dQ dt + Q = f'Int

Q: If Lee needs an investment to increase to $250000 in a 20 year period and he has secured an…

A: We need to define the general formula and then use the general formula to determine the initial…

Q: 12. the greatest depth of the ocean, about 9.6 mi, to kilometers

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Q: Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = √√x + 10. If we use the…

A: Fixed point iteration method: To solve F(x)=0, set the equation f(x)=x such that |f'(x)|<1, then…

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: Obtain the general solution to the equation. (x²+2) dy dx + xy-7x=0 The general solution is y(x)=,…

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Q: Every proper simply connected oper equivalent to an open subset of the

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Q: Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = √√x + 10. If we use the…

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Q: A trapezoid is a quadrilateral with two and only two sides parallel. The parallel sides of a…

A: Given a trapezoid and the coordinates of its four vertices as 3,0,0,3,-4,1,1,-4 To find the length…

Q: 11. the women's world record long jump, 33 ft 6.5 in, to meters

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Q: Solve for the given determinant. Use pivotal method until you arrive at a 3x3 where you can use your…

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Q: 7. Two bowling alleys prices are shown below. BOWLER WORLD $5.00 to rent shoes Lucky Spar $3.00 to…

A: let the number if games be x therefore for Bowlers World y=5+1.10x

Q: Prove the following by using induction: 1(1!) + 2(2!) + 3(3!) +...... + n(n!) = (n + 1)! − 1, for n…

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Q: a. f(t)= et, cost, 0 2TT.

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Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = . revolving D about the x-axis is: I…

A: Introduction: The Shell Method is used to calculate volume by breaking down a solid of revolution…

Q: ch brick is 2" x 8", what is the peri

A: Given that if each brick 2"×8".

Q: (i). There is a simple group of order 2021.

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Q: Based on the data set below, find the interpolation value for x=2.5 from a fourth degree…

A: Given,   x 0 1 2 3 4 y 1 1 9 61 205

Q: Use the classical fourth-order Runge-Kut initial value problem y' = y, y (0) = 1,

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Q: Given the feasible region formed by the following linear inequalties: 3x − y ≥ 7 2x + y ≥ 20 x + y…

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Q: dy Consider the differential equation da Create a slope field at the indicated points. 2 1 2 -1 -2…

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Q: what is the dimension of the vector space formed by the solution of the system of the following…

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Q: Obtain the center of gravity of the skin of the rotating object that occurs if the arc y = √9 - x2;…

A: As per the question we are given the arc : y = √(9-x2)  for  0≤x≤3 And the surface obtained by…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Given :  y = ∫121s2ds  ;  n = 4           h = b-an ⇒2-14 ⇒ 0.25so interval : x0 = 1 x1= 1.25x2=…

Q: Find the value of ³d(|x|³).

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Q: 10 Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = If we use the 8-1 10…

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Q: If lim an 72-00 lim a2n+1 n-00 L, then lim an = L 11-00

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Q: 3. Draw the special angle triangles. Then complete the table for the following trigonometric ratios.…

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Q: Suppose (X,≺) is a well-ordering and f : X → X is an isomorphism. Then f is the identity function on…

A: Well ordering

Q: 5. Let G be a group of order p'q, where p, q are prime numbers, and q # 1(modp), p² # 1(modq). Prove…

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Q: Q1) Determine the missing value's in the table. the forward divided differences are given by X y(x)…

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Q: 2 Let S be the positively oriented surface parametrized by R(u, v) = (u, v, u² – v²) where (u, v)…

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Q: KE Syl-(G). Prove that (a). HG and KG. (U). G has a cyclic subgroup of order 77. Syl(G),

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Q: 5+²+3+ 외 QJ Given am.g. f.Mx (t) = e for -8 <tex Find The Ex) and E (x)²

A: Given that a moment generating function Mxt=e5t2+3t

Q: Prove that if G is a group of order 60 with no non-trivial normal subgroups, then G has no subgroup…

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Q: 6. Prove that if G is a group of order 231 and H€ Syl₁1(G), then H≤ Z(G). n Core

A: Given that,  G is group of order 231 and H∈syl11G. We first claim that there is a unique Sylow…

Q: 3. Let U= {x: xEZ, 0≤x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and a.…

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Q: Given a vector s (v₁),e m, and let where |J|= n. T uch that LnI= e same subspace

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Q: 4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = b. N is the midpoint of BP. C is…

A: Follow the steps.

Q: Obtain the general solution to the equation. (x² +19) dy dx + xy - 2x = 0 The general solution is…

A: Using integrating factor method

Q: If the interval of convergence of the power series ∞ (-1)(x-c)" is (k, 55] for some k, then find 19…

A: Given,         ∑n=2∞(-1)n(x-c)n19nlnn and interval of convergence is (k, 55].

Q: 9. Suppose only the top 20 % of marks on a university entrance exam qualifies an application for…

A: Here we can use normal distribution to find the minimum marks to be in top 20%. If x are minimum…

Q: 17. dy dx = y2/3

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: {-(3-2) for 0 < x < 1, for 1<x<3. Compute the Fourier sine coefficients for f(x). . Bn= Nπ Give…

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Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

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Q: Find the volume of the paraboloid, z = 9 - x² - y², that lies inside the cylinder x² + y² = 4.

A: It is seen that the paraboloid and cylinder both are extended upto negetive infinity of along z…

Q: Given the planes x=0 y=0 z=0 Calculate the v of a tetrahedron bounded by plane x+2y+3z=6

A: region bounded by x=0,y=o ,z=0 and x+2y+3z=6 is      Take strips  of volume dzdydx from z=0 to…

Q: Find the relation between backwards finite difference and average operator.

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Q: Answer the riddle below by solving the following measures of position. Write your interpretations on…

A: Given riddle "What can you break, even if you never pick it up or touch it?"

Q: bination of (v₁,..., vn). Then we must have m≤n, and there is a replacement of m of the vectors u,…

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Q: n 3. Suppose that 81, 82, 83,... is a strictly increas subsequences 81, 82, 8831... and Bài th…

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