Use the Babylonian's formula to calculate the area of a circle with diameter of 12 units. (roundoff your answer to 2 decimal places)

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Q: Which method is more correct?

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Q: Consider the following nonhomogeneous system. dx dy - 5x + 9y + 5, dt = -x+ 11y + 15 dt Find the…

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Q: (2) Find all connected covering spaces of RP2 v RP².

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Q: Consider the following vectors: 2 11 Wi = W2 = -7 W3 = 3 v = 8 The set B = {w1,W2, W3} is an…

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Q: Solve using Gauss Jordan method. 2x-y+3z=24 2y-z=4 7x-5y=6

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Q: B. Draw the graph, identify the region, and sketch the representative rectangle. Label the graph…

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Q: 1. Consider the problem of a toy company that produces toy planes and toy bo company can sell its…

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Q: Consider the map T : P2 H→ P2 given by T(p(x)) = p" (x) + p(x) Find [T] in terms of the basis ß = {1…

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Q: Use newton divided difference to solve the equivalent interpolation polynomial of the given below,…

A: We can solve this using newton difference formula

Q: mg table Average Remaining Lifetimes for Men Age Years Years Age Years 74.0 65 16.6 15 60.4 75 10.1…

A: consider the table as follows x y x-x y-y x-x2 y-y2 x-xy-y 0 74 -38 33.22 1444 1103.568 -2812…

Q: 4. Calculate the arc length of the polar curve r = e38 from 0 = 0 to 0 = 2.

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Q: Choose two figures which are topologically equivalent to each other

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Q: A: Find the solution of the following differential equation by Laplace transform with initial…

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Q: Consider the real sequence {an} given by an = In(n+ 1) – In(n+2), n e Z>0 = NU {0}. %3D %3D Justify…

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Q: Several friends chartered a boat for a day's fishing. They caught a total of 70 fish. The table…

A: Let A be an event of a given random experiment E. Let the event A occur n(A) times when the random…

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Q: Spot the mistakes/error in solving the linear system , and then say something about it. Given : 2x +…

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Q: Let o : R → S' be given by o(r) = e2™ir. Find ker P.

A: This is a problem of Abstract Algebra.

Q: andy wants to buy a car that costs $28,750. The dealership will finance the car for 4 years, at…

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Q: Which line passing through G is parallel to line IEC? C 34 H O CGJ BGH O AIG O EFG O OOO

A: To find the line which passes through G and parallel to the line IEC .

Q: Consider this Preference Voting Table from 50 voters and 4 candidates 1.3 Rank / Number of votes 19…

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Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

A: We have to find the volume of the solid generated by revolving the region about the given line.

Q: Consider the following. -10 36 A = P = -1 -3 11 (a) Verify that A is diagonalizable by computing…

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Q: Using Eigenvalues and Eigen Veetors s&ve Cthe System: ☆G) = ax+4y y'G) = -3y A= -3 ゴ

A: Solution of system of differential equations using eigen values and eigen vectors

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

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Q: Consider the function f graphed below. Sketch a possible graph of the deriva- tive f' on the…

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Q: Which of the following is a convergent p-series? Select all that apply. 1 n =1 7" 4 Σ n =1 n? 2 E…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 4 y…

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Q: 2. Some parts of this question refer to the attached research paper: Mili Shah (2013), Solving the…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: We have to find the volume of the solid  by Disk Method when the region enclosed by the given curves…

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Q: Prove that the spectral norm of a symmetric matrix is the same as its spectral radius.

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Q: 4. Let A and B be n x n matrices. Show that: (a) If A is a nonzero eigenvalue of AB, then it is also…

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Q: Given the equation 9. z, zis from 0 to 5. Determine the y- coordinate of the centroid. 16

A: y co ordinate of centroid of region E with constant density  y=∫∫∫Eydv∫∫∫Edv

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: To Evaluate: Area of the region bounded by the curves: (a) y=x3, y=x3 (b) y=|x|-2, and the x-axis.…

Q: Describe the graph of the equation. r = -8i+ (1 – t² )j +t k O It is a parabola in the plane x = -8,…

A: Solution :-

Q: Evaluate the integral / (2x + 15y)dx + (27x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

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Q: Choose two figures which are topologically equivalent to each other

A: In a topological space two figure are topologically equivalent if one can be form from other by…

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

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Q: Suppose p and q are distinct prime numbers. Find the number of positive integers r < pq such that…

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