In a circle with radius 7, a central angle measuring 3πT 2 radians intercepts an arc. Find the length of the arc in simplest form.

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A: Given that, the couple plans to save for their child's college education.The aim is to find the…

Q: Exercise 4.3 Which of the given subsets of the vector space, M23 of all 2x3 matrices are subspaces?…

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Q: A 14 B 26026 C D 143 E

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A: Firstly , we will check the field is conservative and solve the integral.

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Q: Sn = Find a formula for Sn, n ≥ 1 for the sequence -2, 1, 6, 13, 22...

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Q: -0.5 Approximate the integral 5x² e-x² dx with an error less than 0.001 using power series.…

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A: (i) The treasurer should take a short position in the forward contract.

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Q: Sx -√2x + 1 dx

A: Given integral is Put, Now By substituting these we get

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Q: 1. Given the system x' = x(100- x - y = y(150- x - 6y) find and classify all equilibria then sketch…

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Q: Mark each statement True or False, and justify your answer. a. If A is an n× ʼn matrix, then det(kA)…

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Q: Activity 1: Evaluate the following arithmetic expression as a single number with 3 decimal places.…

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Q: 2 B A 10- F E Apply the sorted edges algorithm to the graph above. Give your answer as a list of…

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Q: why do we use the formula a+(n-1)d instead of the arithmetic formula a+nd?

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Q: Q3.74 Calculate the particular solution in the form of system: [2₁ (4)] = Vcos (3t) t) ***** x + 5…

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Q: If x = Ax + Bu, which of the following systems are completely con- trollable (i) with u € U, (ii)…

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Q: 10.25 Find the conjugacy classes in Q₁, and write down the class equation for Q.

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Q: Sketch a contour map with at least four level curves for the following surfaces: a. z = x² + 4y² + 3…

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Q: Problem 7.1. Use the ε- definition of continuity to prove that each of the following function is…

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Q: Consider the following system of ODE's dy₁ =6y2 dt =-6y₁ +6(2y2) This system has a repeated root X,…

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Q: PI solve the differential equation using laplas Transform t y + 2y = 6 √ z dt = -2 4t y +z +z = 0 y…

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Q: Find all values of the parameter a such that the following system has a unique solution: 2x-ay+2z=8…

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Q: Q1-12 Assume that vectors the eigenvalues below belong to 3₁ = [-4+2²] A₁ = 2+2i A₂ = 2-2; V₂ find…

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Q: Verify that the given differential equation is exact; then solve it. 2 (9x² +6y²) dx + (12xy + 12y²)…

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Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

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Q: the amount of microbes on a plate is given by: N(T) = 10T2 - 40T + 200 , -1≤ T≤ 20 where T is the…

A: The amount of microbes on a plate is given by: N(T) = 10T2 - 40T + 200 , -1<= T<=20 where T is…

Q: 1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10…

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A: The temperature of a certain building is defined by , where ,  is measured as a percent and  is…