For the O.D.E. find all epuiGbicum sobitious Csify them iy possifle )

Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: Lef and right end point approximation

Q: B.Verify if the relation 1. y =xe* is a solution to y"-2y'ty=0 2. y = e*cos (2x) is a solution to…

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Q: In a cubic spline approximation assume that we know that S;(x) = 4 – 5x+ 2x² + 3x³ Si+1(x) = a + bx…

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Q: Q2/ Analyze the functions below using the fourier series: - n<x<0 f(x) = {n-x, %3D

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Q: Find the approximation of the integral. 1= [e*dx Using Romberg's rule derived from Trapezoidal rule…

A: Given integral I=∫01e-x2dx Here we use Romberg's rule derived from Trapezoidal rule for 1,2,4,8…

Q: Consider F and C below. F(x, y, z) = yzexzi + exzj + xyexzk, C: r(t) = (t2 + 1)i + (t2 − 1)j + (t2…

A: Given data F(x, y,z)=yzexzi+exzj+xyexzkC: r(t)=(t2+1)i+(t2-1)j+(t2-2t)k,  0≤t≤2

Q: C(x) = = 60 + x² dollars. (a) Find the marginal cost at x = 4 units. MC(4) %3D Tell what this…

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Q: High-power experimental engines are being developed by the Stevens Motor Company for use in its new…

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Q: For two concentric spheres with radii r = a and r, = b, with a<b, the temperature T(r) of the region…

A: To solve: the boundary value problem: 3T''(r)+2T'(r)=0T(2)=10T(4)=30 where T(r) represents the…

Q: Find the solution to the linear system of differential equations 42х + 120y satisfying the - 43y…

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Q: Solve the given ODE using Laplace Transform. y"(t) - 6y'(t) - 2y(t) = 4cos(2t) - 4t3 y(0) = -2…

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Q: use the Power Series Method to solve for the general solution. express your final answer in sigma…

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Q: /" – 6y + 18y =0 y(0) = 0, (0) = 3 First, using Y for the Laplace transform of y(t), i.e., Y = find…

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Q: Solve the following initial value problem. y(3)+y''=8x+4e-x; y(0)=1, y'(0)=0, y''(0)=1 The desired…

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Q: 8. Using the graph of f(x), calculate the following: a) lim f(x) b) limf(x) f(x) X-0* X4 c) At what…

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Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

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Q: 12 -36 -26] eigenvectors corresponding to these eigenvalues. 16 a. The matrix has eigenvalues A1 =…

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Q: f(x) = In(x),e = 1 Derivatives Find P:(x) Taylor Series Σ Interval of Convergence (Ratio Test)

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Q: f (1, 2) = 3 and the function f (1, 2) in the direction of i + j is given as 0.7. Using this…

A: Given that f1,2=3 and the derivative of function f1,2 in the direction of i+j is given as 0.7. We…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 8" + n 7" -…

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Q: Find the solution to the linear of differential equations 42x + 120y system satisfying the — 15х —…

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Q: to write each of the following limits as an integral lim n+j j=1

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Q: Construct your own problem involving related rates.

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Q: 1 ) *It can be shown that the improper integral e sin xdx =. Can we conclude that 2 Le" sin n…

A: Integral test

Q: 7. 3cos (@t – a), where o and a are constants 8. Show that L(cos 23t – sin 2 3t) = s²+36

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Q: 1. (x²-2y²) dx+3xydy=0

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: Check the true statements below: A. Finding an eigenvector of A might be difficult, but checking…

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Q: D Find the orthogonal trajectory o family of the cur ves

A: Solution.

Q: c) Mr Jason deposited $5000 into an account paying 6% annual interest compounded monthly, how long…

A: Solution :-

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/6-definition of the derivative to prove that f'(2) = 9.

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Q: the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 n*(n4 + 2)…

A: Limit form of comparison test

Q: Find the solution to x' = y y' = 12x + 1y if x(0) = 0 and y(0) = 8

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Q: price of a jumper was reduced in a sale by . The new price was later reduced by . What fraction was…

A: We have to find the fraction of each given conditions.

Q: (1)         Which of the following is the best translation into symbols of the sentence "All fickle…

A: Given statement is All fickle person are difficult to please  We have to convert the statement in…

Q: n 4n 5

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: Convert the differential equation u' '+ 5u' – 3u = e letting a = u, y = u' into a system of first…

A: To convert the differential equation into a system of first order equations by letting c=u and y=u'

Q: How many spanning trees do the following graphs have? (a) The wheel graph W(4) on five vertices. (b)…

A: Solution:-

Q: Problem 3: Show that the partition P= (7, 6, 5, 4, 3, 2, 1) is not graphic. Solution:

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Q: 15. Let f be the polynomial f(z) = z° + z5 – 8z3 + 2z + 1. Find the number of zeros of f in the…

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Q: F(t) = 3 cos(t)ỉ + 3 sin(t)j + 2tk

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Q: the truth value of e and f is unknown, determine the truth value of the folloWnĘ propositions (if…

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Q: Consider the system of differential equations -7y2, +7y1. a. Rewrite this system as a matrix…

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Q: A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following…

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Q: ESTION In what proportions should one mix hazelinuts at $24/g with almonds at $40/kg to obtain a…

A: Given total mixture = 200 kg Hazelnuts = $24/kg    Almonds= $40/kg Let x kg of hazelnuts and (200-x)…

Q: Find the area of the shaded region shown in the graph. Ay y = 27 sin x 27 y= 27 cos x

A: Solution :-

Q: As of 2022, the Diamond and Flower Ferris Wheel is the world's 18th tallest giant observation wheel.…

A: We need to find equation of Ferris wheel in two way  in sine form . f(t) = a sin (bt+c) +d in cosine…

Q: (- 1)" Write out the first four terms out of the series >. „Find the series' sum if the series…

A: given is geometeric series

Q: Given the matrix 6 0 0 A= 0 2 2 0 2 2 find an orthogonal diagonalization of A: A = QDQ"

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Q: define the region bounded by y = 0, y = 4√x, y = 24 − 2x, and y = x − 4 using vertical and…

A: Given curves are y=0, y=4x, y=24-2x and y=x-4. We have to define the region bounded by the given…