V1, V2 ,............Vn} of vectors in V is a basis of V if and only if every element in V can…

Q: II- Calculer les limites suivantes: CS Scanned with Camx³x3+4x-5 0071-x II- Calculate the following…

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Q: y"-y'-12y = 0, y(0) = -2, y'(0) = 13

A: answer is in next step. please give a like !!!

Q: Select the following statements that are true. A and B are arbitrary sets. AnB=AUB {0} = P(A) {0}…

A: To select the true statements. A and B are arbitrary sets.

Q: Solve the problem. In 7 hr, Kerrie can travel 12 mi upriver and come back. The rate of the current…

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Q: 1) According to the 1998 Information Please Almanac, the official speed record for running one mile…

A: Please see the below picture for detailed solution.

Q: cost of food and beverages for one day at a local café was $224.80. The total sales for the day were…

A: Given the query is to find the cost percentage

Q: Length of Time in Minutes (x) 0 2 7 30 Part A: What is the constant of proportionality? 1.5 Number…

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Q: 1. Find the inverse of A = 3x + y + 2z = 11 x-y+3z = 2 x + 2y + 4z = 12 3 1 -1 3 using row…

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Q: The population of a town increased by 4% from 32,000. What was the population after the increase?

A: This question is related to percentages, we will solve it using given information.

Q: A bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of…

A: Topic = Algebra

Q: Given 0≤θ<2π, solve 2tan⁡θ−6=0. 1.25 radians and 4.39 radians -1.25 radians and 1.89…

A: Given, 2tan⁡θ−6=0

Q: 7:49 D www-awu.aleks.com/a 0 O SEQUENCES, SERIES, AND PROBABI... Finding a specified term of an...…

A:

Q: If there are four independent events E1, E2, E3, and E4, then the probability P(E1 and E2 and E3 and…

A:

Q: Given the functions f(x) = x^3 + x^2 - 3x + 4 and g(x) = 2^x - 4, what type of functions are f(x)…

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Q: The height of an object that is launched from a 58.8 meter tall building at a velocity of 19.6m/s…

A: Given problem:-   The height of an object that is launched from a 58.8 meter tall building at a…

Q: Which ordered pair is included in the solution set to the following system? y x2 – 2x + 8…

A:

Q: Question: Show that S is a subspace of R2 where S = {x € R²: x = (5k, 10k), k = R}.

A:

Q: Verify that λ, is an eigenvalue of A and that x, is a corresponding eigenvector. A₁ = 13, x₁ = (1,…

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Q: A test was given to a group of students and the results are summarized in the table given.   A B C…

A: This question can be solved using the data given in the table.

Q: If your annual salary is $32,000, and you pay 30% in taxes, how much do you pay in taxes?

A:

Q: The differential equation for a mass spring system without damping is modeled by y" + 2y = 0. Find…

A: Let's find power series.

Q: Which of the following is equivalent to the expression a. b. c. h³ d. hs h³

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Q: If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

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Q: Twice a first number decreased by a second number is 19. The first number increased by four times…

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Q: ctions: Determine whether the followin ential relationship, and use the model e number of bacteria…

A: topic:- algebra

Q: Alice needs 8 1/4 teaspoons of butter to bake bread. She has a thick of butter (that is 4.5…

A: Content: Alice already has 4.5 tablespoons of butter She needs 81/4 teaspoons of butter Thus the…

Q: The Cramer's rule can be used to solve the system Select one: True False 3x - 2y = -3 3x + y = -2

A:

Q: According to the Food and Nutrition Service of the U.S. Department of Agriculture, in one school…

A:

Q: In the school cafeteria, students choose their lunch from 4 sandwiches, 3 soups, 3 salads, and 2…

A: Given, 4 sandwiches 3 soups 3 salads 2 drinks In the simplest way we multiply the available number…

Q: Find the quotient 288 divided by 6

A:

Q: 1 x-2 | 1 1 x-1 6 ||

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Q: The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation…

A: T(t) = 65e−0.0174t + 73  here t is in minute given  and we have to find after one and half hour  one…

Q: 6.5x2 - 82.9x+3742 models the pH level, f(x), of a mouth x minutes after eating food x² +576…

A:

Q: A sweatshirt was originally $30. It is on sale for 25% off. What is the discounted price?

A:

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

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Q: Find the regression line associated with the set of points. (Round all coefficients to four decimal…

A:

Q: Consider the functions: ƒ(x) ==—=—-/2₂2 g(x)=√x What is the Domain of the composition fog(x)? O…

A: Let's find domain of given function.

Q: Fill in the blank. L {(2-t) 2(t-4)} = - 2 (1+s) N S X

A:

Q: . Find the Fourier sine series for the function f(x) = x +1 in the interval 0<x<π.

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Q: Explain the steps in solving quadratics using the Factoring method, quadratic formula, and…

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Q: Using the method of splitting of the middle term explaining the process of factoring x2 + (a + b)x +…

A:

Q: You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that…

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Q: 12 the following. as 2x(x +p)2 must be the

A: topic:- algebra

Q: If f(x)=x²-4 and g(x) = 3x, find a. (f+g)(x) c. (f.g)(x) a. (f+g)(x) = (Do not factor.) b. (f-g)(x)…

A: use the algebraic property of the function.

Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 0 1 2 100 0050 2 25

A: We can find the function as below.

Q: Use the graph of the rational function to complete the following statement. As x4, f(x) → As x-4,…

A: We can find the given statement.

Q: Connect the midpoints of the opposite sides of the unit square. Do the same with all the newly…

A: Given.