Find the half-range sine expansion of the following function= f(t) = e' 0 < t < 1

Q: 5. The table shows different values for the function A(x) = 2x5 + 16x¹100x³-528x²-1890x. B(-1)=0…

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Q: 2 Let (a) be a numerical sequence such that a>0 and a = 3. Then n=0 an+1 (A) lim 1-400 an (B) 00 Σ…

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Q: F(s) = -5s (s² + 1)²

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Q: Let X = {aa, bb, ab}, Y = {a, b}, Z = {ab, abab, ababab}. Answer with the elements of following 3…

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Q: The volume of air in the lungs 7 during normal breathing can be modelled by a sinusoidal function.…

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Q: Let p and q represent the following simple statements.   ​p: I work hard. ​q: I graduate.   Write…

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Q: 2. Analyze algebraically what special case in simplex application is present in each of the LP model…

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Q: How do you solve for d) and e)?

A: We will find revenue and then profit using  profit = revenue - cost

Q: Determine the solution of y" + 4y = 8 +34 cos x ; y(0) = 3; y'(0) = 2 where y = f(x) using method of…

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Q: the value of the following. Explain all the reasonin .. lim non 1 . lim nxn

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Q: Estimate 2r + 1d.r with 5 sub-intervals by using left endpoints as sample point

A: SOLUTION :- Riemann sum using left endpoints of subinterval∫abfxdx ≈Δ xfx0+fx1+...+fxn-1, where Δ x…

Q: Given that the three-state model equation are d[A] dt d[B] dt d[C] dt -a[A] + B[B] = = a[A] -…

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Q: Let T: R² → R³ be the linear transformation defined by the formula T(x₁, x₂) = (x₁ + 3x2, I1 = I2,…

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Q: 3) When is there a need to use artificial variables in simplex application? Explain.

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Q: Consider the curve given by the equation y2+x3=0. Find its curvature at the point (−1,1).

A: The given curve is: y2+x3=0   . . . . . (1) We have to find its curvature at the point -1, 1.

Q: Determine the Domain of the Given functi0ns (WRITE YOUR SOLUTION/COMPUTATION ON A PAPER)

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Q: he Perez family is making a patio in the back yard. They are using patio blocks that measure 12…

A: Answer given below.

Q: The compounding periods and the payment periods are the same for an annuity and for an amortization.…

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Q: The differential equation dy dx has an implicit general solution of the form F(x, y) = K, where K is…

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Q: Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below f(t) =…

A: ft=4for 0&lt;t&lt;10elsewhere

Q: (fg)(1) f(x) Use the graphs of f and g shown above to find the following. (a) (g-f)(1) ≈ (2)(1) (b)…

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Q: A graph of a piecewise defined function is given. -6-5-4-3-2-1 f(x) = Need Help? Read It if x ≤ -1 6…

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Q: Solve the initial-value problem xy = y + x² sin x, y Answer: y(x) = (7) 6 = 0.

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Q: (1) A sequence an is given by a₁ = √2, an+1 √2+ an (a) By induction or otherwise, show that a,, is…

A: 1(a)

Q: Maximize z = 20x₁ + 10x₂ + x3 Subject to: 3x₁ - 3x₂ + 5x3 ≤ 50 x₁ + x₂ ≤ 10 X₁-x₂ + 4x₂ ≤ 20 X₁, X₂,…

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Q: QUESTION 6 Find the sum of the first in terms of the series 1 34 Hence, find the infinite sum of the…

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Q: Recall that the distance d(5,) from B= (xo, Yo) is given by the formula: d(8, ) = 1C₁-C₂1 n Prove…

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Q: If I is a line passing through the point (1, 2, 3) and perpendicular to the plane 2r+3y-== 5, which…

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Q: In a group of 100 people, 60 have a DVD player, 50 have a CD player, and 20 have neither. How many…

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Q: The Bessel function of order 0, y = J(x) , satisfies the differentialequation xy" +y' +xy   =0 for…

A: The given differential equation xy''+y'+xy=0 ∀x To find:   a J'0 b J''0.

Q: 5. Use the graph of y = f(x) below to determine which of the following is true when x = 4? 4 3 2 1…

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Q: Graph the feasible region for the system of inequalities. Tell whether the region is bounded or…

A: Given the system of inequalities                     3x+y&lt;9,3x-y&lt;9.

Q: Solve by hand the initial-boundary-value problem 8²u Ət² u(x, 0) du Ət 8²u dx² (x, 0) = 0 1 2 + sin…

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Q: Analyze algebraically what special case in simplex application is present in each of the LP model…

A: As per the question we are given the following linear programming problem MAX Z = 3x1 + 2x2 subject…

Q: A mechanic borrows $7000 to expand his garage. The interest rate is 14% compounded quarterly with…

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Q: can u use derivative on this case ?? and please show me how to finish it with derivative

A: Suppose that the length and width of the rectangular shed is   x m and y m respectively.  from the…

Q: 4) Find the intersection AnB, given A= {11, 12, 13, 14} and B= {26, 27, 28, 29}. 5) Find the union A…

A: 4.Given two sets: A=11, 12, 13, 14 and B=26, 27, 28, 29. To find: A∩B. 5.Given sets are: A=3, 4, 5,…

Q: 6. 7. Calculate sin²roos³ziz. (a)²_²²+c (b) s—5+c (©) –÷c (©) =_=³÷c (e) - co²zsin³z+C Evaluate…

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Q: A permutation operator, P, in a 3 dimensional linear vector space with basis vectors ê, ê, ê3 has…

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Q: 2. Sketch the set of points determined by the condition (a) Re(zi) = 2; (b) |2z+ i = 4.

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Q: 1. Solve the following linear programming model using simplex method. Maximize Subject to: z = 3x₁ +…

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Q: Using method of undetermined coeeficients, solve the given ODE

A: The complementary solution of the homogeneous equation y'' - 2y' - 8y = 0 is yh(x) = c1e^(-4x) +…

Q: Calculate the integral, assuming that f¹ f(x) dx = −2, f² f(x) dx = 6, ſª f(x) dx = 8. (Give your…

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