Question 5.15 The force of interest, &, is: 0.05 0.001(t²-t) Calculate the accumulated value of at time 8 of $100 that is deposited at time 0. A 107.75 B 136.27 C 136.30 D 137.94 E 138.45 0 4

Q: Q Write the vector shown below as a combination of vectors and shown above

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Q: Solution- Xx +(x1 X +(x1 We use How tomis divided 0 2 5 2 4 62

A: In this question, Newton's Divided Divided Difference table is applied. Newton Divided Difference…

Q: Reduce the matrix to reduced row-echelon form. A 2-2 1 2 -30 -3 3

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Q: Explain why the function has at least one zero in the given interval. C f(x) = x² - 4 - cos(x) [0,…

A: Please find attachment below. Where I explain all these things.

Q: -Use the difinition of error function Prove that: 5 ( 1₂2 ) = 5T let: ere (x) = 2 33 et de

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Q: Sam deposits $600 at the end of every 6 months in an account that pays 8%, compounded semiannually.…

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Q: Question 14 If a, b>0 the second degree polynomial P₂(x) =4+ 6(x− a) + (x− b) (x − 2) is determined…

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Q: If you want to earn 2% annual simple interest on an investment, how much should you pay for a note…

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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: Use the tables to find the z transforms of the following d. e³n e. cos 3h f. sin4n

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Q: Use the tables to find the z transforms of the following g. e-2n cos3n h. e4n sin2n i. 4n

A: Using the table of z-transform, the sequence and its corresponding z-transform can be tabulated as…

Q: a. The polynomials P₁(x)=x¹, P₂(x)=x² and P3(x)=x³ form a basis of the space P3 of polynomials of…

A: Find the answer below.

Q: Prove or disprove: If three consecutive integers are multiplied together, and the second in order of…

A: We first look out some examples to understand the fact- choose three consecutive numbers be 1,2,3.…

Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

A: The given problem is to find the area of the segment cut off from the curve y=sin(x) ,0<x<π…

Q: 2. Let f(x)=x²-3x+7. Answer the following: a) f(4) = c) f(1/2) = e) f(3/y) = b) f(-3) = d) f(t + 2)…

A: Please find attachment below where I answered for D E F

Q: Find roots of the equation

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Q: / Using Doolittles method for the following matrix A = L - matrix and U - matrix. TOY 2 0 86, find…

A: Given : A=-121086-205 To find : L-matrix and U-matrix

Q: c) 885 275 ၂၆ d) f) 3 24y 36

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Q: 2 f(x, y) = x² + 3xy

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Q: Identify the term containing the coefficient of x5, in the Binomial Theorem expansion of (2x - 5)12…

A: By the formula of binomial theorem expansion we can find the answer.

Q: Q3. Let ABC be a triangle in the E.G.such that for some mR(ZBAC)=a,MR(ABC) = B positive real number…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A differential equation, a point, and a slope are given in photo. Sketch two approximate solutions,…

A: Given differential equation is dydx=24-x2 Point :- 2, π Slope Field:-

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 1. Determine whether each of the given points below is a solution of the linear system x1 + 6x2 +…

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Q: Find M My and (x, y) for the laminas of uniform density p bounded by the graphs of X² y=√x.y = x Mx…

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Q: - Complet X f(x) the following table: 0.0.5. O - J 2.71828 1.75 -5.75460

A: 3a+2.75b+4.0625c=8.47288→(1) Calculate Fitting second degree parabola - Curve fitting using Least…

Q: 2 L₁ (2x - e²x)² dx A. B. C. D. 31e¹+36e²+3 12e4 31e¹+36e²-3 12e4 31e4-36e²+3 12e4 31e¹-36e²-3 12e4

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Q: Find the domain and range of: 1) y- 2) y-√1-x², 3)y=x²-2

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Q: vector form, where A is row equivalent to the given matrix. 3 -3 7 1 -2 -9 5 1-4 5 0 1 2 -6 7. 9. [6…

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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: if f(x) = x²√In x² x . find the derivative of this function f'(x) A. f'(x) = B. f'(x) = c. f'(x) =…

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Q: Solve the differential equation. y' + 2xy = 23x (A) There is no correct answer from among the given…

A: Given: The differential equation is y'+2xy=23x. To find: The correct option for the solution of the…

Q: Question 11 Solve the differential equation. y' + y tan x = cos x A y=x sin x+c sin x (B) y=x cos x…

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Q: Assume that is a bounded open set in R2 and that g: dR continuous, with the following ball boundary…

A: Given: The given details are, Ω is a bounded open set in ℝ2 and that g : ∂Ω→ℝ continuous with the…

Q: Q2/ choose the correct answer. (2) By using the iterative formula Xn+1 of the equestion X³ then the…

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Q: Prove that the distance sin 0₁ 2³ +|sin 0₂2² + greater than 2/3. of the roots of the equation sin…

A: To prove that the distance of the roots of the equation…

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

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Q: 6. Let f(x)=√14-2. Answer the following: a) f(5)= c) f(13) = b) f(-2) = d) f(18)=

A: Note: “Since you have posted a question with multiple sub-parts, we will solve the first three…

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

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one.…

Q: Please answer and write correctly and neatly. Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz…

A: Given That : Vector field  A→=2x2yax-2(z-x)ay +3xyzaz Point P=(2,-3,4)  To Find : d) y coordinate of…

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: For the Attached problem use a calculator or computer system to calculate the eigenvalues and…

A: Given That :  The Matrix  A=139-14-52-1428-22578-7370-38-139-3876152-16-59-133595-10-38-723 To Find…

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

A: Given :  5x+y=75y+z=13x+5z=16      x , y , z=0 , 0 , 0 To Find : Solution by Gauss-Seidel method

Q: prove by inclusion However, Un{kEN: mk<n} = U0=0. n=1m=1 00 00 00 I m=1n=1 nu{kEN: mk<n} = N=N. m=1

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Q: 1. Using Bisection Method, solve the root of the equation below that is nearest to zero. sin(x) + ex…

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Q: = 3. Assume DT (d₁,..., dn) and D-1 (C₁, C₂,..., Cn) are given. Let vector de Rn and an index 1 ≤ k…

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Q: mbols proposition tautolog 2. (a) Negate the proposition Vp [(3t [R(p, t)]) VQ(p)]. Move the…

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Q: Identify the coefficient of x5 in the Binomial Theorem expansion of (2x - 5)12 . Group of answer…

A: We have to find the coefficient of x5 in the Binomial theorem expansion of 2x-512 .

Q: What is the general solution of the differential equation 2y"+y'-6y=0?

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Q: Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent line.

A: Solution :   Given that                      y=x3+x   and The slope is equal to 4 i.e m= dydx=4