Find the vector determined by the given coordinate vector Ixl, and the given basis B (Simplify your answers.) CS [x] = Scanned with CamScanner

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A: Given Ft=F0sin3πTnt0<t<2Tn302Tn3<t<Tn

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A: Here we use the slope intercept form of the linear function to answer the question as follows.

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A: The Maclaurin series of ln1+x is ln1+x≈x-x22+x33-x44+x55-x66+x77-x88+x99-…. The absolute error, ε is…

Q: primes

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Q: If cos x is replaced by 1-²/2 and [x] < 0.5, what estimate can be made of the error? Does 1-²/2 tend…

A: The Maclaurin series of cos x can be defined as: cos x=1-x22+x424-x6720+…. The inequality: y&lt;k is…

Q: 1. Compute the average height of the cone z = a> 0. r² + y² above the disk x² + y² ≤ a² for

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Q: 3. Suppose f: A → B is injective and g: B→ A satisies f g = wherei is the identity function on B.…

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Q: QS- Five friends meet at the local cafe, where each of them orders one soft drink. In how many ways…

A: Follow the steps

Q: 4. If f ) و show that fg & LC₂.

A: Please find the answerin next step

Q: Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below…

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Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P + 10P²,…

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Q: Let H = Span{u₁,42,43} and K = Span {V₁ V₂ V3}, where each vector is defined below. Find bases for…

A: Here we apply the definition of basis from linear algebra.

Q: 1. You are given f(x)=-3x² 18x - 11 a. Determine the number of zeros/roots of f(x) b. Determine the…

A: Given function is fx=−3x2−18x−11. d We have to determine the maximum and minimum value of fx.…

Q: 2 J₁'(x)=Jn−1 (X) — Jn+1 (x)

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Q: Question: The shaded regions R₁, R2, and R3 (see figure) are formed by the graphs of the following.…

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Q: Show that * Ső› X yn+¹ J₁ (xy) dy=Jn+1 (x)

A: Using the recurrence relation of bessel function

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Q: Verify the identity. (Simplify at each step.) tan t cot t = 1 tan t cot t = cos t cos t sin t = 1

A: Given  Tant. Cott =1

Q: Theorem Let f: G H be a group homomorphism. Then, Im f≤ H.

A: Let us consider the mapping f:G→H . Then f is group homomorphism if  f(x·y)=f(x)·f(y) where, x,y∈G…

Q: calculate y" at x=1 given the following y(0)=5. system y"=5xy'+2xy+5x+1. y'(0)=2

A: Please see the attachment

Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t — 5)y' + (t− 6)y = 0…

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Q: Theorem Let f: G H be a group homomorphism. Then, Im fs H.

A: Let us consider the mapping f:G→H. Then f is group homomorphism if  f(x·y)=f(x)·f(y) , x,y∈G Image…

Q: Let R be the relation on N defined by R = {(n, m) EN x N: m=n+1). Then R is surjective. True False

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Q: For all a > 0 and b> 1, the inequalities In (n) ≤ nº, n < b are true for n sufficiently large (this…

A: Please see the attachment

Q: Given the following initial value problem. dy/dt- yt 1.1y where y(0) - 1 The solution at t 0.75; Le…

A: Euler's method uses the formula: yn+1=yn+hf(xn,yn) to perform the iterations and approximate the…

Q: 3. Express the negation of these propositions using quantifiers, and then express the negation in…

A: We know that , Proposition is a statement which is either correct or incorrect. Quantifiers are word…

Q: (3-1/2+1) ⁹

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Q: SHOW that the topologies of the elkk е чак are Not Comparable.

A: We know that ,  ℝl is the lower limit topology generated by the basis βl consisting of all half open…

Q: 2. Determine the positive real root of In(x²) = 0.7 (a) graphically, (b) using three iterations of…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: √√9-1² ƒ ƒ ™] √z (x² + y²) dxdydz= z=0 y=-3 x=0

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Q: 1.) 201 4sin (x) cos (x) dx dy 0 y² + 1 [¹ylnª (y² + 1)

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Q: - 15. The Newton forward-difference formula is used to approximate f (0.3) given the following data.…

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Q: 7 3х +4 3. их н dx I need to solve the integral but not the denominator Ln

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A: We have to find the solution for the given problem.

Q: Q4) Using Numerical Integration to estimate area between curve (y=2-x) and line (y=-x), with n=3

A: Introduction: The formula of the trapezoidal rule for the numerical integration is given by,…

Q: j Find the general solution of the following ODE by reduction of order. Given that y₁ = is a…

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Q: Calculate Find the arc length of r(t) = (t³ + 2,4t³ + 6), 0≤ t ≤1

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Q: For all x > 1 we have Σσι(n) = η<α ζ(2)2 + O(xlog *). 2

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

A: Solution :-

Q: 4. If 1/2 LCM). ", show that fy & Liv. tige Lim

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Q: 3. A (-3, 2,-5) and B (6, 7, 2) are two points in R³. Determine: [3K, 2A] a) ABI b) A unit vector in…

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Q: The cost of mailing a package weighing up to, but not including, 1 pound is $2.80. Each additional…

A: For a decimal number, the greatest integer function always returns the whole number that is to the…