46 a Show that cos x+ =-sinx. = -sinx. d" (cosx) = cosx + drn b Prove that

Q: Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) У1' %3D…

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Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

A: We have fx=5000+24583x-7418x2+766x3-31x4+0.44x5 and x is from 2 to 8 The formula to integrate…

Q: Bacterial growth is the proliferation of bacterium into two daughter cells, in a process called…

A: Concept: It is given that the proliferation of bacterium into two daughter cells, and the process is…

Q: 2. Find the power series representation of the following functions. And then write out their I.O.C..…

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: prove that - Every groupof order y i's cyclie.

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Q: If (a,b) denotes an arbitrary interval of numbers on the real number line, Find the probability when…

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Q: Find the solution. dy y dx A y = y = -x+ cx-8 y = y-2 -| 00 B.

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Q: Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) Yı' =…

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Q: 6. Tell whether the series whose nth term is given below converges absolutely, condition- ally, or…

A: Please post the multiple parts separately. Here I answered 1st question as per our policy.

Q: 12 4arctan () dx

A: This is a problem of Numerical Analysis.

Q: 23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable,…

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Q: sed betv la y = x² 2

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Q: What is the general solution to the differential equation sin y (x + sin y)dx + 2x² cos y dy = 0 ?…

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Q: Consider the vector space generated by [0, 1, –1, –1], [1,0, 2, 4], [1, 2, –4, 0]. Find an…

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Q: What is the particular solution to the differential equation x + (1+x)y = 12 with y = 0 and dy = 0…

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Q: 5. Given the system 10 2 (a) Find the general solution. (b) Find the solution that satisfies the…

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Q: Find the solution. dy x3– 2y dx х A x= -+ 5 3x3 2y2 5 x3 C x2 5 D xy = + 3 B

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Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1 1) Determine the unit vector…

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Q: Find how many 3 subset can be formed from the set {a,b,c,d,e,f,g,h}.

A: We have to find how many 3 subset can be formed from the set a, b, c, d, e, f, g, h.

Q: What is the general solution to the differential equation y - O + = dx? dx In(Ay – 2) = Ax + B y2 =…

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Q: a) Find the distance between m = [-2,3, 2,0,3, – 13, –5] and n [4, –1,1, -5,0, 11, -3].

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Q: What is the general solution to the differential equation (3 tan x – 2 cos y) sec?x dx + tan x sin y…

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Q: Find the Inverse Laplace Transform of (s+4)3 A ³(2cos21 + - sin2t) e-2(cos21+ -sin2t) (2cos21 +…

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Q: Solve the following differential equation, (s x)+(cos x) y = 3 sin x with the initi al dx condition…

A: Given differential equation is (sin x)dydx + (cos x)y = 3sin x

Q: Which of the following is the general solution to the differential equation x + (1 +x)y = 6? dx xy =…

A: The solution is given as

Q: a) Solve the linear system below using Gauss Elimination and determine whether the solution is…

A: The solution is given as

Q: 2. Rate of calorie consumption. The table below shows the number of calories used per minute as a…

A: Given the table Activity  100lb 120lb 150lb 170lb 200lb 220lb walking 2.7 3.2 4 4.6 5.4 5.9…

Q: 2. Heat is lost steadily through a 0.5-cm thick 2 m 3 3 m window glass whose thermal conductivity is…

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Q: A function g whose domain is R, such that g is not continuous at 0, but g◦g is continuous at 0 what…

A: This is a problem of function.

Q: 3. Determination of integrating factors: 2y(x+ y+ 2)dx + (y -x -4x-1y = 0

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Q: Mark as TRUE or FALSE. You will need to give an explanation. (a) If v1, V2 . .., Vn are linearly…

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Q: d²y What is the particular solution to the differential equation x dx? dy x² with y = 0 and dy = 1…

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Q: Question 5 Find the solution. (D2 + D- 6)y = 0 y = c,e* +c,e2 3x (A) y = c,e* +c,e-2* B – 3x -2r y =…

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Q: Find L10 of the function f(x) = 3* – cos (nx) on [– 3,2]. Explain the Summation Notation you will…

A: here we will find left Riemann sum  ∫abf(x)dx≈∑i=0n-1fxi*Δx    where  Δx=b-anand  xi*= a+i×Δx…

Q: Find the solution. dy y -xy? dx

A: This is a problem of differential equation.

Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

A: We have to sketch the graph in R3.

Q: Which of the following is the general solution to the differential equation (x + sin y) dx + x cos y…

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Q: 8. PROVE: Suppose that SCR is connected, and that f : R → R is continuous. Then f(S) is connected.…

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Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: 52 Which expressions are equivalent to ? Choose 2 answers: 1 56 1-6 (52) -3 (5°) -8

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Q: y = 4x4+(3+51)x3+5x2-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Slope of the tangent to the curve y=fx at x=x0  Differentiate equation of curve with respect to x…

Q: Find the solution. (x³ + 3y) dx – xdy = 0

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Q: Find the number of permutations without replacement that can be created by drawing 5 balls from a…

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Q: What is the general solution to the differential equation (tan x)dy – (4yIn y – y tan³x)sec?x dx = 0…

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Q: 8. PROVE: Suppose that S CR is connected, and that f : R → R is continuous. Then f(S) is connected.…

A: We want to prove f(S) is connected.

Q: [2 1 11 b) Find the inverse of the matrix L = 3 4 1 with the determinant of the matrix L = -2. [3 2…

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Q: 17. What is the general solution of the differential equation (y² + 9)dx + (3x – 2xry)dy = 0? 2y A)…

A: We have to find the general solution of the differential equation y2+9dx+(3x-2xy)dy=0.

Q: b) Determine whether the matrices L- ), M = [ - 3 - 2 2 4 3 ,and N = -2 2 are linearly independent…

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Q: (d) If v is an eigenvector for a matrix A and a matrix B then v is an eigenvector for A+ B.

A: TrueJustification:Suppose v is an eigenvector for a matrix A and a matrix B.Then there exist real…

Q: Express the following permutation as a product of disjoint cycles. ). 1 2 3 4 5 6 7 8 9 10 11 12 f 2…

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