. LINEAR EQUATIONS WITH CONSTANT COEFFICIE 1. (9Dª + 6D³ + D²)y = 0 %3D

Q: 1 |S (5x )sin |dx || NA X \dx + C( 5x – 15 )sin 1.5 NT X 1.5 1.5

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Q: 5. Determine whether the closed interval [a,b]is homeomorphism to the closed unit…

A: This is a problem from topology.

Q: Let V be a finit dimensions vector space of at least dim =1, Let T: V-> V be a linear transformation…

A: Solution

Q: 1.)Determine whether the Fourier series of the following functions converge uniformly or not. Sketch…

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Q: 2. Noemi had a 3 × 5 ft² piece of plyboard. She needs to have it cut it into a parabolic shape that…

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Q: 1.0 1.0 -7 -3 for 0< x < 4, Let f(x) 6 - x for 4 < x < 6. Compute the Fourier sine coefficients for…

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Q: 35) y+ y, =-5cos(2t), y+y, = 5cos(2t), y;(0) = y{(0) =1, y,(0) =-1, y,(0) = 1.

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Q: Next question Contruct a glide reecion of angle ABC using vecter vand relection ne

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Q: Show that for every positive integer n there exists an irreducible polynomial of degree n over Fp.

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Q: Lukalu is rappelling off a cliff. The parametric equations that describe her horizontal and vertical…

A: Solution

Q: Let f : [a, b] → R be a function of bounded variation on [a, b]. If there exists a positive real…

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Q: Sketch the given function and represent it as indicated. If you have a CAS, graph approximate curves…

A: The Fourier Cosine Integral is given by f(x)=∫-∞∞A(w) cos(wx) dw  where A(w)=2π∫-∞∞f(t) cos(wt) dt

Q: How much should you invest at 3.2% simple interest in order to earn $90 interest in 4 months?

A: The formula is I=Prt , Where I=interest earned, P=principal, r=rate of interest, t=time. Here, I=$90…

Q: Match each linear inequality to its appropriate graph. Question -x+y>4 -3x+4y> 12 5x-10ν < 50

A: Solution:-

Q: Solve the following linear equations using the 5 methods: (Gaussian Elimination, Gauss-Jordan…

A: Instead of x1,x2,x3 I choose x,y and z   2x-6y -z=38-3x-y+7z=-34-8x+y -2z=-20

Q: 2) Consider a bicyclist whose position s(t), in feet, is given by the table where t is in seconds. t…

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Q: I. Find the weighted mean price of three models of television sets sold. The number and price of…

A: Given:   Model       Number                  PriceA                       8                   10,000…

Q: Give a 99% confidence interval, for µ1 – µ2 given the following information. ni = 35, ¤1 = 2.18, s1…

A: Confidence interval for the difference of means, where population standard deviation is unknown, is…

Q: 3x 1. dx (Зx2 + 2)2 -3 2.J2 13-x 1 dx

A: Convergence of the series

Q: 33) - 2y + y, + y; = 0, y + y', = 4t +2, y, (0) = y, (0) = y,(0) = 0 y + y, = t² +2

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Q: Solve manually using formulas. At an annual effective interest rate i, an investment of 1 unit…

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Q: Not Relation |{(2,3), (1,2), (3,4), (4,6), (0,3)} Function Not Function Relation Not Relation

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Q: Suppose the symmetric equations of lines l1 and l2 are = 2 – y = z and x = -1, 2 3 espectively.

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Q: Has this been rounded of to 3 decimal places? or it originally has 3 decimal places?

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Q: 6- Use Newton-Raphson method to solve the system x3 + y – 1 = 0 y3 – x+1 = 0 with the starting value…

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Q: Show that ? is a matrix transformation by finding its standard matrix. (solution)  (2) Find the…

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Q: You have $2,500 on a credit card that charges a 14% interest rate. If you want to pay off the credit…

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Q: d. Find the vertical shift. e. Write down the equation of the function for the depth of the water…

A: The vertical shift, equation of the function for the depth of the water in terms of m and h are…

Q: Exercise 6.1.13. Let G = (a) be a cyclic group of order n, H a group and h e H an element such that…

A: Here given G=a be a cyclic group of the order of n, That is G=a, a2, a3,.....,an=e  Consider H be a…

Q: Use Newton-Raphson method to solve the system х + у — 1 %3D 0 уз — х + 1%3 0 | with the starting…

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: We have to Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in…

Q: Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x + y = 6…

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Q: Express a general solution to 2x(1 – x)y" + (3 – 10x)y' – 6y = 0 Using Gaussian hypergeometric…

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Q: Prove thatc "is a vector space over the field of real numbers as well, for any n

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Q: Consider the function f(x) = x² –1 (c) Find the intervals of concavity and the points of inflection…

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Q: Duse the Euler Method method Solve the: Saytanrs tan x-Sinzt, yl0)=1 ,hz0.l 0.1

A: To solve the equation by Euler's Method we will use the formula yn+1 = yn + hf(xn , yn).  We will…

Q: Q1: Given that A = [3 -3 -5] and B = 5,what is the matrix A- BT?

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Q: A car travels down a highway at 50 m/s. An observer stands 250 m from the highway. (a) How fast is…

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Q: f (x+h)- f(x) 5x³-3x+4 Problem #1: Using lim,»0 Find the slope of the tangent line y = h 2x+7 at x =…

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Q: -7 for 0 <x < 4, Let f(x) = - x for 4 < x < 6. Compute the Fourier sine coefficients for f(x). Bn…

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Q: 2. Given: surface Q : 9x² – 42² = 9y - (a) Give the equation of the trace of Q on each coordinate…

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Q: Show that every closed ball in R" is an n-dimensional manifold with Assuming the theorem on the…

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Q: Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

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Q: vestion 32 ICLO-21 Using the Priority List B, E, A, C, D schedule the project with N=2 processors…

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Q: let t={usx8 x-uiscoantableiuioi then Tis called Tcof

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Q: Q10: Given that A. determine the value of a12 + a21 -

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