24. Find the general solution of (2x + 1)(x + 1)y" + 2xy' – 2y = (2x + 1)², given that y = x and y = (x + 1)-1 are linearly independent solutions of the corresponding homogeneous equation.

Q: Consider the following. 1 -1 0 1 -3 A = 0 -3 0 4 -4 2 -5 1 2 2 (a) Verify that A is diagonalizable…

A: Here, the matrices are: A=1-100-30-42-5, P=01-3040122

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Q: Use the quadratic formula to solve the equation. (All solutions for the equation are real numbers.)…

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Q: 2 3= -2

A: Here we use matrix operations.

Q: 4. Show that a 6 a + %3D

A: Here simply open the squre term and then simplify as a.b=b.a

Q: The following information is given for an arithmetic series ai = 9, a13 = 105 Find S13

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Q: Each of 4 boys randomly chooses a watch from 11 different styles. What is the probability that at…

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Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: 10 D = x² – 3y…

A: Matrics

Q: he function to find the image of v and the preimage of w. T(V1, V2) : Lv2, V1 + V2, 2V1 - v2 ), v =…

A: We have to find out image and preimage

Q: terday 270 concert tickets were sold. Today 216 tickets were sold. und lo od awoole Find the percent…

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Q: The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per…

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Q: a b Let M be 2-by-2 matrix, with a =7, b =11, c =2, and d =4. What is the determinant с d of the…

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Q: Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector A =: ) = 2, x, = (1,…

A: Given : A=200-2 , λ1=2 , x1=(1,0)                       λ2=-2 , x2=(0,1)   To Verify : λ1 and λ2 is…

Q: (a) (2/5 + 1)(5 - 3) (e) the hypotenuse of a right triangle with legs 2.5 cm and 6 cm (calc'r ok)…

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Q: Solve by Substitution −6x−2y=−16 −5x+y=0

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Q: Consider this Preference Voting Table from 50 voters and 4 candidates Rank / Number of 19 14 10 7.…

A: To tell which Candidate gets how much points

Q: An investment income of $50,000 increases at a rate of 8.3% per year. Find the value of the…

A: Given query is to find the value of the investment after 20 years.

Q: mal ni 080 23. 2291 D 3x bni For hey A %23 B bag ABC is a straight line.

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Q: The sides of a square garden are 8 ft. long. You increase the length of each side to 10ft.  B.…

A: We can find the answers as below.

Q: A baker has a bag with 20 cups of flour The baker plans to use the flour to mske 4 loaves of bread.…

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Q: Question 1 1 -2 1 -1 1 2 -1 Let A = and assume that 1 2 -1 0 -1 -2 1 1 100 0 1 1-1 0 0 0 0 0 0 -2 1…

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Q: The set {GG} B = -12 is a basis for R?. Find the coordinates of the vector i relative to the basis…

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Q: 6. 3x2 +4x +2=0

A: We have to find x

Q: Solve

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Q: A student needs P4000 per year for 4 years to attend college. Her father invested P5000 in a 7%…

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Q: Solve =-25, where x is a real number. Simplify your answer as much as possible. If there is more…

A: The given equation is: x2=-25⇒x=±-25⇒x=±5i

Q: use the properties of logarithms to eXpand each logar thm Shouid invóive 'oniy one vanuböle and…

A: To expand.

Q: Ca) -8) Eb) V12 + 32 + 2V18 + 3 3 Cc)

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Q: Use the formula  A = P(1 + rt)  to calculate the maturity value of the simple interest loan. (Round…

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Q: Susan needs $4029 for a future project. She can invest $3000 now at an annual rate of 7%, compounded…

A: GivenFuture value=$4029Premium=$3000Rate=7%=0.07Compound=4We know that A=P(1+r4)4t

Q: A Q 3. Choose the best answer. To shift the graph of f(x) = a + clog, (da + g) - change parameters a…

A: 3. We are given a function   f(x) =a + c logb (d x+g) and we have been asked what will be change in…

Q: 14. Choose the correct expression.

A: Given query is to find the value of Indica expression.

Q: 7g°h2 + 3g²h – 2gh³ 14. gh

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Q: Below is the entire graph of function f. Graph, the inverse of f. 田

A: Given problem :- Given graph is of function f then draw f-1

Q: Find an equation of the hyperbola having foci at (-3, 1) and (-3, 9) and vertices at (-3, 4) and…

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Q: ne humber of šignificant digits in each of the following numbers: D 142,000 b) -0.006070 c) 2 x 104…

A: Given: a)142,000 b)-0.006070 c)2 x 10-4 The significant figures of a number are those digits that…

Q: ai susan needs .. Can Invest $: .. Compounded a are made, hol ..money for h do not ro ..ana round

A: compounded investment formula:A=P1+rnntA=final amount =4029P=Principal amount =3000r=7% =0.07n=4…

Q: Given the arithmetic sequence: -16, -22, -28, -34, .. A) Find the formula for the nth term, an B)…

A: A detailed solution is given below

Q: Given the differential equation: (1+ x2) y" + 2xy'- 2y D0 A y= Co(1+x arctan(x)) + Cx The recurrence…

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Q: Determine whether 2; is an eigenvalue of A with the corresponding eigenvector x;. 4 A = 0 - 5 (a) 11…

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Q: Find the vertices, asymptotes, and foci of a hyperbola with the equation (x+1)^2 - (y-3)^2 = 4.

A: To find the vertices, asymptotes, and foci of a hyperbola with the equation, x+12-y-32=4.

Q: Use the function to find the image of v and the preimage of w. T(Vg, V2) = (V1 + Vz V1 - v2), v =…

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Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

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Q: Find the area of the shaded figure. 6 cm 5 cm- 8 cm

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Q: 1. Find the Laplace transform of each of the following functions and simplify the result. Apply the…

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Q: Determine whether the function is a linear transformation. T: R2 - R3, T(x, y) = (Vx, 4xy, Vy)…

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the average rate of change of the function f ( x ) = 1 x2 − 4 x + 4 , on the interval x ∈…

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Q: 26) Indicate the number of significant digits in each of the following numbers: a) 142,000 b)…

A: a)14200 Number of Significant Digits: 3 The Significant Figures are 1 4 2 b)-0.006070 Number of…