Find the Maclaurin Series for the function

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A: Given, f(x)=-x3+3 Differentiate w.r.t " x'' , we get∴f'(x)=-3x2

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Q: The function A = Aoe 0.18t models the amount an individual owes a credit company t years after some…

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Q: 1) Given f(x) = ax³ + bx² + cx+d, the slope of f(x) at (2,11) is 13, ƒ"(1)=6, and f(0) = 12, find a,…

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Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(−1) = −2, find ƒ'(-1). f'(-1) = 0

A: Given46+3f(x)+5x2f(x)3=0f-1=-2   We are required to findf'(-1)

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A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

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Q: Find dx dt dy dt dy dx dx dy dt' dt' || = and dy dx x = 3t³ + 5t, 6t² y = 4t -

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Q: wing function, find f'(a). n equation of the line tangent to the graph of f at (a, a=4

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Q: Consider the graph of the function g given by g(x): (Remember that one?) Let A(x) be the area of the…

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Q: 44 ♫f sin (y²) dydx 0 x

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Q: Find u v, uu, |v||2, (u v)v, and u. (3v). u = (2, -2, 4), v = (0, 7, 4) (a) 2 (b) 24 u. V UU (c)…

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Q: Consider the equation below. f(x) = 4x³ - 21x² - 294x + 3 (a) Give the intervals where f(x) is…

A: given f(x)=4x3-21x2-294x+3d dx(xn)=nxn-1

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A: For a rotation about y-axis, the solid will look like as below A circular disc of thickness dy of…

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Q: For the following demand equation, differentiate implicitly to find dp/dx. p5 + p - 6x = 60 dp II

A: given   p5+p-6x=60d dx(xn)=nxn-1d dx(costant)=0

Q: 1. Suppose for all n, an and bn are positive. If lim n-x Σan = 6 then Σαπ n=1 n=1 bn is also…

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Q: If csch x= (√39/5) and x > 0, find coth x

A: given csch x=395we know 1+csch2 x=coth2 x

Q: 10. (9x² + y - 1) - (4y - x) y' = 0, y(1) = 0

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Q: - Find f(a), f(a + h), and the difference quotient f(a+h) – f(a), where h ± 0. h f(x) = 5x X-9

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Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from…

A: We have given the  R= 9m, and L= 3m density of the tank = 1000kg/m Find the work done in megajoules.…

Q: Given the matrix equation: 1 [223] [] -2 4 -18 Which of the following represents the solution to…

A: The matrix equation is given by 13-24xy = -1-18 To determine: The solution of the equation.

Q: Suppose that f is an even function and g is an odd function and both are integrable on the interval…

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Q: Write the sum using sigma notation: 1 + + +...+ Σ 1 + 109-110 = ₁ B, where 2-3 1-2 A = B = 1 3-4

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Q: If ƒ (x) +x5(ƒ (x) )² = 34 and f(1) = 2, then f'(1) =

A: Derivative

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Q: State whether the following series is Convergent or Divergent. Σ (-1)" √n /n + 1 n=1 Absolutely…

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Q: An mxn lower triangular matrix is one whose entries above the main diagonal are 0's (as in Exercise…

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Q: Evaluate cshc -1(2) (You may enter an exact answer involving ln or rounded to four decimal places.)

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Q: 2. Find the general solution of the differential equation e-ty' - y = 2e-t+et

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have asked…

Q: sech x = (√21/5)  , find tanh x.

A: Given query is to find value of tanh (x).

Q: Write an integral that represents the arc length of the curve on the given interval. Do not evaluate…

A: Please see the below picture for detailed solution.

Q: 2√2x-x² 1. S S 0 0 5√√x² + y² dydx 2

A: Given integral:- ∫01∫02x-x25x2+y2dydx