1) How can you solve the relatively easy ODE y" = - g? 2) What is the origin and the meaning of the constants in these solutions ? 3) What ODE describes the motion of a pendulum precisely - even for large angles?

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Q: Which operation is a linear transformation? Differentiation of polynomial functions Laplace…

A: To Check: Which of the following is a linear transformation? Differentiation of polynomial…

Q: = || Solve the following system of linear equations in the two unknowns x and y. -6x +9y = 57 9x+5y:…

A: The given system of linear equation is…

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Q: how to solve 2sin2x=2cosx the answer is cosx=0 2sinx-1=0

A: We know,         sin(2x) = 2sin(x)cos(x)  Hence,        2sin(2x) = 2cos(x)       => sin(2x) =…

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Q: (t². 0<t<1 1<t<2 2<t<3 5) x(t)=3-t, t+1

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Q: Discrete Mathematics Question. Prove this using Boolean Algebraic laws left to right.Solve it step…

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A: Given: a) x→45x+1x b) x→x2+52x c) x→x+5x+1 To Find: Which of the above three fixed point iterations…

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A: The random variable X has the pdf           f(x) = θ-1e-x/θ       So, for random samples x1, x2,. .…

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Q: √(21,22,231 3(z − 1)² dz, where z₁ = 1, z2 = i, z3 = 1+i.

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Q: The number of bacteria in a refrigerated food product is given by N(T) = 22T² - 105T +53, 5 <T < 35…

A: It is given that function for the number of bacteria in refrigerated food is NT=22T2-105T+53, where…

Q: Consider the following polynomials in P • P4(x)=x+1; Ps(x)=²+1; • Pu(x)=2²³ +1. P₁(x) = x³ + x² +1;…

A: The given polynomials are p1x=x3+x2+1p2x=x3+xp3x=x2+xp4x=x+1p5x=x2+1p6x=x3+1 (a) We have to find a…

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Q: write the argument using propositional wffs (use the statement letters shown). Then, using…

A: Suppose, the statements are: D= "a democrat is elected". T="the taxes will go up". B="the bill will…

Q: F(t) = at ² + b ² + c + X (2,7) (-1,9) f(3) = 2 +0+40 2 823)=9 f(-1) = -5 f(2)=4 a(2)² + b (2) + <=…

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Q: Question 7: Show that the family of equations y(t) = (1-2c)t + c²-c+ 1 satisfy the differential…

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Q: Consider the function f: [0, 47] → R defined by J(x): A. Find the increasing/decreasing intervals of…

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Q: 2. Consider the linear system (where a and ß are constants): x + 3y +z = a Bx+y+z=-1 2x+3y + 4z = 3…

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Q: Find the Laplace transform of sinhbr. Recall that coshbr = (sinhbt) = {sinhbt} ○ (sinhbt] = O2…

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Q: A survey was conducted among 74 patients admitted to a hospital cardiac unit during a two-week…

A: Number of patient : 74 Patient with high blood pressure: nB=30 Patient with high Cholesterol level:…

Q: Q1. Find the radius of convergence m=0 .2m+1 X (2m + 1)!

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Q: Sherman-Morrison formula) Suppose the inverse of A = An×n is known, now we perturb each element of…

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Q: 1. The graph of f(x) = ab* is shown below: -5-4-3-2 5 4 3 2 to ww 1 2 3 4 5 X Which statement is…

A: fx=abx

Q: suppose a company has fixed costs of 31,200$ and variable cost per unit of 1/3x +222 where x is…

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Q: Let p(z) be a polynomial with complex coefficiants and defree less than or equal to 2. It is true…

A: Given that, pz is a polynomial with complex coefficients and the degree less than or equal to 2. A.…

Q: = (d) L(3.98) where L(x) is the linearization of y √x+3 at x = 1 (tangent line approximation)

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Q: A matrix has 4 rows and 5 columns. The first column of the matrix represents the coefficients of x,…

A: We have to find the value of x, y and z and established a matrix of 4 row and 5 column.

Q: HELP ASAP!!!! 1 &amp; 2

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Q: 13. Find a function f(y) with the property that: for each = f(y), the limiting value lim, y(r)…

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Q: c. Based on your experience in parts (a) and (b), conjecture an antiderivative for each of the…

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Q: Find the expansion base 6 of 128. Ex: 101 Check Next 2

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Q: 6. Tell whether the following two expressions are equivalent by constructing their truth tables in…

A: Given that  the  statements p∨q∧r and p∨q∧p∨r    .