3.19. For the root of unity e2ni/m. m> 1, show that 1+ z + z? + ... + zm-1 0.

Q: 2 4 00 5 of 21 _Math_GR6_CFA2 raphed below has an x-coordinate that is less than 0 and a…

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Q: This is a follow-up question to Question 4(a-c) in Homework 4. You don't have to correctly answer…

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Q: 4. The following function is a cubic spline for what values of a, b, c? 2x3 – 3x2 + 3x – 6 for 0 < x…

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Q: Question number 7 please

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Q: Q5/ Show that the following IVP has a unique solution and find the exact solution: 2 y'(t) = y +…

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Q: 6.8. Suppose the cubic spline s E S3(N3) is such that s(x) = 0 for x E [xo, x1] and for xe[x2, x3].…

A: Given: The cubic spline s∈S3Ω3 sx=0 for x∈x0,x1 and for x∈x2,x3   To show: sx=0 for x∈x1,x2 (a.) by…

Q: 7. Solve the following equation, working over Z20 and over Z respectively: x2 + 5y2 = 3z2.

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Q: Let C be the shortest path that connects n to ni and I = [, (sinhz + 1)dz. Then O I=-sinh n+ n(i-1)…

A: Second option is correct answer i . e . I = -1-cosh(π)+π(i-1)

Q: The solution of the IvP Elb+2)jl&+2)y=t", yL3)=o exists in the interval O 6, 00). noncof the giren…

A: given differential equation is t(t+2)y'+(t+2)y=t2,y(-3)=0

Q: If a chemical bond vibrates at a frequency w, the average energy of the bond turns out to be equal…

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Q: What is the value of k such that P(z>k)=0.0630? Previous

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Q: What can you say about the upper bound of E(x) for numbers of the form 3^(2n) + 1?

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Q: 2.5 Solve for z if cosh z = V3i.

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Q: 0/ the Valke of & that makes the Velteof the fumetion 2.

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Q: 3.4.2 Assume that Y, the number of minutes it takes you to eat lunch on an average day, is equally…

A: We can assume that Y~ Uni(a, b) where a=30 and b=40   We know that f(y)=1b-a        for a&lt;x&lt;b

Q: 1+ni Q1. Evaluate " e*dz along the path shown in figure below. n/2 1

A: We evaluate given integral along the path

Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

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Q: Consider the figure below. uestion 1 T. 2x W Зх - 5 Previous

A: Given TW= 2x, 3x-5

Q: 2. Estimate the value of V22. + • V22 is between and but closer to Decimal estimate: 22-

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Q: 2. Solve f e** using Simpson's 1/3 Rule with n = 8.

A: The Simpson's 13rule is given below by,  ∫abfxdx=h3fx0+4∑i=1, i is oddn-1fxi+2∑i=2, i is…

Q: 21 Determine the form of a particular solution for the ODE y" + 4y= 3sin2t + te

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Q: 8. Solve the following LP algebraically. a. Max Z= 150X+ 160Y subject to: X+Y 20 Y>15 X, Y>0

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Q: 5.) Consider the fonction fas= x'+ex²+lx +6 Evaluat e Ho) - fc-4) 6 - (-4) fCx) di ffer entiable on…

A: Given:       f(x)=x3+6x2+11x+6

Q: Prove L{a coskt}= -at S+a

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Q: 2.16 If S = {x|0<x < 12}, M = {z |1<z<9}, and N = {x|0 <=< 5}, find (a) MUN; (b) MNN; (c) M'n N'.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: We now need to attempt to find an exact value for n such that P(r ≥ 1) = 0.99. Clearly, if the…

A: We have to fill blank of P(r ≥ 1) = 1 − P ( ___ )

Q: 2. Define Ej where the reactor rise time of the first batch is less than 55 min. and E2 where the…

A: Given: E1=The reactor rise time of the first batch (t&lt;55)E2=The reactor rise time of the second…

Q: 4. Find Rable With respect ho X and X is also iable nith respect b . a ssuming fhat Y is diffrent…

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Q: 1d. Show that the given equation x- In xX= 0, has a root in the interval [4, 5].

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Q: Show that the following DE are Bernouli type and solve: 1. y’ – x = y 2. s’+ 2s/t = s 3 t 4

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Q: Find the length of segment NL. N x-8 x- 5 4 K L. 0 4 15 O19 3.

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Q: You hare shown that e jul dw or , erchenying w and t Jlw) = Use a chume of veriables to genenle…

A: Consider the given information: δ(t)=12π∫-ωωejωtdω                  ..(1) δ(ω)=12π∫-ωωejωtdt…

Q: Please see the attached problem. Thanks!

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Q: 3. If X' such that the second solution is of the form X, = te+Be, then B = Select one: O a. Ob.

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Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour…

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: 1. Given A= For which value(s) of a and b will A be singular?

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

Q: 4. Given the following data points: (Xn, Yn) = (1,2), (2, 4), (5,3), (–2,2) Determine the best-fit…

A: any quadratic equation of the form of  y = ax2+ bx +c                     (1) Here the set of values…

Q: 1. Given that X1 = 1 X4 =-2 Xs = 4 X6 =-1 X7 = 5 X2 = 3 X3 =0 Xg = 2 X9 = 10 %3D Γind (a) E X;, (b)…

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

Q: 4. Show that In sin 6 d0 = – n 2 by applying the mean-value principle to In |1+ z| for |2| <r < 1,…

A: ∫0π2logsin(θ)dθ=12∫0πlogsinθdθ                         =12∫0π2logsin2θdθ…

Q: The linear approximation to fix) = E at x = 8 is given by O a. 2 - x Ob. 2 Od. 12

A: Given: f(x)= x3 Linear approximation of a function fx is given by the formula  y=fa+f'ax-a

Q: 47. Let the assumed particular solution for the given DE be yp = (Ar + Bx² + Cx)e + E. What is the…

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Q: 12. Verify that the t ratio for testing Ho: B1 =0 is identical to t for testing Ho: p= (0.

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Q: 1 And the radios of Co for the pover Serie for the Power Serie vergence 00 xh (2"+1) (n?+1)

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Q: 6. Given that -뿔 (금) (규 R(x) 4! 1+. for x E (-, 3), where & is between x and 0, find an upper bound…

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Q: 6., Given that= 1' + sy = ) and that y = 1 dr (a) show that for values of r close to 0, 1 when = 0,…

A: Let y(x) is a function. Then the expansion of Taylor series of the function y(x) at the point x=a…

Q: in a paragraph proof please

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Q: Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then O I=-sinh n+ Ti(i-1)…

A: Option C true.

Q: 9. Suppose that N(h) is an approximation to M for every h > 0 and that M = N (h) + K,h+ K,h? + K3h…

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Q: 4.1.c Find the efficiency of ô, relative to 02. eff(@,, Ô2) = ? 4.1.d Prove that ô, and ô, are…

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Q: d) By multiple application of Simpson's 3/8 rule, use step size as 0.02. e) Discuss on your results.

A: Given that, the function is fx=x2+0.4x-0.081+x3. a) The value of the integral by using the…