Question 7 What is the auxiliary equation associated with the differential equation y'"- 3y + 4y=0?

Q: Prove that: В(х+у) тв (ходня) = ВСху) let г (х+1) =ХГ (Х)

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Q: Prove by mathematical induction that for any integer n>0, 1 3 X4 X5 + 2 4x5x6 + + n = (n + 2)(n+3)(n…

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Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9800. What…

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Q: QI complet the table: X f(x) O 1 2.71828 L2(X) = LI(X) = (x-xo) (X-X₂) (x1 - x0) (X₁-X2) (X-X₁/(x-x2…

A: Given: Q1. A table below: x 0 0.5 1 1.5 1.75 fx 0   2.71828   4.75460 To complete: The table…

Q: o) +6x² + 5x + 30. q) 2³-102²-3x+15. p) ³3x² + 4x - 12. r) 2x³+x²10 - 5.

A: We need to write the following expression in multiplication forms  p. x3-3x2+4x-12  q.…

Q: The solution of the differential equation 3+6 Y-7Y=0.

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Q: Q2/ Choose the correct 4 By using fixed point method, which as the following formulas can use to get…

A: The given equation is 3xex=1 on [0,1]. To Find: Fixed point iteration rule for the above function.

Q: Let f and g be differentiable functions such that f'(0) = 3 and g' (0) = 7. If h(x) = 3f(x) - 2g(x)…

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Q: If w and af are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + w)] + [1/(c + w)] = 2w²…

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Q: E Valuate by Beat function: 1 = 5 +²²1 dx 1+x4

A: Given : I=∫0∞xa-11+x4dx Evaluate the given integral by beta function .

Q: Solve the given initial-value problem. dy X- +y=6x + 1, y(1) = 7 dx y(x) = Give the largest interval…

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Q: Find an explicit solution of the given initial-value problem. y²-1 y(7) = 7 2-1 y = x dy dx Submit…

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Q: 1. Use the tables to find the z transforms of the following a. 6 b. 2 C. e 2n

A: a. since Z[1]=zz-1 now Z[6]= 6 Z[1]=6zz-1

Q: Twins graduate from college together and start their careers. Twin 1 invests $2500 at the end of…

A: Given that Twins graduate from college together and start their careers. Twin 1 invests $2500 at the…

Q: 4. From the values in the table given below, find the value of sec 31° using numerical…

A: The given problem is to find the value of sec 31° from the given information table of tan function…

Q: Q2) Solve the BVP utt = Uxx ux (0, t) = 0 u(x,0) = 0,_u₂(x,0) = f(x) = {100 00 01

A: Given: utt=uxx  0<x<∞,  t>0 ux (0,t) = 0 u(x,0)=0    ut (x,0) = f(x) =1000<x<10…

Q: 1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)

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Q: Find the particular solution of the system Mentioned in the Attachment.

A: Given :  dx1dt=3x1+x3dx2dt=9x1-x2+2x3dx3dt=-9x1+4x2-x3      x10=0   ,   x20=0    ,   x30=17 To Find…

Q: Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

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Q: 1) Find the general solution for the following ODE using Undetermined Coefficients Method. State…

A: Q.1

Q: (PARAQ) ((PV RAQ) (PARVQ))

A: Given: The expression is (P∧R∧Q)⊕(~(P∨R∧Q)⊕(P∧R∨Q)). To find: The truth table for the given…

Q: Solve the following linear equation by Cramer's rule:- x+y+z=3 x + 2y + 2z = 4 x + 4y +9z = 6

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Q: Construct the truth table of the following given compound propositions. Show your complete answers…

A: Given,             ¬P∨R∧Q⊕P∧R∨Q.

Q: Compare and contrast reflections over the x-axis and y-axis. Generalize your observations

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: The solution of the system by Gramer's method x + 2y + 3z = 6 2x + 3y + 3z = 8 5x + 2y + 2z = 9

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Q: if √0 =0, √T = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, ther with the…

A: Let  f(x)=x We have x f(x)=x 0 0 1 1 4 2 we have x0=0, x1=1, x2=4 Lagrange's polynomial…

Q: Determine whether the following functions are refined. Show all reasoning. (a) e² (b) Re(z) (c)…

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

Q: (1) Find the volume of the solid obtained by revolving about the y-axis the region bounded by y =…

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Q: 13. Let u 0 -[8] = 4 and A = 14. Let u = u? spanned by the columns of A? (See the figure.) Why or…

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Q: What curves are represented by the following? Sketch them. [cos t, sin 2t, 0]

A: To Sketch: The curves represented by the parametric form [cos t, sin2t, 0].

Q: State the order of the given ordinary differential equation. d³y dy - (dx)² + y X dx +y=0 Determine…

A: Order of Differential Equation: The order of a differential equation is defined as the order of the…

Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: X ecx) 0 O 0.5 1 1.5 1.75 2.71828-5.75460

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Q: FINANCE For every transaction, a certain financial advisor gets a 5% commission, regardless of…

A: For every transaction, a certain financial advisor gets 5% commission. Were deposit or withdrawal…

Q: In this question, the domain of discourse is a set of students in a library. Define the following…

A: Given that:   B(x): Person x is reading a book   L(x): Person x is listening to music. Express the…

Q: F1-11. Determine the average normal stress developed at points A, B, and C. The diameter of each…

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Q: . to · if √o =0, √T = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, ther…

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Q: If $9,000 is invested at 9.5% compounded continuously, find the future value after 6 years. (Round…

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

Q: Find the unit vector that points in the direction of [ 2 7 1 -7] + [1 -1 2 8]

A: What is Unit Vector: Geometrical objects with magnitude and direction are called vectors. A starting…

Q: (3x² - 2y²) y' = 2xy

A: Given: The differential equation is (3x2-2y2)y'=2xy. To find: The solution of the given differential…

Q: ind the general solution for the following ODE. State which rule you are e initial condition is…

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Q: Find an explicit solution of the given initial-value problem. dyy²-1 = y(7) = 7 dx x² y =

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Q: 1. Translate the following Boolean expressions into logic circuits. a. Y= (ABC)'.D'

A: The given Boolean expression is Y=ABC'D'. There is AND gate in expression ABC. Therefore taking the…

Q: Find the amount (in $) of interest and the maturity value of the loans. Use the formula  MV = P + I…

A: Given that Principal value $145000 Interest rate 1512% , i.e., r=15.5% Time 5 months  i.e., 512…

Q: 2. Use the tables to find the inverse z transforms of the following b. Z Z-3 C. 2z Z+5 d. 3z Z-2

A: Part b We need to find Z-1zz-3 Now, we have the formula: Z-111-az-1=anun So,…

Q: Find the general solution for the following ODE. State which rule you are using. If the initial…

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Q: Let g(t) be the population (in thousands of people) of Calculus City, as a function the time t (in…

A: Given information In 2020, the population was 10000 and  t = 0 corresponds to the year 2020 then g0…

Q: QI complet the table: X f(x) 0.5 LOW= 1 2.71828 LI(X) = (x-xo) (X-X2) (X1-X 0) (X₁-Y2) L₂(X) =…

A: Given: Q1. A table below: x 0 0.5 1 1.5 1.75 f(x) 0   2.71828   4.75460 To complete: The…

Q: i) (x-1)(x-2)(x-3). k) (x-1)³. j) (y-6) (y-4) (y + 1). 1) (x+2)³.

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Q: For the given Laplace transform find the convergence domain and correspondent in time domain a=30,…

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