sin x - x dx ? %3D 22n (a) (-1)" (b) (-1)". 22n+2 (2n + 2).(2n + 2)! (2n).(2n)! n=l n=1 00 22n+1 22n-1 (c) M" (2n +1).(2n +1)! (2n-1).(2n-1)! n=1 n=1 2n (e) n.n! n%=

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A:

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A:

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A:

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A:

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A:

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A: using by parts you can obtain the result:

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A:

Q: E.X; Let T = {E₁ = (-∞,a): a = R}U{R,Ø} be a topology on R and let A = [2,3), B=(3,4), C = (1,5], D…

A: It is given that,  T = Ea=-∞, a : a∈ℝ∪ℝ, ∅ is a topology on ℝ. We have to find the closure of the…

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Q: dx 4 2 x3 +x3

A:

Q: (a) S 5x2/3 +x5/3 + 3x+/3 dx (b) Sx² - 4 dx (c) Sa? — х — 2) (3- 4х — 2х?) dx

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A: Indefinite Integration

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A:

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A:

Q: We can now apply the Constant Multiple Rule to the first term in the numerator and the Power Rule to…

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Q: Show (a) (AB)' = B'A' (b) (AB)-1 = B-A-1 %3D %3D

A: Let X=abcd, then Xt=acbd. The inverse of X=abcd is calculated using the formula: a  b c  d -1=1deta…

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A:

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A: As per our guidelines we are supposed to solve 3 sub parts , kindly repost the remaining part as…

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A:

Q: 2 0 -8x5 + 15x¹9x³ + 3x²5x+2) d

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Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

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Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

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A: See attached file for a step by step explanation.

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A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.