Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES {n²e-5n} lim an 816

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A: The objective is to convert in terms of polar equation.

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A: Topic = Function

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Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: -00 6w³ 2 (w² + 1)² -dw

A: Use the properties of definite Integral to solve the given integration.

Q: 9. Find the solution to satisfying y = dy dt = 7y || y(6)=9

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Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' &amp; 'y' x=2y2-4 Now solve…

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A: Solution is given below:

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A: Given,

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Q: question b

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ TACHY 1. (D³ - 5D² + 3D + 9)y = 0 2 (D3 D2 1

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Q: Find the composite functions (f g) and (gf). What is the domain of each f(x) = 2/ g(x)=x²-49…

A: We can answer the question as below by filling up the blanks.

Q: The graph of the function f is shown below. Which statement best describes the value of f'(-1)?…

A: Please see the below picture for detailed solution.

Q: Consider the function. f(x)=x²-1 (a) Find the Inverse function of f. f-²(x) =

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Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

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A: The given function is fx=x-1+x+3 on the interval -5≤x≤5

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 20. Then…

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Q: * The following geometric series +∞ Σ n=0 3n+2 +5 11n+1 O converges to 16/9 O converges to 39/14 O…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 7-X Ilm x-7+ x² - 49

A: using simplification,

Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

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A: The given function fx,y=2x3-6x+6xy2

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Q: a) i) Find the exact length of the curve 1 + 4 15x3 y ii) Find the exact area of the surface…

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