Question 2: Due to continental drift, Africa and South America are moving away from each other at a rate of 4 centimeters per year. The two coasts are currently separated by 5,000 km. Assuming this drift rate is constant, how long ago were the coasts touching? Give your answer in millions of years.

Q: Determine which sets are vector spaces under the given operations. For those that are not, list all…

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Q: Determine if the scalar vector field is Continuous on the indicated domain f(x) = (x²+1) S=(0,0) Х…

A: f(x)=x2+1/x​ is not Lipschitz continuous on the indicated domain.Explanation:Approach to solving the…

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Q: 5 Suppose m is a nonnegative integer, Z1, ..., Zm+1 are distinct elements of F, and w1,..., Wm+1 Є…

A: Prove that there exists a unique polynomial p€ Pm (F) such that p(zj) = wj for j = 1,..., m + 1.…

Q: Please solve and show all work.

A: Refer to the explanation part.Explanation:Matrix inverse using row reduction, also known as the…

Q: Give a detailed proof of the statement below

A: The detailed proof and explanation are attached below.Explanation:Step 1:

Q: Find the general solution of the system of equations 2-1 3 -2X

A: The general solution is c1  [1 1]e^(lambda)+ c2 [3     1]e^(-lambda)Explanation:

Q: Let f R2 R² be an isomorphism where : → ƒ ( [¹³]) = [()] and ƒ ([×4]) = }}] Find(G)

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Q: 2. Consider the region S bounded by the curves 1 1 y=x+ and y=x-for x≥1 x x" a. Is the area of S…

A: Given, Both the curves have the same asymptotes .The region  bounded by the curves will be

Q: 3. Sketch the following functions and determine the Fourier series expansions of the following: (a)…

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Q: Let (an) be a sequence of positive terms, and suppose that (an) → L. Show that (√) → √ī.

A: Proof is given below Explanation:Step 1:Step 2: Step 3: Step 4:

Q: 9. Let Zs is a ring of integers mod 5 and f(x)eZ,(x) such that f(x) = x²+x+1, then: Zs a) f(x) is a…

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Q: (2) Solve the difference equation Yn+1Yn + Yn+1 + 7yn + 16 = 0, with the initial condition Y1 = -7.

A: the solution to the given difference equation with the initial condition Y1=−7…

Q: Determine if the scalar vector field is Lipschitz continuous on the indicated domain f(x) = ex n = R

A: f(x)=ex is not lipschitz continuous in  Ω=RExplanation:Suppose f(x)=ex is Lipschitz on R.  Then,…

Q: Please solve and show work.

A: The given form [A​I​]=⎣⎢⎡​1−43​01−3​4−2−2​100​010​001​⎦⎥⎤​. Hence, the inverse of A…

Q: Complete the solution to the following differential equation. +4y+3y=16e' y(0) = 0, y(0) = 1…

A: We will complete the above solution.

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A: Find your answer below.Explanation:Step 1: Condition (ii) of the Leibniz test states that the…

Q: == 2.9 Let (an) be a sequence with limit a, and define bɲ = an+1 (n = 1, 2,...). Show that (bn) → a.

A: We know that  A sequence an converges to a limit L  if, for any positive real number epsilon there…

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A: Certainly! Here's a C++ function  that calculates and returns the square root of a given double:…

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Q: Denote by Zm = {[0]m [1]m,..., [m - 1]m} the ring of integers modulo m. Consider the rings R = Z24…

A: Hi! Please refer to the attachment. Thank you!Explanation:

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Q: Problem 4. Suppose the vector space V = P2, given the following set of basis B={1+², t-312, 1+t-t2}.…

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Q: Software Activity 4 Please solve the following set of equations using Gauss Jordan Method: 2x +…

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Q: Solve the following first order differential equation. y + 3y = est cos 5t, y(0) = 4

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Q: c

A: Please refer below pages.If you have any questions feel free to ask.Explanation:Step 1: Step 2:

Q: 3z2-z+1 Find the Taylor series of f(z) = with center zo = 7. z2-9z+18

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Q: arch Use Newton's Method to find the two solutions of e = 5.5x to six significant figures. 16.5 -1 3…

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A: see the explanation belowExplanation:Matching the statements with the formulas:a. The future value…

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Q: (5) Consider the following primal LPP: maximize 2x1 - x2 subject to 4x13x212 x14 x1, x20 (a) Solve…

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Q: Ex.4- Find a general solution of the following differential equation using variation of parameters…

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A: We have to find the orthogonal projection of the vector  onto the subspace of  spanned by  and .

Q: Show the general solution of the system of equation as a Real Valued Function 1100 X=21-2X 3211

A: Images attached.Explanation:

Q: Using c++

A: This program allows users to input a set of data points dynamically, separated by spaces. It then…

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A: The objective of the question is to find the value of M in the equation 7.5^M + 2^5 = 88.25.

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A: We have to find the maximum area of reactanlgle .

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