Using the geometric sequence find a10 1,1/5,1/25,1/125... a10=___

Q: 3) Prove by induction that n²>2n + 3 for every integer n >3

A: According to the guidelines, we can solve only one question. So, I solve question number 3. Please…

Q: +∞ (2) Ση+2=" ηγη n=1

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Q: Solve the cariccal equatins using the Souhin gov en y₁cx) _you? = y²cx² +12ycxp²² , усхрдо C 22 x

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Q: - Obtain a numerical solution of the differential equation = y - 2x in dx the rang 1.0(0.2) 2.0,…

A: To find the solution of the first order differential equation dydx=fx,y with the initial condition…

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Q: The Ferris Wheel Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel…

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Q: 10. At a summer camp, campers participate in a variety of activities. There are 50 kids…

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Q: Suppose that you borrow $12,000 for five years at 8% toward the purchase of a car. Use PMT= interest…

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Q: (a) Define a metric space (X, p). (b) Let p: R+ → R+ be a function defined by ln (2). Prove that p…

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Q: 1. DETAILS 00 Which of the following function has the Macularin series (-1)"4"x²n n=0 1 1 A. B. 4-x²…

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Q: Solve differential equation dy=yt method by 2nd order Runge-Kutta and fourth order Runge-Kutta

A: Given the differential equation is dydt=y2t

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Q: Given f(t) = L-¹ value of k is 3s+1 s³+4s²+s(k-3) if lim f(t) = 1, then the t-400 2 C 3 C -

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Q: Find a plane containing the point (-4,4,2) and the line of intersection of the planes -3x + 8y + 2z…

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Q: (5-3)²+25/ 5 Q17) Evaluate L (2 e-2t sin4t - 0.5 cos3t): 8 S a) 8 4 (s+2)²+16 2s2+18 b) d) (S-2)2+16…

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Q: 2. Let P:=-<-<0<, be a partition of [-], and (sin(2r), 0≤x≤fi f(x)=sin(2x), -*<0; (cos(2x) -1<x<-

A: The information of your question is complete, though, you have nowhere mentioned what exactly you…

Q: 43 Compute for the sum. Answer directly. 2 3 ΣΣ11;3 i=0j=0

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Q: Example 15.6.6: Finding moments of inertia for a triangular lamina = xy Use the triangular region R…

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Q: 2. Show that the following functions are harmonic, that is, that they satisfy Laplace's equation,…

A: We have to find f(z).

Q: Q4) Find the result of the following: 1. i¹ = ? 2. B (125/50, 1) =? (Beta function) 3. Given z/= (4…

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Q: GIVEN: f(x) = 2x³ − 2x¹ +10x² -2=0 Using NEWTON'S METHOD, determine new estimate after 2nd…

A: We have to determine the new estimate after second iteration by Newton’s Method. Newton's  Method…

Q: Solve the following initial value problem for r as a function of t. dr Differential equation:…

A: To solve the given initial value problem.

Q: Q5) e-st dt = b) 0 c)=-¹ d) ∞ 0. If you know that the radius of convergent of the series method for…

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Q: how many iteration ar

A: We will make a very simple C++ code to answer this question.

Q: * The Laplace transform of signal x(t) is shown below. Determine the initial value x(0) 4s + 1…

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Q: 52 Simplify: [-p ^ (p v q)] → q-

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Q: Let F(t) be a vector valued function whose derivative is F'(t) = G(t) = (6t, 3t, -6t). 1. If F(2) =…

A: As per the question we are given the vector valued function F(t) such that : F'(t) = G(t) =…

Q: Find the general solution of the given differential equation. y' + 3x²y = x² y(x) = Give the largest…

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Q: If f & R[a, b], then f is not continuous on [a,b].

A: Given statement statement:-  If  f∉Ra, b, then  f is not continuous on a, b.

Q: Determine the fraction of callers who wait between 0 and 15 minutes. 01 e 15 100% 15 1-e 4≈ 98% 15…

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Q: Find the elementary matrix E such that EC = A where 2 1 5 2 1 A = 3 0 -1 and C- 3 Communest 0 6 -8 2…

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Q: determine whether the limits of the following sequences exist. if the limit exists, find it

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Q: (a) Define a metric space (X, p). (b) Let p: R+ → R+ be a function defined by ln (2). Prove that p…

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Q: Q3) Determine using Cauchy Riemann equations the function below is analytic or not in z-plane? f(z)…

A: Given function is fz=z3x+iy

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Q: (a) Describe the symmetries of the Figure below. Assume that o is the centre of rectangle abcd. (b)…

A: (a.) To describe: The symmetries of the given figure, assuming that o is the center of rectangle…

Q: Find the equation of the straight line parallel to the line 2x + 3y = −4; containing the point (−5,…

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Q: y"+y' + (a) -5 x-b = 0, Xo = 2 is 5. (b)-3 (c)-2 d)-8 Q7) L(y") = a) s²L(y(x)) + sy(0) - y'(0) c)…

A: We have given the answer in the next step. Hope you understand that

Q: Let C be the parametric curve with parametric equations Sx=t(t²+1)-¹/2 te [-3,3] y = 2t - 2 tan-¹t -…

A: The arc length of a parametric curve is calculated using the formula: L=∫ab(dxdt)2+(dydt)2dt, where…

Q: 9: Check Euler's Theorem for the Function

A: We checked Euler's theorem for function.

Q: Use Taylor's Theorem to find an interval [−z,z][-z,z] where the Maclaurin polynomial p3(x)=x−x^3/6…

A: Taylor's Theorem: Let f has a Taylor polynomial of degree n expansion around x=c, then the remainder…

Q: Q2: For the following LP model, find values of the first iteration tableau variables using simplex…

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Q: What is the unit vector with the same direction as the vector v = 2i - 7j? Write as a linear…

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Q: For the function z = f(x, y) = x² − xy² + y³, find the equations of the tangent lines in both the…

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Q: Let F(t) be a vector valued function whose derivative is F'(t) = G(t) = (6t, 3t, −6t). 1. If F(2) =…

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Q: IV. Let S be the quadric surface with equation (z-4)² y² 4 3 3x² = 1. 1. Give an equation of the…

A: A quadric surface is a graph in the three dimensional space. There are six different quadric…

Q: ao + a₁(x- Q15) Given that y₁ (t) a) t b) t 016) 6-16 1 21 31 41 51 d)y(x) 21 31 41 51 = t is…

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